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

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

We first study the generalized Fourier-Gauss transforms of functionals defined on the complexification B_C of an abstract Wiener space (H, B, v). Secondly, we introduce a new class of convolution products of functionals defined on B_C and study several properties of the convolutions. Then we study v...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2011, 48(2), , pp.291-302
Hauptverfasser: Im, Man-Kyu, Ji, Un-Cig, Park, Yoon-Jung
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:We first study the generalized Fourier-Gauss transforms of functionals defined on the complexification B_C of an abstract Wiener space (H, B, v). Secondly, we introduce a new class of convolution products of functionals defined on B_C and study several properties of the convolutions. Then we study various relations among the first variation, the convolutions, and the generalized Fourier--Gauss transforms. KCI Citation Count: 17
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2011.48.2.291