Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2022; 59(5): 1131-1144

Online first article May 4, 2022      Printed September 30, 2022

https://doi.org/10.4134/BKMS.b210634

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