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Fourier Analysis on Local Fields. (MN-15) /
This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, an...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2015.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 020 | |a 9781400871339 | ||
| 020 | |z 9780691645162 | ||
| 020 | |z 9780691081656 | ||
| 020 | |z 9780691618128 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Taibleson, M. H. | |
| 245 | 1 | 0 | |a Fourier Analysis on Local Fields. (MN-15) / |c M.H. Taibleson. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2015. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2015. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Mathematical notes | |
| 505 | 0 | |a Preface; Introduction; Table of Contents; VII. Conjugate Systems of Regular Functions and an F. and M. Riesz Theorem. | |
| 520 | |a This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. | ||
| 546 | |a In English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Local fields (Algebra) |2 fast |0 (OCoLC)fst01001252 | |
| 650 | 7 | |a Fourier analysis. |2 fast |0 (OCoLC)fst00933401 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 6 | |a Corps locaux (Algebre) | |
| 650 | 6 | |a Analyse de Fourier. | |
| 650 | 0 | |a Local fields (Algebra) | |
| 650 | 0 | |a Fourier analysis. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/45190/ |
| 945 | |a Project MUSE - Custom Collection | ||