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Erschienen in:
Simple Proofs of Some Bernstein–Mordell Type Inequalities Kapitel lesen Erstes Kapitel lesen

2014 | OriginalPaper | Buchkapitel

Hyperbolic Wavelets

verfasst von : F. Schipp

Erschienen in: Topics in Mathematical Analysis and Applications

Verlag: Springer International Publishing

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Abstract

In the last two decades a number of different types of wavelets transforms have been introduced in various areas of mathematics, natural sciences, and technology. These transforms can be generated by means of a uniform principle based on the machinery of harmonic analysis. In this way we pass from the affine group to the wavelet transforms, from the Heisenberg group to the Gábor transform. Taking the congruences of the hyperbolic geometry and using the same method we introduced the concept of hyperbolic wavelet transforms (HWT). These congruences can be expressed by Blaschke functions, which play an eminent role not only in complex analysis but also in control theory. Therefore we hope that the HWT will become an adequate tool in signal and system theories. In this paper we give an overview on some results and applications concerning HWT.

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Vorheriges Kapitel A Class of Functional-Integral Equations with Applications to a Bilocal Problem
Nächstes Kapitel One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann’s Zeta-Function
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Metadaten
Titel
Hyperbolic Wavelets
verfasst von
F. Schipp
Copyright-Jahr
2014
Buch
Topics in Mathematical Analysis and Applications

Print ISBN: 978-3-319-06553-3

Electronic ISBN: 978-3-319-06554-0

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-06554-0_29

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