Gabor-like systems in ${cal L}^2({bf R}^d)$ and extensions towavelets

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Abstract

In this paper we show how to construct a certain class of orthonormal bases in starting from one or more Gabor orthonormal bases in . Each such basis can be obtained acting on a single function with a set of unitary operators which operate as translation and modulation operators in suitable variables. The same procedure is also extended to frames and wavelets. Many examples are discussed.
Lingua originaleEnglish
pagine (da-a)335208-1-335208-15
Numero di pagine15
RivistaJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume41
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.3100.3109???
  • ???subjectarea.asjc.2600.2613???
  • ???subjectarea.asjc.2600.2611???
  • ???subjectarea.asjc.2600.2610???
  • ???subjectarea.asjc.3100.3100???

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