A note on wavelets and S-asymptotics

Authors

  • Arpad Takači Institute of Mathematics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia Author
  • Nenad Teofanov Institute of Mathematics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia Author

Keywords:

Integral wavelet transform, generalized functions, Abelian type theorems, Tauberian type theorems

Subjects:

42C05

Abstract

The aim of this paper is to analyze the asymptotic behavior at infinity of the integral wavelet transform of somewhat more general elements than $L^2$ functions, namely generalized functions from the space of exponential distributions ${\Cal K}_1'$. We prove both an Abelian and a Tauberian type theorem at infinity for the integral wavelet transform.

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Published

1997-10-15

Issue

Vol. 49 No. 3–4 (1997): Vol. 49, Issue 3–4

Section

Articles

License

Copyright (c) 1997 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.