Orthonormal series expansions of certain distributions and distributional transform calculus

DOI10.1016/0022-247X(66)90026-6zbMath0138.37804MaRDI QIDQ2522040

Armen H. Zemanian

Publication date: 1966

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (14)

An application of the wiener functions to the dieichlet problem of the laplace equation ⋮ Linear passive systems ⋮ Orthogonal series representations for generalized functions ⋮ Some distribution solutions of integral equations and their application to partial differential equations ⋮ Eigenfunction expansion of generalized functions ⋮ Finite tchebycheff transformations of generalized functions ⋮ Orthonormal series expansions of certain distributions and distributional transform calculus ⋮ Laguerre expansions of tempered distributions and generalized functions ⋮ On Zemanian's distributional eigenfunction transforms ⋮ A note concerning passive linear systems ⋮ Eigenfunction wavelet transform ⋮ The finite Legendre transformation of generalized functions ⋮ Approximation operators on Banach spaces of distributions ⋮ Unnamed Item

Cites Work

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• Orthonormal series expansions of certain distributions and distributional transform calculus
• Laguerre transforms
• Pansions and the Theory of Fourier Transforms
• The Laguerre Transform
• Expansions of Distributions
• On the Expansion of Certain Generalized Functions in Series of Orthogonal Functions
• JACOBI TRANSFORMS
• Inverse Transforms of Products of Legendre Transforms
• The Operational Calculus of Legendre Transforms
• The theory of generalized functions

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