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Wavelet transforms in generalized Fock spaces

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  • John Schmeelk
  • Arpad Takaci

Abstract

A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and TakaÄ i [6-8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by Mikusinski and Mort [9] based upon earlier work of Mikusinski and Taylor [10]. It is then shown that the generalized wavelet transform applied to a member of our generalized Fock space produces a more appropriate functional for certain appfications.

Suggested Citation

  • John Schmeelk & Arpad Takaci, 1997. "Wavelet transforms in generalized Fock spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:826196
    DOI: 10.1155/S0161171297000914
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    Cited by:

    1. Felipe A. Apolonio & Daniel H. T. Franco & Fábio N. Fagundes, 2012. "A Note on Directional Wavelet Transform: Distributional Boundary Values and Analytic Wavefront Sets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, July.

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