Integral Transforms of Square Integrable Functionals on Yeh-Wiener Space

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 1,  2009, pp.155-166
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.1.155
Title & Authors
Integral Transforms of Square Integrable Functionals on Yeh-Wiener Space
Kim, Byoung-Soo;

Abstract
We give a necessary and sufficient condition that a square integrable functional F(x) on Yeh-Wiener space has an integral transform $\small{\hat{F}_{{\alpha},{\beta}}F(x)}$ which is also square integrable. This extends the result by Kim and Skoug for functional F(x) in $\small{L_2(C_0[0,T])}$.
Keywords
Yeh-Wiener integral;integral transform;Fourier-Wiener transform;Fourier-Hermite functional;
Language
English
Cited by
1.
RELATIONSHIPS AMONG FOURIER-YEH-FEYNMAN TRANSFORM, CONVOLUTION AND THE FIRST VARIATION ON YEH-WIENER SPACE,Kim, Bong-Jin;Kim, Byoung-Soo;

호남수학학술지, 2011. vol.33. 2, pp.207-221
1.
RELATIONSHIPS AMONG FOURIER-YEH-FEYNMAN TRANSFORM, CONVOLUTION AND THE FIRST VARIATION ON YEH-WIENER SPACE, Honam Mathematical Journal, 2011, 33, 2, 207
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