Beurling distributions and Hankel transforms (Q2785224)
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scientific article; zbMATH DE number 1733419
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Beurling distributions and Hankel transforms |
scientific article; zbMATH DE number 1733419 |
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24 April 2002
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Beurling-type distributions
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Hankel transformations
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0.92497814
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0.91285723
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0.90967953
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0.90733355
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0.9069782
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0.9045358
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Beurling distributions and Hankel transforms (English)
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\textit{A. Beurling} [Quasi-Analyticity and General Distributions, lectures 4 and 5, AMS Summer Institute, Stanford, (1961)] developed the foundation for a certain general theory of distributions. Later \textit{G. Björck} [Ark. Mat. 6, 351-407 (1966; Zbl 0166.36501)] extended Beurling's results. In this paper the authors study Beurling-type distributions involing Hankel transformations. They maintain that the distributional theories associated with Hankel transforms in [\textit{A. H. Zemanian}, SIAM J. Appl. Math. 14, 678-690 (1966; Zbl 0154.13804)] and [\textit{G. Altenburg}, Math. Nachr. 108, 197-218 (1982; Zbl 0528.46035)] can be shown as special limit cases of their theory.
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