Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-05-16T09:53:48.232Z Has data issue: false hasContentIssue false
  • English
  • Français

The wavelet transform on spaces of type S

Published online by Cambridge University Press:  12 July 2007

R. S. Pathak  and
S. K. Singh
R. S. Pathak
Affiliation:
Department of Mathematics, Banaras Hindu University, Varanasi 221 005, Indiaramshankarpathak@yahoo.co.in
S. K. Singh
Affiliation:
Department of Mathematics, Banaras Hindu University, Varanasi 221 005, Indiasks_math@yahoo.com
Get access Rights & Permissions [Opens in a new window]

Abstract

The continuous wavelet transform is studied on certain Gel'fand–Shilov spaces of type S. It is shown that, for wavelets belonging to the one type of S-space defined on R, the wavelet transform is a continuous linear map of the other type of the S-space into a space of the same type (latter type) defined on R × R+. The wavelet transforms of certain ultradifferentiable functions are also investigated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 4 , August 2006 , pp. 837 - 850
Copyright
Copyright © Royal Society of Edinburgh 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)