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 2021-04-01 to 2025-04-01.)
ArticleCitations
Gabor multipliers associated with the Bessel–Kingman hypergroup15
Weighted composition operator on Gamma spaces with variable exponent11
An $$n-$$dimensional pseudo-differential operator involving quadratic phase Fourier transform and applications in quantum mechanics10
Properties of bounded representations for G-frames9
Time-frequency analysis of localization operators for the non-isotropic n-dimensional modified Stockwell transform9
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
Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities7
Frame wavelet set and frequency frame wavelet in $$L^2({\mathbb {R}}^n)$$7
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
Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds5
Application of functional analysis in research of an M/G/1 retrial queueing model5
Combined effects in nonlinear elliptic equations involving fractional operators5
The directional short-time fractional Fourier transform of distributions5
Index Whittaker transforms over Lebesgue spaces5
Controlled continuous $$*$$-g-frames in Hilbert $$C^{*}$$-modules5
Logvinenko-Sereda type theorems for the short time Fourier transform4
Boas-type theorems for Laguerre type operator4
Bounded and Fredholm properties of SG-pseudo-differential operators in variable exponent spaces4
Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time4
Uncertainty principles for the biquaternion offset linear canonical transform4
Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity4
On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic $$\alpha $$-stable stochastic process4
$$L^p$$ properties of non-Archimedean fractional differentiation operators4
On Heisenberg and local uncertainty principles for the multivariate continuous quaternion Shearlet transform3
Existence and blow-up of solutions for a class of semilinear pseudo-parabolic equations with cone degenerate viscoelastic term3
Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications3
Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces3
Basic results for fractional anisotropic spaces and applications3
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
$$\alpha $$-Windowed Fourier transform ($$\alpha $$-WFT)3
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds3
Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system3
Continuity properties of multi-parameter pseudodifferential operators on Bony class3
Some approximation theorems in Fourier-Jacobi analysis and Boas type results for Nikol’skii spaces3
Generalised Hardy type and Rellich type inequalities on the Heisenberg group3
$$L^p$$-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform3
Convolution based fractional Wigner distribution and ambiguity function: theory and applications3
New classes of p-adic evolution equations and their applications3
A structure theorem for fundamental solutions of analytic multipliers in $${\mathbb {R}}^n$$3
An extension of localization operators3
Inequalities for linear combinations of orthogonal projections and applications3
Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform3
Dual Boas-type theorems and weighted integrability results for second Hankel–Clifford transform3
Time-frequency analysis associated with multidimensional Hankel-Gabor transform3
An integral representation of pseudo-differential operators involving weinstein transform2
Hausdorff operators associated with the Opdam–Cherednik transform in Lebesgue spaces2
Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform2
Some results of pseudo-differential operators related to the spherical mean operator2
Algebras of Mellin pseudodifferential operators with quasicontinuous symbols2
Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs2
On paracomposition and change of variables in paradifferential operators2
FIOs with cusp singularities and open umbrellas2
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces2
Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum2
A Poincaré determinant on the torus2
Boundedness and uniqueness of quaternion Weyl transform2
Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials2
$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces2
Windowed linear canonical transform and its applications to the time-frequency analysis2
Spectral decomposition of Dunkl Laplacian and application to a radial integral representation for the Dunkl kernel2
Time-frequency analysis associated with the deformed Stockwell transform2
A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group2
A holomorphic mapping property of analytic pseudo-differential operators2
Boundedness of vector-valued Calderón-Zygmund operators on non-homogeneous metric measure spaces2
Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems2
Localization operators associated to linear canonical Dunkl wavelet transform2
Singular elliptic problem involving a fractional p-Laplacian with discontinuous nonlinearity2
Moduli of smoothness and generalized canonical Fourier–Bessel diffrential operator on the half-line2
Localization operators and wavelet multipliers involving two-dimensional linear canonical curvelet transform2
Quadratic-phase wavelet scalogram1
Bilinear multipliers on Orlicz spaces on locally compact groups1
Extended Sobolev scale on $$\mathbb {Z}^n$$1
Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients1
Time–frequency analysis associated with the k-Hankel Gabor transform on $${\mathbb {R}}^{d}$$1
The heat semigroups and uncertainty principles related to canonical Fourier–Bessel transform1
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions1
On g-frame representations via linear operators1
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
On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity1
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction1
Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform1
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators1
Pseudo-duals of continuous frames in Hilbert spaces1
A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations1
Linear canonical ripplet transform: theory and localization operators1
Commutators of bilinear $$\theta $$-type Calderón–Zygmund operators on two weighted Herz spaces with variable exponents1
The localization operator and wavelet multipliers involving the Watson transform1
k-Hankel Wigner transform and its applications to the Localization operators theory1
Growth properties of Hartley transform via moduli of continuity1
Jackson’s inequalities in Laguerre hypergroup1
A more direct way to the Cauchy problem for effectively hyperbolic operators1
Localization operators related to Stockwell transforms on locally compact abelian groups1
A direct proof of the Sharp Gårding inequality for symbols with limited smoothness1
Phase retrieval and norm retrieval in tensor product space1
On joint bump conditions for multilinear square functions1
Estimates for the Berezin number inequalities1
Weyl operator associated with index Whittaker transform1
Different approach to the decomposition theory of $$HM^p_{q,{\varDelta _{\nu }}}$$ Hardy–Morrey spaces1
Uncertainty principles for the offset linear canonical transform1
Well-posedness and blow-up of solutions for the p(l)-biharmonic wave equation with singular dissipation and variable-exponent logarithmic source1
Unique continuation for fractional p-elliptic equations1
Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces1
Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions1
Modified scattering for the higher-order KdV–BBM equations1
Fractional Euclidean bosonic equation via variational1
Hyperbolic problems with totally characteristic boundary1
A new approach to neural networks using pseudo-differential operators1
Phase space Feynman path integrals of parabolic type on the torus as analysis on path space1
Properties and applications of quaternion quadratic phase Fourier transforms1
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles0
The general Dabrowski–Sitarz–Zalecki type theorem for odd dimensional manifolds with boundary III0
Many-body Stark resonances by the complex absorbing potential method0
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals0
Equivalence relations and distances between generalized frames0
Modular convergence of semi-discrete neural network operators in Orlicz space0
Optimal $$L^{2}$$-growth of the generalized Rosenau equation0
Calculus of k-fractional derivative with respect to monotonic functions0
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator0
On the qualitative behavior of solutions for a quasilinear $$\Delta _p$$ equation in the Heisenberg group0
The convergence constants and non linear approximations of fusion frames0
Two disjoint and infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities0
Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space0
Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$0
Sign-changing solutions for fractional Kirchhoff equations with cubic growth in bounded domains0
Five ways to recover the symbol of a non-binary localization operator0
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups0
Semilinear fractional elliptic equations with combined nonlinearities and measure data0
Spectral analysis via higher-dimensional shearlet transform0
Maximum principle for partially observed risk-sensitive optimal control problem of McKean–Vlasov FBSDEs involving impulse controls0
Topology of the space of conormal distributions0
Phase space representation of the density operator: Bopp pseudodifferential calculus and Moyal product0
On the boundedness of rough bi-parameter Fourier integral operators0
Some further classes of pseudo-differential operators in the p-adic context and their applications0
Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable0
Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect0
Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach0
Characterizations of weaving for g-frames by induced sequences0
Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions0
A discrete algorithm for general weakly hyperbolic systems0
Amrein–Berthier and Logvinenko–Sereda uncertainty principles for the Hankel–Stockwell transform0
The gyrator transform of the generalized functions0
Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators0
Some unexpected behaviors of operators with small time-frequency dispersion0
On the partial and microlocal regularity for generalized Métivier operators0
Three solutions for a fractional p-Laplacian problem0
Geodetically convex sets in the Heisenberg group $${\mathbb {H}}^n$$, $$n \ge 1$$0
On $$L^2$$ boundedness of rough Fourier integral operators0
$$L^{1}$$-boundedness of rough Fourier integral operators0
Fractional heat equation with singular nonlinearity0
The Vladimirov–Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity0
A note on the inhomogeneous fourth-order Schrödinger equation0
On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$0
Extending the scaling Wigner distribution in the realm of linear canonical domains0
Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations0
A note on operating functions of modulation spaces0
Fundamental solutions and decay rates for evolution problems on the torus $$\mathbb {T}^n$$0
Wave equations with a damping term degenerating near low and high frequency regions0
A note on a generalized singular capillarity system with $$\Im $$-Hilfer fractional derivative0
The infinite-order integro-differential operator related to the Lebedev–Skalskaya transform0
$$\Theta $$-type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces0
Wigner-Ville distribution function in the framework of linear canonical transform0
Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities0
Matrix-Wigner global wave front sets in ultradifferentiable classes0
On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents0
The poly-axially wavelet transform and applications0
Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces0
On abstract results of operator representation of frames in Hilbert spaces0
Chracterization of generalized Campanato spaces with variable exponents via fractional integrals0
Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent0
Pseudo-differential operators on Orlicz modulation spaces0
Investigation into double-phase elliptic problems with boundary conditions, incorporating a logarithmic convection term0
Some Hardy and Rellich type inequalities for affine connections0
Some uncertainty inequalities for the continuous wavelet transform0
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients0
$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators0
Weighted norm inequalities related to fractional Schrödinger operators0
Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary0
Tighter Heisenberg–Weyl type uncertainty principle associated with quaternion wavelet transform0
Equivalence of K-functionals and modulus of smoothness for Laguerre type operator0
Basic calculus of pseudodifferential operators with nonsmooth symbols0
Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups0
Elliptic boundary value problems associated with isometric group actions0
$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators0
Solvability of fractional integral equations via Darbo’s fixed point theorem0
Existence of positive solutions to nonlinear singular parabolic equations with Hardy potential0
Localization operators for the windowed Kontorovich Lebedev transform0
Quasinormable Fréchet spaces and M. W. Wong’s inequality0
Mellin integral transforms and generalized Lipschitz and Zygmund spaces0
Commutators of singular $$\varvec{\mathbb {K}}$$-pseudodifferential operators in $$\varvec{\mathbb {R}_n}$$0
On a singular $$p(x,\mathbin {\cdot })$$-integro-differential elliptic problem0
Growth and blow-up of solutions for a viscoelastic wave equation with logarithmic source, fractional conditions, and non-linear boundary feedback0
Essential spectra and semigroups of perturbations of generalized SG-hypoelliptic pseudo-differential operators on $$L^{p}\left( {\mathbb {R}}^{n}\right) $$0
A new uncertainty principle related to the generalized quaternion Fourier transform0
A universal identifier for communication channels0
Mixed local and nonlocal equation with singular nonlinearity having variable exponent0
Morse’s theory and local linking for a fractional $$(p_{1}(\textrm{x}.,), p_{2}(\textrm{x}.,))$$: Laplacian problems on compact manifolds0
Sharp reverse fractional Hausdorff inequality on power-weighted Lebesgue spaces0
Existence and uniqueness for p-adic counterpartof the porous medium equation0
The novel Clifford-valued quadratic-phase wave packet transform and its applications0
The fractional logarithmic Schrödinger operator: properties and functional spaces0
Fusion frames for operators and atomic systems0
Multipliers on $${{\mathcal {S}}}_{\omega }({{\mathbb {R}}}^N)$$0
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators0
Global hypoellipticity of G-invariant operators on homogeneous vector bundles0
On the smoothness in the weighted Triebel-Lizorkin and Besov spaces via the continuous wavelet transform with rotations0
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications0
Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$0
On the solvability of non-linear fractional integral equations of product type0
Formation of Turing patterns in the Schnakenberg system over the p-adic integers0
Bochner–Riesz operators in grand lebesgue spaces0
Propagation of anisotropic Gelfand–Shilov wave front sets0
The octonionic ripplet transforms: a mathematical perspective0
Time-frequency concentration and localization operators associated with the directional short-time fourier transform0
$$\psi $$-Mittag–Leffler pseudo-fractional operators0
Blow-up and global existence of solutions for a new class of parabolic $$p(\textrm{x}, \cdot )-$$ Kirchhoff equation involving nonlinearity logarithmic0
A Dyson-type series solution to some time-dependent Schrödinger equations on finite adeles0
Fractional Fourier transform for space–time algebra-valued functions0
Semilinear wave equation on compact Lie groups0
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems0
Investigation of fractional order inclusion problem with Mittag-Leffler type derivative0
Pseudodifferential operators with completely periodic symbols0
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces0
Estimates for a certain bilinear Fourier integral operator0
Subspace dual and orthogonal frames by action of an abelian group0
A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise0
Weighted inequalities for multilinear fractional operators in Dunkl setting0
Oblique dual and g-dual frames in separable quaternionic Hilbert spaces0
Nuclearity for power series kernels in higher dimensions0
Group classification and constructing conservation laws for time-fractional Sawada–Kotera–Parker–Dye equation0
Some existence results for a fractional problem involving Hardy potential and variable exponent singular term0
Pseudo-differential operators associated with a pair of quadratic-phase Hankel transformations0
Application of Bargmann transform in the study of affine heat kernel transform0
Toeplitz operators and composition operators on the q-Bergman space0
Linear and nonlinear pseudo-differential operators on p-adic fields0
Restriction theorem for the Fourier–Dunkl transform I: cone surface0
Heisenberg uncertainty principle for Gabor transform on compact extensions of $$\mathbb {R}^n$$0
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity0
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback0
Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator0
Frame multiresolution analysis on $${\mathbb {Q}}_p$$0
Representation of frames as regular k-distance sets0
0.3507239818573