Orthogonal series representations for generalized functions

DOI10.1016/0022-247X(88)90308-3zbMath0647.46037MaRDI QIDQ1104516

Ram Shankar Pathak

Publication date: 1988

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

zbMATH Keywords

expansion of certain Schwartz distributions with respect to series of orthonormal families of functions in weighted \(L^ p\) spacesexpansions into series of orthogonal polynomials

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items (6)

On distributional finite continuous Radon transform in certain spaces ⋮ Eigenfunction expansions for generalized functions of several variables ⋮ A theory of summability on a space of generalized functions ⋮ Spectral theory and functional calculus for operators on spaces of generalized functions ⋮ Laguerre expansions of tempered distributions and generalized functions ⋮ The finite Legendre transformation of generalized functions

Cites Work

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• Finite Hankel transforms of distributions
• On finite Hankel transformation of generalized functions
• Orthonormal series expansions of certain distributions and distributional transform calculus
• On Zemanian's distributional eigenfunction transforms
• Eigenfunction expansion of generalized functions
• Summability of the Laguerre Polynomial Expansion of Generalized Functions
• The Mean Convergence of Orthogonal Series. II
• The Mean Convergence of Orthogonal Series. I
• The Mean Convergence of Orthogonal Series
• The Mean Convergence of Orthogonal Series of Polynomials

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