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.
Original languageEnglish
Pages (from-to)335208-1-335208-15
Number of pages15
JournalJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume41
Publication statusPublished - 2008

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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