Wavelets and the complete invariance property

Authors

  • Rajeshwari Dubey Rajeshwari Dubey, Department of Mathematics, University of Allahabad, Allahabad-211 002, India Author
  • Aparna Vyas Department of Mathematics, University of Allahabad, Allahabad-211 002, India Author

Keywords:

Wavelets, MSF Wavelets, MRA Wavelets, CIP, CIPH, dimension function

Subjects:

42C15, 42C40, 54H25

Abstract

In this paper, we obtain that the space $\Cal{W}$of orthonormal wavelets enjoys the complete invariance propertywith respect to homeomorphisms. Further, it is obtained that thecylinder, the cone and the suspension of $\Cal{W}$ possess thecomplete invariance property. Certain subspaces of $\Cal{W}$ arealso considered in this connection.

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Published

2010-04-15

Issue

Vol. 62 No. 2 (2010): Vol. 62, Issue 2

Section

Articles

License

Copyright (c) 2010 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.