On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support

M. Belhadj; Jorge J. Betancor

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 2, page 315-336
  • ISSN: 0011-4642

Abstract

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In this paper we study Beurling type distributions in the Hankel setting. We consider the space ℰ ( w ) ' of Beurling type distributions on ( 0 , ∞ ) having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ℰ ( w ) ' . We also establish Paley Wiener type theorems for Hankel transformations of distributions in ℰ ( w ) ' .

How to cite

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Belhadj, M., and Betancor, Jorge J.. "On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support." Czechoslovak Mathematical Journal 54.2 (2004): 315-336. <http://eudml.org/doc/30862>.

@article{Belhadj2004,
abstract = {In this paper we study Beurling type distributions in the Hankel setting. We consider the space $\{\mathcal \{E\}\}(w)^\{\prime \}$ of Beurling type distributions on $(0, \infty )$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space $\{\mathcal \{E\}\}(w)^\{\prime \}$. We also establish Paley Wiener type theorems for Hankel transformations of distributions in $\{\mathcal \{E\}\}(w)^\{\prime \}$.},
author = {Belhadj, M., Betancor, Jorge J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Beurling distributions; Hankel transformation; convolution; Beurling distributions; Hankel transform; convolution},
language = {eng},
number = {2},
pages = {315-336},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support},
url = {http://eudml.org/doc/30862},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Belhadj, M.
AU - Betancor, Jorge J.
TI - On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 315
EP - 336
AB - In this paper we study Beurling type distributions in the Hankel setting. We consider the space ${\mathcal {E}}(w)^{\prime }$ of Beurling type distributions on $(0, \infty )$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ${\mathcal {E}}(w)^{\prime }$. We also establish Paley Wiener type theorems for Hankel transformations of distributions in ${\mathcal {E}}(w)^{\prime }$.
LA - eng
KW - Beurling distributions; Hankel transformation; convolution; Beurling distributions; Hankel transform; convolution
UR - http://eudml.org/doc/30862
ER -

References

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