Introduction to Harmonic Analysis and Generalized Gelfand by Gerrit van Dijk PDF

By Gerrit van Dijk

This e-book is meant as an creation to harmonic research and generalized Gelfand pairs. beginning with the easy idea of Fourier sequence and Fourier integrals, the writer proceeds to summary harmonic research on in the neighborhood compact abelian teams and Gelfand pairs. ultimately a extra complex idea of generalized Gelfand pairs is developed.

This publication is aimed toward complicated undergraduates or starting graduate scholars. The scope of the booklet is proscribed, with the purpose of allowing scholars to arrive a degree appropriate for beginning PhD study. the most must haves for the booklet are undemanding actual, advanced and sensible research. within the later chapters, familiarity with a few extra complex practical research is believed, particularly with the spectral idea of (unbounded) self-adjoint operators on a Hilbert space.

From the contents

  • Fourier series
  • Fourier integrals
  • Locally compact groups
  • Haar measures
  • Harmonic research on in the neighborhood compact abelian groups
  • Theory and examples of Gelfand pairs
  • Theory and examples of generalized Gelfand pairs

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Introduction to Harmonic Analysis and Generalized Gelfand Pairs (De Gruyter Studies in Mathematics) by Gerrit van Dijk

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