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Relations among the first variation, the convolutions and the generalized Fourier-Gauss transforms

박윤정|임만규|지운식
대한수학회 (The Korean Mathematical Society)|2011.03|대한수학회보 (Bulletin of the KMS)|제48권 제2호|pp. 291-302

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참고문헌

키워드

convolutionfirst variationabstract Wiener spacegeneralized Fourier-Gauss transform
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초록

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.

Abstract

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.

참고문헌 (18)

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