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Decomposition of Function Spaces and Its Applications

  • Yoshihiro Sawano
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 56)

Abstract

The field of harmonic analysis dates back to the 19th century; the branch of function spaces dates back to the first half of 20th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform. This aspect will be stressed for Besov spaces and Triebel–Lizorkin spaces. One of the elementary tools in harmonic analysis is to decompose functions or distributions into linear sums of elementary units.

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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Yoshihiro Sawano
    • 1
  1. 1.Department of Mathematics and Information ScienceTokyo Metropolitan UniversityTokyoJapan

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