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Herausgeber: 
  • Luca Brandolini
  • Leonardo Colzani
  • Alex Iosevich
  • Giancarlo Travaglini
  • Fourier Analysis and Convexity 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   i.d.R. innert 14-24 Tagen versandfertig
    Veröffentlichung:  August 2004  
    Genre:  Schulbücher 
     
    Abstract Harmonic Analysis / Algebraic Geometry / B / Complex analysis, complex variables / Convex and Discrete Geometry / Convex geometry / Discrete geometry / Discrete Mathematics / Fourier Analysis / Functional Analysis / Functional analysis & transforms / Harmonic analysis / Mathematics and Statistics / Number Theory
    ISBN:  9780817632632 
    EAN-Code: 
    9780817632632 
    Verlag:  Springer New York 
    Einband:  Gebunden  
    Sprache:  English  
    Serie:  Applied and Numerical Harmonic  
    Dimensionen:  H 242 mm / B 165 mm / D 19 mm 
    Gewicht:  513 gr 
    Seiten:  268 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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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