scientific article

zbMath0456.46033MaRDI QIDQ3905937

Vasily S. Vladimirov

Publication date: 1981

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

zbMATH Keywords

integral transformsconvolutionCauchy problemtensor productstempered distributionspartial differential equationsdifferentiationsupportpassive systemsPaley-Wiener-Schwartz theoremsFourier and Laplace transformsMalgrange-Ehrenpreis theoremCauchy and Poisson kernelsexistence of elementary solutionsFourier series for periodic distributionsCauchy-Bochner and Hilbert transformselliptic, hypoelliptic and hyperbolic operatorsprojective and inductive limit topologies

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)

Related Items (8)

\(L^ p\) estimates for the Cauchy transforms of distributions with respect to convex cones ⋮ Bi-coherent states as generalized eigenstates of the position and the momentum operators ⋮ Weak pseudo-bosons ⋮ Coordinate representation for non-Hermitian position and momentum operators ⋮ Quasi *-algebras and multiplication of distributions ⋮ Some perturbation results for quasi-bases and other sequences of vectors ⋮ Multiplication of distributions in a linear gain and loss system ⋮ Multivariate interpolation and standard bases for Macaulay modules

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