Hermite expansions and products of tempered distributions

DOI10.1080/10652460601041169zbMath1124.46021OpenAlexW1997304878MaRDI QIDQ3438825

Christian Olivera, Sandra Monica Molina, Pedro José Catuogno

Publication date: 29 May 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460601041169

zbMATH Keywords

tempered distributionHermite expansionHermite functionsproduct of distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (9)

Renormalized-generalized solutions for the KPZ equation ⋮ Generalized functions and Laguerre expansions ⋮ Tempered generalized functions and Hermite expansions ⋮ On the neutral Hermite product of the distributionsx^±nand δ^(m)(x) ⋮ ON STOCHASTIC GENERALIZED FUNCTIONS ⋮ Strong solution of the stochastic Burgers equation ⋮ Hermite expansions of \(C_0\)-groups and cosine functions ⋮ Chaos expansions: applications to a generalized eigenvalue problem for the Malliavin derivative ⋮ STOCHASTIC INTEGRATION WITH RESPECT TO THE CYLINDRICAL WIENER PROCESS VIA REGULARIZATION

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