학술저널
INTEGRAL TRANSFORMS OF FUNCTIONALS ON A FUNCTION SPACE OF TWO VARIABLES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 2
-
2010.06349 - 362 (14 pages)
- 2
We establish the various relationships among the inte-gral transform F？？;¯F, the convolution product (F ¤ G)？？ and the ¯rst variation ±F for a class of functionals de¯ned on K(Q), the space of complex-valued continuous functions on Q = [0; S]£[0; T] which satisfy x(s; 0) = x(0; t) = 0 for all (s; t) 2 Q. And also we ob-tain Parseval s and Plancherel s relations for the integral transform of some functionals de¯ned on K(Q).
1. Introduction and de¯nitions
2. Integral transform, convolution product and ¯rst varia-tion of functionals in E¾(Q)
3. Further results
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