RELATIONS AMONG THE FIRST VARIATION, THE CONVOLUTIONS AND THE GENERALIZED FOURIER-GAUSS TRANSFORMS

DOI10.4134/BKMS.2011.48.2.291zbMath1227.44003OpenAlexW2075412526MaRDI QIDQ3169234

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Publication date: 28 April 2011

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402835

zbMATH Keywords

convolutionabstract Wiener spacefirst variationgeneralized Fourier-Gauss transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (8)

Factorization property of convolutions of white noise operators ⋮ Generalized Cameron–Storvick theorem and its applications ⋮ New expressions of the modified generalized integral transform via the translation theorem with applications ⋮ Generalized convolution product for an integral transform on a Wiener space ⋮ Unnamed Item ⋮ A recurrence formula with respect to the Cameron–Storvick type theorem of the 𝒯-transform ⋮ Fundamental formulas for modified generalized integral transforms ⋮ Double integral transforms and double convolution products of functionals on abstract Wiener space

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