scientific article

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Fourier transform Laplace transform convolution Fourier series tempered distributions ultradistributions periodic distribution linear differential and difference equations

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Laplace transform (44A10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)

Related Items (98)

Singular invariant probability densities in dissipative dynamical systems ⋮ Renormalization group and the emergence of random fractal topology in quantum field theory ⋮ The aczel—chung equation in distributions ⋮ Error-probability noise benefits in threshold neural signal detection ⋮ Features of Moyal trajectories ⋮ Continuous-time fractional ARMA processes ⋮ Reflected spectrally negative stable processes and their governing equations ⋮ DEFORMATION QUANTIZATION OF CONFINED SYSTEMS ⋮ Anti-periodic solutions of Liénard equations with state dependent impulses ⋮ Time-Frequency Characterization of Stochastic Differential Equations ⋮ New approach for describing transient pressure response generated by horizontal wells of arbitrary geometry ⋮ A simple approach to the particular solution of constant coefficient ordinary differential equations ⋮ The Laplace transform on a class of Boehmians ⋮ Convolution Product and Differential and Integro: Differential Equations ⋮ Microlocal approach towards construction of nonreflecting boundary conditions ⋮ Properties and numerical evaluation of the Rosenblatt distribution ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ Probability calculus of fractional order and fractional Taylor's series application to Fokker-Planck equation and information of non-random functions ⋮ Unified treatment of the Krätzel transformation for generalized functions ⋮ Splines and fractional differential operators ⋮ On the Hilbert transform of bounded bandlimited signals ⋮ On the fractional signals and systems ⋮ Estimation of the generalized Bessel-Struve transform in a space of generalized functions ⋮ On higher-order boundary value problems by using differential transformation method with convolution terms ⋮ On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: distributional approach and regularization, with application to nonuniformly moving sources ⋮ Sum rules and physical bounds on passive metamaterials ⋮ Discretized Energy Minimization in a Wave Guuide with point Sources ⋮ Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ Fourier series with the continuous primitive integral ⋮ On the space of periodic distributions with multi-dimensional wavelet packet transform ⋮ Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces ⋮ An approximation method to model multivariate interpolation problems: indexing HDMR ⋮ Fractional calculus via Laplace transform and its application in relaxation processes ⋮ On the properties of some operators under the perspective of fractional system theory ⋮ Infinite boundary elements in 2D elasticity ⋮ Multi-level fast multipole solution of the scattering problem. ⋮ Disjointness preserving and functional type disjointness preserving operators ⋮ Identities for the fundamental solution of thin plate bending problems and the nonuniqueness of the hypersingular BIE solution for multi-connected domains ⋮ A new approach for data partitioning through high dimensional model representation ⋮ On modifications of the gamma function by using Mittag-Leffler function ⋮ Singular behavior of the solution to the stochastic heat equation on a polygonal domain ⋮ Shift-invariant spaces from rotation-covariant functions ⋮ A generalized Peano kernel theorem for distributions of exponential decay ⋮ Scaling functions generating fractional Hilbert transforms of a wavelet function ⋮ Hidden Quantum Processes, Quantum Ion Channels, and 1/f^θ-Type Noise ⋮ The Watson Fourier transform on a certain class of generalized functions ⋮ The Talbot effect as the fundamental solution to the free Schrödinger equation ⋮ Global behavior of integral transforms ⋮ Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions ⋮ From heat equations to wave equations: More on transmutation operators ⋮ Periodic tempered distributions of Beurling type and periodic ultradifferentiable functions with arbitrary support ⋮ On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes. ⋮ A matrix based indexing HDMR method for multivariate data modelling ⋮ An intuitive discussion on the ideal ramp filter in computed tomography. I ⋮ Degree formulae for offset curves ⋮ On the concept of point value in the infinite-dimensional realization theory ⋮ Periodic van der Pol equation with state dependent impulses ⋮ Multiplicative cascades applied to PDEs (two numerical examples) ⋮ On the relation between the fractional Brownian motion and the fractional derivatives ⋮ A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid ⋮ Wigner measures in noncommutative quantum mechanics ⋮ Unified treatment of explicit and trace formulas via Poisson-Newton formula ⋮ Stresses in a semi infinite strip ⋮ A multiplicative product of distributions and a class of ordinary differential equations with distributional coefficients ⋮ Sampling theorems for Doppler-stretched wide-band signals ⋮ An algebraic approach to tempered distributions ⋮ Stochastic gravity: theory and applications ⋮ Study of the convergence in state estimators for LTI systems with event detection ⋮ Stochastic gravity: theory and applications ⋮ Unnamed Item ⋮ A \(k\)-norm pruning algorithm for decision tree classifiers based on error rate estimation ⋮ Inverse problems for regular variation of linear filters, a cancellation property for \(\sigma\)-finite measures and identification of stable laws ⋮ Bound analysis in univariately truncated generalized high dimensional model representation for random-data partitioning: Interval GHDMR ⋮ High order boundary and finite elements for 3D fracture propagation in brittle materials ⋮ MULTIVARIATE PARTIAL DIFFERENTIAL EQUATION DESCRIBING THE EVOLUTION OF A GAUSSIAN PROCESS ⋮ Convolutions with the continuous primitive integral ⋮ A maximum-likelihood estimator with infinite error ⋮ Weak derivative-based expansion of functions: ANOVA and some inequalities ⋮ Surjectivity of Euler type differential operators on spaces of smooth functions ⋮ On the genus of meromorphic functions ⋮ Multiplication of distributions and Dirac formalism of quantum mechanics ⋮ Decomposition of the instantaneous spectrum of a random system ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior ⋮ Hybrid high dimensional model representation (HHDMR) on the partitioned data ⋮ Tempered distributional Fourier sine (cosine) transform ⋮ Weyl–Wigner formulation of noncommutative quantum mechanics ⋮ Critical value calculations for the screening parameter of Hulthen potential ⋮ A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions ⋮ The Boas problem on Hankel transforms ⋮ On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results ⋮ On the Asymptotic Equivalence Between the Radon and the Hough Transforms of Digital Images ⋮ Extending the Stieltjes transform. II ⋮ Complex source point solutions of the Helmholtz equation and the complex delta function: the missing link ⋮ A Time-Frequency Relationship Between the Langevin Equation and the Harmonic Oscillator ⋮ Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type ⋮ Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens ⋮ Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers

This page was built for publication: