INTEGRAL TRANSFORMS OF FUNCTIONALS ON A FUNCTION SPACE OF TWO VARIABLES

• 발행기관: 충청수학회
• 저자명: Bong Jin Kim Byoung Soo Kim Il Yoo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 2, 349~362쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.06.30

영문 초록

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).

목차

1. Introduction and de¯nitions

2. Integral transform, convolution product and ¯rst varia-tion of functionals in E¾(Q)

3. Further results

References