Abstract and Applied Analysis
Volume 7 (2002), Issue 3, Pages 135-142
doi:10.1155/S1085337502000775

The integral wavelet transform in weighted Sobolev spaces

Nguyen Minh Chuong1 and Ta Ngoc Tri2

1Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi 10 000, Vietnam
2University of Pedagogy Hanoi II, Me Linh, Vinh Phu, Vietnam

Abstract

The integral wavelet transform is defined in weighted Sobolev spaces, in which some properties of the transform as well as its asymptotical behaviour for small dilation parameter are studied.