Integral Transforms of Functionals in L
2(C
a,b
[0,T]) |
| |
| Authors: | Seung Jun Chang Hyun Soo Chung David Skoug |
| |
| Institution: | 1. Department of Mathematics, Dankook University, Cheonan, 330-714, South Korea
2. Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0130, USA
|
| |
| Abstract: | In this paper we use generalized Fourier-Hermite functionals to obtain a complete orthonormal set in L
2(C
a,b
0,T]) where C
a,b
0,T] is a very general function space. We then proceed to give a necessary and sufficient condition that a functional F in L
2(C
a,b
0,T]) has an integral transform ℱ
γ,β
F also belonging to L
2(C
a,b
0,T]). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
