MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Wavelets and the complete invariance property
Rajeshwari Dubey and Aparna Vyas

Abstract

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

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Keywords: Wavelets; MSF Wavelets; MRA Wavelets; CIP; CIPH; dimension function.

MSC: 42C15, 42C40, 54H25

Pages:  183--188     

Volume  62 ,  Issue  2 ,  2010