Pisot and Salem Numbers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1992
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | the attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had been discovered earlier by A. Thue and then by G. H. Hardy, it was Pisot's result in that paper of 1938 that provided the link to harmonic analysis, as discovered by Raphael Salem and described in a series of papers in the 1940s. In one of these papers, Salem introduced the related class of numbers, now universally known as the Salem numbers. These two sets of algebraic numbers are distinguished by some striking arith metic properties that account for their appearance in many diverse areas of mathematics: harmonic analysis, ergodic theory, dynamical systems and alge braic groups. Until now, the best known and most accessible introduction to these num bers has been the beautiful little monograph of Salem, Algebraic Numbers and Fourier Analysis, first published in 1963. Since the publication of Salem's book, however, there has been much progress in the study of these numbers. Pisot had long expressed the desire to publish an up-to-date account of this work, but his death in 1984 left this task unfulfilled |
| Beschreibung: | 1 Online-Ressource (XIII, 291 p) |
| ISBN: | 9783034886321 9783034897068 |
| DOI: | 10.1007/978-3-0348-8632-1 |
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| 500 | |a the attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had been discovered earlier by A. Thue and then by G. H. Hardy, it was Pisot's result in that paper of 1938 that provided the link to harmonic analysis, as discovered by Raphael Salem and described in a series of papers in the 1940s. In one of these papers, Salem introduced the related class of numbers, now universally known as the Salem numbers. These two sets of algebraic numbers are distinguished by some striking arith metic properties that account for their appearance in many diverse areas of mathematics: harmonic analysis, ergodic theory, dynamical systems and alge braic groups. Until now, the best known and most accessible introduction to these num bers has been the beautiful little monograph of Salem, Algebraic Numbers and Fourier Analysis, first published in 1963. Since the publication of Salem's book, however, there has been much progress in the study of these numbers. Pisot had long expressed the desire to publish an up-to-date account of this work, but his death in 1984 left this task unfulfilled | ||
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Datensatz im Suchindex
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| author | Bertin, M. J. |
| author_facet | Bertin, M. J. |
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| author_sort | Bertin, M. J. |
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| building | Verbundindex |
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| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8632-1 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9783034886321 9783034897068 |
| language | English |
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| spelling | Bertin, M. J. Verfasser aut Pisot and Salem Numbers by M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, J. P. Schreiber Basel Birkhäuser Basel 1992 1 Online-Ressource (XIII, 291 p) txt rdacontent c rdamedia cr rdacarrier the attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had been discovered earlier by A. Thue and then by G. H. Hardy, it was Pisot's result in that paper of 1938 that provided the link to harmonic analysis, as discovered by Raphael Salem and described in a series of papers in the 1940s. In one of these papers, Salem introduced the related class of numbers, now universally known as the Salem numbers. These two sets of algebraic numbers are distinguished by some striking arith metic properties that account for their appearance in many diverse areas of mathematics: harmonic analysis, ergodic theory, dynamical systems and alge braic groups. Until now, the best known and most accessible introduction to these num bers has been the beautiful little monograph of Salem, Algebraic Numbers and Fourier Analysis, first published in 1963. Since the publication of Salem's book, however, there has been much progress in the study of these numbers. Pisot had long expressed the desire to publish an up-to-date account of this work, but his death in 1984 left this task unfulfilled Mathematics Number theory Number Theory Mathematik Pisot-Zahl (DE-588)4304031-7 gnd rswk-swf Salem-Zahl (DE-588)4304030-5 gnd rswk-swf Pisot-Zahl (DE-588)4304031-7 s 1\p DE-604 Salem-Zahl (DE-588)4304030-5 s 2\p DE-604 Decomps-Guilloux, A. Sonstige oth Grandet-Hugot, M. Sonstige oth Pathiaux-Delefosse, M. Sonstige oth Schreiber, J. P. Sonstige oth https://doi.org/10.1007/978-3-0348-8632-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bertin, M. J. Pisot and Salem Numbers Mathematics Number theory Number Theory Mathematik Pisot-Zahl (DE-588)4304031-7 gnd Salem-Zahl (DE-588)4304030-5 gnd |
| subject_GND | (DE-588)4304031-7 (DE-588)4304030-5 |
| title | Pisot and Salem Numbers |
| title_auth | Pisot and Salem Numbers |
| title_exact_search | Pisot and Salem Numbers |
| title_full | Pisot and Salem Numbers by M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, J. P. Schreiber |
| title_fullStr | Pisot and Salem Numbers by M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, J. P. Schreiber |
| title_full_unstemmed | Pisot and Salem Numbers by M. J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, J. P. Schreiber |
| title_short | Pisot and Salem Numbers |
| title_sort | pisot and salem numbers |
| topic | Mathematics Number theory Number Theory Mathematik Pisot-Zahl (DE-588)4304031-7 gnd Salem-Zahl (DE-588)4304030-5 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Pisot-Zahl Salem-Zahl |
| url | https://doi.org/10.1007/978-3-0348-8632-1 |
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