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 Wof orthonormal wavelets enjoys the complete invariance propertywith respect to homeomorphisms. Further, it is obtained that thecylinder, the cone and the suspension of W possess thecomplete invariance property. Certain subspaces of 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.