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 L2 functions, namely generalized functions from the space of exponential distributions K1′. 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.