On the Lévy-Raikov-Marcinkiewicz theorem
| dc.citation.epage | 240 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 237 | en_US |
| dc.citation.volumeNumber | 336 | en_US |
| dc.contributor.author | Ostrovskii, I. | en_US |
| dc.contributor.author | Ulanovskii, A. | en_US |
| dc.date.accessioned | 2016-02-08T10:30:44Z | |
| dc.date.available | 2016-02-08T10:30:44Z | |
| dc.date.issued | 2003 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let μ be a finite nonnegative Borel measure. The classical Lévy-Raikov-Marcinkiewicz theorem states that if its Fourier transform ̂m can be analytically continued to some complex half-neighborhood of the origin containing an interval (0, iR) then ̂m admits analytic continuation into the strip {t: 0 < st < R}. We extend this result to general classes of measures and distributions, assuming non-negativity only on some ray and allowing temperate growth on the whole line. © 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:30:44Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2003 | en |
| dc.identifier.doi | 10.1016/S1631-073X(03)00035-9 | en_US |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.uri | http://hdl.handle.net/11693/24532 | |
| dc.language.iso | English | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/S1631-073X(03)00035-9 | en_US |
| dc.source.title | Comptes Rendus Mathematique | en_US |
| dc.title | On the Lévy-Raikov-Marcinkiewicz theorem | en_US |
| dc.title.alternative | Sur le théorème de Lévy-Raikov-Marcinkiewicz | en_US |
| dc.type | Article | en_US |
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