Complete Invariance Property with respect to Homeomorphism over Frame Multiwavelet and Super-Wavelet Spaces

Maury, Saurabh Chandra

doi:10.1155/2014/528342

Journal of Mathematics

2014

DOI: 10.1155/2014/528342

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Complete Invariance Property with respect to Homeomorphism over Frame Multiwavelet and Super-Wavelet Spaces

Saurabh Chandra Maury

Abstract: We discuss the complete invariance property with respect to homeomorphism (CIPH) over various sets of wavelets containing all orthonormal multiwavelets, all tight frame multiwavelets, all super-wavelets of lengthn, and all normalized tight super frame wavelets of lengthn.

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The ε-approximated complete invariance property

García

2022

Appl. Gen. Topol.

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In the present paper we introduce a generalization of the complete invariance property (CIP) for metric spaces, which we will call the ε-approximated complete invariance property (ε-ACIP). For our goals, we will use the so called degree of nondensifiability (DND) which, roughly speaking, measures (in the specified sense) the distance from a bounded metric space to its class of Peano continua. Our main result relates the ε-ACIP with the DND and, in particular, proves that a densifiable metric space has the ε-ACIP for each ε>0. Also, some essentials differences between the CIP and the ε-ACIP are shown.

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The ε-approximated complete invariance property

García

2022

Appl. Gen. Topol.

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Complete Invariance Property with respect to Homeomorphism over Frame Multiwavelet and Super-Wavelet Spaces

Abstract: We discuss the complete invariance property with respect to homeomorphism (CIPH) over various sets of wavelets containing all orthonormal multiwavelets, all tight frame multiwavelets, all super-wavelets of lengthn, and all normalized tight super frame wavelets of lengthn.

Cited by 1 publication

References 9 publications

The ε-approximated complete invariance property

The ε-approximated complete invariance property

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