Fourier Analysis and Convexity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Schriftenreihe: | Applied and Numerical Harmonic Analysis
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series. This unified, self-contained volume is dedicated to Fourier analysis, convex geometry, and related topics. Specific topics covered include: * the geometric properties of convex bodies * the study of Radon transforms * the geometry of numbers * the study of translational tilings using Fourier analysis * irregularities in distributions * Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis * restriction problems for the Fourier transform The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way. Contributors: J. Beck, C. Berenstein, W.W.L. Chen, B. Green, H. Groemer, A. Koldobsky, M. Kolountzakis, A. Magyar, A.N. Podkorytov, B. Rubin, D. Ryabogin, T. Tao, G. Travaglini, A. Zvavitch |
| Beschreibung: | 1 Online-Ressource (IX, 268 p) |
| ISBN: | 9780817681722 9781461264743 |
| DOI: | 10.1007/978-0-8176-8172-2 |
Internformat
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| 500 | |a Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series. This unified, self-contained volume is dedicated to Fourier analysis, convex geometry, and related topics. Specific topics covered include: * the geometric properties of convex bodies * the study of Radon transforms * the geometry of numbers * the study of translational tilings using Fourier analysis * irregularities in distributions * Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis * restriction problems for the Fourier transform The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way. Contributors: J. Beck, C. Berenstein, W.W.L. Chen, B. Green, H. Groemer, A. Koldobsky, M. Kolountzakis, A. Magyar, A.N. Podkorytov, B. Rubin, D. Ryabogin, T. Tao, G. Travaglini, A. Zvavitch | ||
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Datensatz im Suchindex
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| author | Brandolini, Luca |
| author_facet | Brandolini, Luca |
| author_role | aut |
| author_sort | Brandolini, Luca |
| author_variant | l b lb |
| building | Verbundindex |
| bvnumber | BV042419192 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184262953 (DE-599)BVBBV042419192 |
| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-8172-2 |
| format | Electronic eBook |
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| id | DE-604.BV042419192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817681722 9781461264743 |
| language | English |
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| physical | 1 Online-Ressource (IX, 268 p) |
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| publisher | Birkhäuser Boston |
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| series2 | Applied and Numerical Harmonic Analysis |
| spelling | Brandolini, Luca Verfasser aut Fourier Analysis and Convexity edited by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (IX, 268 p) txt rdacontent c rdamedia cr rdacarrier Applied and Numerical Harmonic Analysis Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series. This unified, self-contained volume is dedicated to Fourier analysis, convex geometry, and related topics. Specific topics covered include: * the geometric properties of convex bodies * the study of Radon transforms * the geometry of numbers * the study of translational tilings using Fourier analysis * irregularities in distributions * Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis * restriction problems for the Fourier transform The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way. Contributors: J. Beck, C. Berenstein, W.W.L. Chen, B. Green, H. Groemer, A. Koldobsky, M. Kolountzakis, A. Magyar, A.N. Podkorytov, B. Rubin, D. Ryabogin, T. Tao, G. Travaglini, A. Zvavitch Mathematics Harmonic analysis Fourier analysis Functional analysis Discrete groups Number theory Fourier Analysis Abstract Harmonic Analysis Convex and Discrete Geometry Number Theory Functional Analysis Mathematik Konvexe Geometrie (DE-588)4407260-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Konvexe Geometrie (DE-588)4407260-0 s 1\p DE-604 Harmonische Analyse (DE-588)4023453-8 s 2\p DE-604 Colzani, Leonardo Sonstige oth Travaglini, Giancarlo Sonstige oth Iosevich, Alex Sonstige oth https://doi.org/10.1007/978-0-8176-8172-2 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 | Brandolini, Luca Fourier Analysis and Convexity Mathematics Harmonic analysis Fourier analysis Functional analysis Discrete groups Number theory Fourier Analysis Abstract Harmonic Analysis Convex and Discrete Geometry Number Theory Functional Analysis Mathematik Konvexe Geometrie (DE-588)4407260-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4407260-0 (DE-588)4023453-8 |
| title | Fourier Analysis and Convexity |
| title_auth | Fourier Analysis and Convexity |
| title_exact_search | Fourier Analysis and Convexity |
| title_full | Fourier Analysis and Convexity edited by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich |
| title_fullStr | Fourier Analysis and Convexity edited by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich |
| title_full_unstemmed | Fourier Analysis and Convexity edited by Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini, Alex Iosevich |
| title_short | Fourier Analysis and Convexity |
| title_sort | fourier analysis and convexity |
| topic | Mathematics Harmonic analysis Fourier analysis Functional analysis Discrete groups Number theory Fourier Analysis Abstract Harmonic Analysis Convex and Discrete Geometry Number Theory Functional Analysis Mathematik Konvexe Geometrie (DE-588)4407260-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Mathematics Harmonic analysis Fourier analysis Functional analysis Discrete groups Number theory Fourier Analysis Abstract Harmonic Analysis Convex and Discrete Geometry Number Theory Functional Analysis Mathematik Konvexe Geometrie Harmonische Analyse |
| url | https://doi.org/10.1007/978-0-8176-8172-2 |
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