Fourier Analysis and Approximation: Vol. 1 One-Dimensional Theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1971
|
| Schriftenreihe: | Mathematische Reihe
40 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier transforms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolution type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view |
| Beschreibung: | 1 Online-Ressource (XVI, 554 p) |
| ISBN: | 9783034874489 9783034874502 |
| DOI: | 10.1007/978-3-0348-7448-9 |
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| discipline | Mathematik |
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| id | DE-604.BV042421930 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034874489 9783034874502 |
| language | English |
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| spelling | Butzer, Paul L. 1928- Verfasser (DE-588)115500529 aut Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory by Paul L. Butzer, Rolf J. Nessel Basel Birkhäuser Basel 1971 1 Online-Ressource (XVI, 554 p) txt rdacontent c rdamedia cr rdacarrier Mathematische Reihe 40 At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier transforms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolution type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view Mathematics Global analysis (Mathematics) Analysis Mathematik Nessel, Rolf J. Sonstige oth Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften Mathematische Reihe 40 (DE-604)BV045417194 40 https://doi.org/10.1007/978-3-0348-7448-9 Verlag Volltext |
| spellingShingle | Butzer, Paul L. 1928- Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory Mathematics Global analysis (Mathematics) Analysis Mathematik |
| title | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory |
| title_auth | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory |
| title_exact_search | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory |
| title_full | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory by Paul L. Butzer, Rolf J. Nessel |
| title_fullStr | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory by Paul L. Butzer, Rolf J. Nessel |
| title_full_unstemmed | Fourier Analysis and Approximation Vol. 1 One-Dimensional Theory by Paul L. Butzer, Rolf J. Nessel |
| title_short | Fourier Analysis and Approximation |
| title_sort | fourier analysis and approximation vol 1 one dimensional theory |
| title_sub | Vol. 1 One-Dimensional Theory |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-0348-7448-9 |
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