Journal of Pseudo-Differential Operators and Applications

Papers
(The median citation count of Journal of Pseudo-Differential Operators and Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
Gabor multipliers associated with the Bessel–Kingman hypergroup12
Weighted composition operator on Gamma spaces with variable exponent11
Time-frequency analysis of localization operators for the non-isotropic n-dimensional modified Stockwell transform10
Properties of bounded representations for G-frames9
Boundary value problem with tempered fractional derivatives and oscillating term9
GP-woven dual frames9
Pseudo-fractional differential equations and generalized g-Laplace transform8
Uncertainty principles for the fractional quaternion fourier transform7
Frame wavelet set and frequency frame wavelet in $$L^2({\mathbb {R}}^n)$$7
Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities7
Dunkl–Stockwell transform and its applications to the time–frequency analysis6
A class of fractional parabolic reaction–diffusion systems with control of total mass: theory and numerics6
Fractional Hankel wavelet transform on the Schwartz type space6
The Hartley–Bessel function: product formula and convolution structure6
Some new estimates concerning the Mellin transform on the space $$X_{c}^{2}$$6
Combined effects in nonlinear elliptic equations involving fractional operators5
Controlled continuous $$*$$-g-frames in Hilbert $$C^{*}$$-modules5
Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds5
Index Whittaker transforms over Lebesgue spaces5
Application of functional analysis in research of an M/G/1 retrial queueing model4
Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity4
On Heisenberg and local uncertainty principles for the multivariate continuous quaternion Shearlet transform4
Bounded and Fredholm properties of SG-pseudo-differential operators in variable exponent spaces4
$$L^p$$ properties of non-Archimedean fractional differentiation operators4
Logvinenko-Sereda type theorems for the short time Fourier transform4
The directional short-time fractional Fourier transform of distributions4
Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform4
Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time4
Dual Boas-type theorems and weighted integrability results for second Hankel–Clifford transform3
Moduli of smoothness and generalized canonical Fourier–Bessel diffrential operator on the half-line3
On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic $$\alpha $$-stable stochastic process3
Existence and blow-up of solutions for a class of semilinear pseudo-parabolic equations with cone degenerate viscoelastic term3
Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system3
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions3
Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg’s uncertainty principles3
Average sampling and reconstruction of quasi shift-invariant stochastic processes3
Inequalities for linear combinations of orthogonal projections and applications3
Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces3
Boas-type theorems for Laguerre type operator3
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds3
An extension of localization operators3
New classes of p-adic evolution equations and their applications3
Generalised Hardy type and Rellich type inequalities on the Heisenberg group3
FIOs with cusp singularities and open umbrellas3
Uncertainty principles for the biquaternion offset linear canonical transform3
Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications3
A structure theorem for fundamental solutions of analytic multipliers in $${\mathbb {R}}^n$$3
Continuity properties of multi-parameter pseudodifferential operators on Bony class3
Basic results for fractional anisotropic spaces and applications3
On paracomposition and change of variables in paradifferential operators2
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces2
On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity2
Some results of pseudo-differential operators related to the spherical mean operator2
$$\alpha $$-Windowed Fourier transform ($$\alpha $$-WFT)2
Convolution based fractional Wigner distribution and ambiguity function: theory and applications2
On the relations of general homogeneous spaces and the two-wavelet localization operators2
Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs2
Singular elliptic problem involving a fractional p-Laplacian with discontinuous nonlinearity2
Time-frequency analysis associated with the deformed Stockwell transform2
Some approximation theorems in Fourier-Jacobi analysis and Boas type results for Nikol’skii spaces2
Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems2
An integral representation of pseudo-differential operators involving weinstein transform2
Time-frequency analysis associated with multidimensional Hankel-Gabor transform2
$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces2
Linear canonical ripplet transform: theory and localization operators2
Spectral decomposition of Dunkl Laplacian and application to a radial integral representation for the Dunkl kernel2
Windowed linear canonical transform and its applications to the time-frequency analysis2
Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum2
A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group2
Boundedness and uniqueness of quaternion Weyl transform2
$$L^p$$-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform2
Algebras of Mellin pseudodifferential operators with quasicontinuous symbols2
Time–frequency analysis associated with the k-Hankel Gabor transform on $${\mathbb {R}}^{d}$$2
Localization operators and wavelet multipliers involving two-dimensional linear canonical curvelet transform2
Hyperbolic problems with totally characteristic boundary1
A new approach to neural networks using pseudo-differential operators1
Hausdorff operators associated with the Opdam–Cherednik transform in Lebesgue spaces1
Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients1
Commutators of bilinear $$\theta $$-type Calderón–Zygmund operators on two weighted Herz spaces with variable exponents1
Extended Sobolev scale on $$\mathbb {Z}^n$$1
k-Hankel Wigner transform and its applications to the Localization operators theory1
Different approach to the decomposition theory of $$HM^p_{q,{\varDelta _{\nu }}}$$ Hardy–Morrey spaces1
Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space1
Fractional Euclidean bosonic equation via variational1
Phase space Feynman path integrals of parabolic type on the torus as analysis on path space1
A direct proof of the Sharp Gårding inequality for symbols with limited smoothness1
Growth properties of Hartley transform via moduli of continuity1
On evolution of the classical heat and the quantum wave generated by the Laplacian on the Heisenberg group1
On K-woven frames in Hilbert $$C^{*}$$-modules1
Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform1
A Poincaré determinant on the torus1
Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials1
Unique continuation for fractional p-elliptic equations1
Bilinear multipliers on Orlicz spaces on locally compact groups1
Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions1
Quadratic-phase wavelet scalogram1
Jackson’s inequalities in Laguerre hypergroup1
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction1
On g-frame representations via linear operators1
Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces1
Modified scattering for the higher-order KdV–BBM equations1
A more direct way to the Cauchy problem for effectively hyperbolic operators1
Weyl operator associated with index Whittaker transform1
A holomorphic mapping property of analytic pseudo-differential operators1
Boundedness of vector-valued Calderón-Zygmund operators on non-homogeneous metric measure spaces1
The localization operator and wavelet multipliers involving the Watson transform1
The heat semigroups and uncertainty principles related to canonical Fourier–Bessel transform1
Pseudo-duals of continuous frames in Hilbert spaces1
Uncertainty principles for the offset linear canonical transform1
Estimates for the Berezin number inequalities1
Localization operators related to Stockwell transforms on locally compact abelian groups1
Phase retrieval and norm retrieval in tensor product space1
Localization operators associated to linear canonical Dunkl wavelet transform1
Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source1
Semilinear wave equation on compact Lie groups0
On joint bump conditions for multilinear square functions0
Linear canonical deformed Hankel transform and the associated uncertainty principles0
A universal identifier for communication channels0
Propagation of anisotropic Gelfand–Shilov wave front sets0
Pseudo-differential operators associated with a pair of quadratic-phase Hankel transformations0
Solvability of fractional integral equations via Darbo’s fixed point theorem0
Commutators of singular $$\varvec{\mathbb {K}}$$-pseudodifferential operators in $$\varvec{\mathbb {R}_n}$$0
Investigation into double-phase elliptic problems with boundary conditions, incorporating a logarithmic convection term0
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators0
Product local Hardy spaces associated with ball quasi-Banach function spaces0
Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions0
Hardy type uncertainty principles for fractional Hankel transform0
Mellin integral transforms and generalized Lipschitz and Zygmund spaces0
On the boundedness of rough bi-parameter Fourier integral operators0
Heisenberg uncertainty principle for Gabor transform on compact extensions of $$\mathbb {R}^n$$0
An interplay between parameter (p, q)-Boas transform and linear canonical transform0
Some further classes of pseudo-differential operators in the p-adic context and their applications0
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications0
Application of Bargmann transform in the study of affine heat kernel transform0
Multipliers on $${{\mathcal {S}}}_{\omega }({{\mathbb {R}}}^N)$$0
Essential spectra and semigroups of perturbations of generalized SG-hypoelliptic pseudo-differential operators on $$L^{p}\left( {\mathbb {R}}^{n}\right) $$0
Linear and nonlinear pseudo-differential operators on p-adic fields0
Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups0
Spectral analysis via higher-dimensional shearlet transform0
On a singular $$p(x,\mathbin {\cdot })$$-integro-differential elliptic problem0
A note on operating functions of modulation spaces0
The general Dabrowski–Sitarz–Zalecki type theorem for odd dimensional manifolds with boundary III0
Matrix-Wigner global wave front sets in ultradifferentiable classes0
Nuclearity for power series kernels in higher dimensions0
Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect0
Optimal $$L^{2}$$-growth of the generalized Rosenau equation0
$$L^{p}$$-regularity of rough bi-parameter Fourier integral operators0
The infinite-order integro-differential operator related to the Lebedev–Skalskaya transform0
Restriction theorem for the Fourier–Dunkl transform I: cone surface0
Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations0
On abstract results of operator representation of frames in Hilbert spaces0
Some Hardy and Rellich type inequalities for affine connections0
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals0
The Wigner and Weyl transforms attached to the Heckman–Opdam–Jacobi theory on $${\mathbb {R}}^{d+1}$$0
A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise0
Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains0
Topology of the space of conormal distributions0
Localization operators for the windowed Kontorovich Lebedev transform0
Semilinear fractional elliptic equations with combined nonlinearities and measure data0
Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent0
Fractional heat equation with singular nonlinearity0
A discrete algorithm for general weakly hyperbolic systems0
On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents0
Properties and applications of quaternion quadratic phase Fourier transforms0
Wiener amalgam spaces with respect to orlicz spaces on the affine group0
Group classification and constructing conservation laws for time-fractional Sawada–Kotera–Parker–Dye equation0
Subspace dual and orthogonal frames by action of an abelian group0
The octonionic ripplet transforms: a mathematical perspective0
Existence results for nonlinear neutral generalized Caputo fractional differential equations0
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces0
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback0
Chracterization of generalized Campanato spaces with variable exponents via fractional integrals0
Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators0
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients0
Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$0
Existence of positive solutions to nonlinear singular parabolic equations with Hardy potential0
Weighted norm inequalities related to fractional Schrödinger operators0
The gyrator transform of the generalized functions0
Fundamental solutions and decay rates for evolution problems on the torus $$\mathbb {T}^n$$0
Geodetically convex sets in the Heisenberg group $${\mathbb {H}}^n$$, $$n \ge 1$$0
$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators0
Three solutions for a fractional p-Laplacian problem0
Weighted estimates for pseudo-differential operators with weak regular symbols and their commutators0
Using tensor product dual frames for phase retrieval problems0
On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$0
The Wigner global wave front set in spaces of tempered ultradistributions0
Frame multiresolution analysis on $${\mathbb {Q}}_p$$0
Equivalence relations and distances between generalized frames0
Wave equations with a damping term degenerating near low and high frequency regions0
$$L^{p}$$ Boundedness and compactness of localization operators associated with the k-Hankel wavelet transform on $${\mathbb {R}}^{d}$$0
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator0
Canonical Fourier-Bessel transform and their applications0
Weighted inequalities for multilinear fractional operators in Dunkl setting0
Maximum principle for partially observed risk-sensitive optimal control problem of McKean–Vlasov FBSDEs involving impulse controls0
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups0
$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators0
Mixed local and nonlocal equation with singular nonlinearity having variable exponent0
Two disjoint and infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities0
Fractional Fourier transform for space–time algebra-valued functions0
Wigner-Ville distribution function in the framework of linear canonical transform0
Pseudo-differential operators on Orlicz modulation spaces0
Tighter Heisenberg–Weyl type uncertainty principle associated with quaternion wavelet transform0
The convergence constants and non linear approximations of fusion frames0
Basic calculus of pseudodifferential operators with nonsmooth symbols0
Some uncertainty inequalities for the continuous wavelet transform0
Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach0
Octonion Fourier transform of Lipschitz real-valued functions of three variables on the octonion algebra0
Fusion frames for operators and atomic systems0
Morse’s theory and local linking for a fractional $$(p_{1}(\textrm{x}.,), p_{2}(\textrm{x}.,))$$: Laplacian problems on compact manifolds0
Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform0
Some existence results for a fractional problem involving Hardy potential and variable exponent singular term0
Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups0
Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities0
A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations0
Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models0
$$\Theta $$-type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces0
On the qualitative behavior of solutions for a quasilinear $$\Delta _p$$ equation in the Heisenberg group0
Elliptic boundary value problems associated with isometric group actions0
Investigation of fractional order inclusion problem with Mittag-Leffler type derivative0
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems0
Time-frequency concentration and localization operators associated with the directional short-time fourier transform0
Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary0
Pseudodifferential operators with completely periodic symbols0
Quasinormable Fréchet spaces and M. W. Wong’s inequality0
Amrein–Berthier and Logvinenko–Sereda uncertainty principles for the Hankel–Stockwell transform0
$$L^{1}$$-boundedness of rough Fourier integral operators0
Toeplitz operators and composition operators on the q-Bergman space0
On the solvability of non-linear fractional integral equations of product type0
On the partial and microlocal regularity for generalized Métivier operators0
Representation of frames as regular k-distance sets0
Existence and uniqueness for p-adic counterpartof the porous medium equation0
Sharp reverse fractional Hausdorff inequality on power-weighted Lebesgue spaces0
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles0
The Vladimirov–Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity0
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators0
Monotonicity and symmetry of solutions to fractional p-laplacian systems0
On the smoothness in the weighted Triebel-Lizorkin and Besov spaces via the continuous wavelet transform with rotations0
Bochner–Riesz operators in grand lebesgue spaces0
Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable0
Characterizations of weaving for g-frames by induced sequences0
Oblique dual and g-dual frames in separable quaternionic Hilbert spaces0
The fractional logarithmic Schrödinger operator: properties and functional spaces0
Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator0
Equivalence of K-functionals and modulus of smoothness for Laguerre type operator0
Many-body Stark resonances by the complex absorbing potential method0
Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$0
$$\psi $$-Mittag–Leffler pseudo-fractional operators0
Estimates for a certain bilinear Fourier integral operator0
Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces0
Some unexpected behaviors of operators with small time-frequency dispersion0
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