Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc.

Published online May 4, 2022

Copyright © The Korean Mathematical Society.

Basic formulas for the double integral transform of functionals on abstract Wiener space

Hyun Soo Chung

Dankook University

Abstract

In this paper, we establish several basic formulas among the double-integral transforms, the double-convolution products, and the inverse double-integral transforms of cylinder functionals on abstract Wiener space. We then discuss possible relationships involving the double-integral transform.

Keywords: Double integral transform, double convolution product, inverse double integral transform, Abstract Wiener space

MSC numbers: Primary 60J65, 28C20, 44A15, 46C07

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