Tempered generalized functions and Hermite expansions

DOI10.1016/j.na.2010.09.003zbMath1226.46039arXiv1006.5862OpenAlexW2963750829MaRDI QIDQ608402

Christian Olivera, Pedro José Catuogno

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5862

zbMATH Keywords

Fourier transformHermite functionsIto formulaColombeau algebrasGeneralized function algebras

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (6)

Renormalized-generalized solutions for the KPZ equation ⋮ Generalized functions and Laguerre expansions ⋮ Time-dependent tempered generalized functions and Itô’s formula ⋮ Strong solution of the stochastic Burgers equation ⋮ Full and Special Colombeau Algebras ⋮ STOCHASTIC INTEGRATION WITH RESPECT TO THE CYLINDRICAL WIENER PROCESS VIA REGULARIZATION

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