Journal of Pseudo-Differential Operators and Applications

Papers
(The median citation count of Journal of Pseudo-Differential Operators and Applications is 1. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
Frame wavelet set and frequency frame wavelet in $$L^2({\mathbb {R}}^n)$$20
Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities15
Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds14
Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time14
Anisotropic Fractional Leibniz Rule12
Weighted composition operator on Gamma spaces with variable exponent12
Lorentz Herz-Morrey spaces with applications12
Hartley-Bessel transform for integrable Boehmians11
Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg’s uncertainty principles11
Weak solvability and well-posedness of some fractional parabolic problems with vanishing initial datum11
Moduli of smoothness and generalized canonical Fourier–Bessel diffrential operator on the half-line11
Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces10
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces10
On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity9
Jacobi-dunkl operator: wigner transform and toeplitz operators8
$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces8
Phase retrieval and norm retrieval in tensor product space7
Multilinear pseudo-differential operators with critical forbidden amplitudes on local Hardy spaces7
Bilinear multipliers on Orlicz spaces on locally compact groups7
Properties and applications of quaternion quadratic phase Fourier transforms7
Fractional non-isotropic n-dimensional modified Stockwell transform: properties and inequalities7
The heat semigroups and uncertainty principles related to canonical Fourier–Bessel transform6
Commutators of bilinear $$\theta $$-type Calderón–Zygmund operators on two weighted Herz spaces with variable exponents6
Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator6
Estimates for a certain bilinear Fourier integral operator6
Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups6
Complex FIOs and composition of Toeplitz operators6
Novel scaling Wigner distribution in the linear canonical domain6
Oblique dual and g-dual frames in separable quaternionic Hilbert spaces6
Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$6
Toeplitz operators for the Gabor spherical mean transform6
Positivity results for Weyl’s pseudo-differential calculus on the Wiener space5
Monotonicity and symmetry of solutions to fractional p-laplacian systems5
Normal extensions for degenerate conformable fractional $$\alpha $$-order differential operator5
Representations of frames via iterative actions of operators in tensor product spaces5
Weighted estimates for pseudo-differential operators with weak regular symbols and their commutators5
Wave front sets of Riesz type on Minkowski space5
Formation of Turing patterns in the Schnakenberg system over the p-adic integers5
A note on a generalized singular capillarity system with $$\Im $$-Hilfer fractional derivative4
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals4
Equivalence relations and distances between generalized frames4
Heisenberg uncertainty principle for Gabor transform on compact extensions of $$\mathbb {R}^n$$4
Ultradistributions on $$ {\mathbb {R}}_{+}^{n}$$ and solvability and hypoellipticity through series expansions of ultradistributions4
Morse’s theory and local linking for a fractional $$(p_{1}(\textrm{x}.,), p_{2}(\textrm{x}.,))$$: Laplacian problems on compact manifolds4
Kirchhoff type mixed local and nonlocal elliptic problems with concave–convex and Choquard nonlinearities4
Fractional Hankel transform in Colombeau algebra4
Toeplitz operators and composition operators on the q-Bergman space4
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces4
Aspect of invariant properties of Orlicz amalgam spaces with respect to Banach spaces4
$${\mathcal {L}}$$-invariant and radial singular integral operators on the Fock space4
Optimal $$L^{2}$$-growth of the generalized Rosenau equation4
The general Dabrowski–Sitarz–Zalecki type theorem for odd dimensional manifolds with boundary III4
Product local Hardy spaces associated with ball quasi-Banach function spaces4
A discrete algorithm for general weakly hyperbolic systems4
Representation of frames as regular k-distance sets4
Growth properties of Hartley transform via moduli of continuity3
On a kind of integro-differential elliptic problems via young measures approach3
Integrability problems and Boas type results for Hartley-Bessel transforms3
Three solutions for a fractional p-Laplacian problem3
Uncertainty principles for the multidimensional quadratic-phase Fourier transform3
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications3
An $$n-$$dimensional pseudo-differential operator involving quadratic phase Fourier transform and applications in quantum mechanics3
Modified scattering for the higher-order KdV–BBM equations3
Strong and weak estimates of a class of bilinear fiber-wise pseudo-differential operators3
Sharp Pitt’s inequality and Beckner’s logarithmic uncertainty principle for the Weinstein transform3
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds3
Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary3
Existence results for nonnegative solutions of weighted quasilinear systems including subcritical and critical growths3
A stability result of a Timoshenko beam system with a delay term in the internal fractional feedback3
Fractional Hankel wavelet transform on the Schwartz type space3
Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs3
The localization operator and wavelet multipliers involving the Watson transform3
Time-frequency analysis associated with multidimensional Hankel-Gabor transform3
Properties of bounded representations for G-frames3
Solvability of fractional integral equations via Darbo’s fixed point theorem3
The pseudo-differential perturbations of the Dirac operator and the Kastler-Kalau-Walze type theorems3
Uncertainty principles for the biquaternion offset linear canonical transform3
Boundary value problem with tempered fractional derivatives and oscillating term3
Generalised Hardy type and Rellich type inequalities on the Heisenberg group3
Weighted norm inequalities related to fractional Schrödinger operators2
Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity2
Gelfand-Shilov boundedness of the gyrator wavelet transform2
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction2
The fractional logarithmic Schrödinger operator: properties and functional spaces2
Schatten-von Neumann classes of tensors of invariant operators2
Truncation quantization in the edge calculus2
Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform2
On a novel fractional Caputo-derivative Orlicz space2
Localization operators related to Stockwell transforms on locally compact abelian groups2
A simple criterion for essential self-adjointness of Weyl pseudodifferential operators2
The Hartley–Bessel function: product formula and convolution structure2
Mellin integral transforms and generalized Lipschitz and Zygmund spaces2
$$\tau $$-quantization and $$\tau $$-Cohen classes distributions of Feichtinger operators2
A Dyson-type series solution to some time-dependent Schrödinger equations on finite adeles2
Propagation of anisotropic Gelfand–Shilov wave front sets2
On $$L^2$$ boundedness of rough Fourier integral operators2
On a singular $$p(x,\mathbin {\cdot })$$-integro-differential elliptic problem2
The Wigner global wave front set in spaces of tempered ultradistributions2
Extended Sobolev scale on $$\mathbb {Z}^n$$2
Quadratic-phase wavelet scalogram2
On g-frame representations via linear operators2
Solvability of a generalized two dimensional nonlinear fractional integral equation2
On fractional (p, q)-Laplacian equations involving subcritical or critical Hardy exponents2
On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic $$\alpha $$-stable stochastic process2
On the boundedness of rough bi-parameter Fourier integral operators2
Continuity properties of multi-parameter pseudodifferential operators via calculus of symbols2
On higher-order generalized exponential kernel fractional derivatives: Application to a fractional Helmholtz-Duffing equation2
Radial solutions of a pseudo-differential equations associated with a p-adic non-local ultradiffusion operator2
Correction to: A simple proof of Kotake–Narasimhan theorem in some classes of ultradifferentiable functions2
Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients2
Estimates for the Berezin number inequalities2
Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions2
Discrete Quaternionic (Multi-window) Gabor Systems2
Pseudo-differential operators associated with a pair of quadratic-phase Hankel transformations2
Pseudo-differential operators associated with the coupled fractional Fourier transform and its application2
Generalized Pizzetti’s formula for Weinstein operator and its applications2
Mixed local and nonlocal equation with singular nonlinearity having variable exponent2
Modular convergence of semi-discrete neural network operators in Orlicz space1
Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$1
A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group1
Calculus of k-fractional derivative with respect to monotonic functions1
Localization operators for the windowed Kontorovich Lebedev transform1
Linear canonical Dunkl Wigner transformation: theory and localization operators1
On a class of Kirchhoff problem involving a generalized $$\psi $$-Hilfer derivative with logarithmic nonlinearity1
A Poincaré determinant on the torus1
Restriction theorem for the Fourier–Dunkl transform I: cone surface1
Quasinormable Fréchet spaces and M. W. Wong’s inequality1
Linear and nonlinear pseudo-differential operators on p-adic fields1
Weighted boundedness of variation operators for fractional heat semigroups related to the Schrödinger operator1
$$L^p$$-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform1
Renormalization and pseudodifferential operators1
Chracterization of generalized Campanato spaces with variable exponents via fractional integrals1
Wave packet frames in linear canonical domains: construction and perturbation1
Phase space Feynman path integrals of parabolic type on the torus as analysis on path space1
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators1
A new approach to neural networks using pseudo-differential operators1
Continuity properties of multi-parameter pseudodifferential operators on Bony class1
Index Whittaker transforms over Lebesgue spaces1
Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$1
Time-frequency concentration and localization operators associated with the directional short-time fourier transform1
Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect1
$$L^{\infty }$$-BMO boundedness of some pseudo-differential operators1
Windowed linear canonical transform and its applications to the time-frequency analysis1
Subspace dual and orthogonal frames by action of an abelian group1
Unique continuation for fractional p-elliptic equations1
Global hypoellipticity of G-invariant operators on homogeneous vector bundles1
A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations1
Symmetrically global pseudo-differential operators involving the Weinstein transform1
Localization operators in the framework of the linear canonical Jacobi wavelet transform1
Matrix-Wigner global wave front sets in ultradifferentiable classes1
Berezin number and Berezin norm inequalities via Moore-Penrose inverse1
Schrödinger equations with limited smoothness1
Boas-type theorems for Laguerre type operator1
Fusion frames for operators and atomic systems1
A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise1
Pseudodifferential operators with completely periodic symbols1
Wiener amalgam spaces with respect to orlicz spaces on the affine group1
Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions1
Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations1
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