A First Course in Harmonic Analysis

Authors:

ISBN: 978-0-387-22837-2 (Print) 978-0-387-27561-1 (Online)

Table of contents (12 chapters)

  1. Fourier Analysis

    1. No Access

      Book Chapter

      Pages 5-23

      Fourier Series

    2. No Access

      Book Chapter

      Pages 25-39

      Hilbert Spaces

    3. No Access

      Book Chapter

      Pages 41-57

      The Fourier Transform

    4. No Access

      Book Chapter

      Pages 59-69

      Distributions

  2. LCA Groups

    1. No Access

      Book Chapter

      Pages 73-79

      Finite Abelian Groups

    2. No Access

      Book Chapter

      Pages 81-100

      LCA Groups

    3. No Access

      Book Chapter

      Pages 101-109

      The Dual Group

    4. No Access

      Book Chapter

      Pages 111-126

      Plancherel Theorem

  3. Noncommutative Groups

    1. No Access

      Book Chapter

      Pages 129-140

      Matrix Groups

    2. No Access

      Book Chapter

      Pages 141-147

      The Representations of SU(2)

    3. No Access

      Book Chapter

      Pages 149-156

      The Peter-Weyl Theorem

    4. No Access

      Book Chapter

      Pages 157-173

      The Heisenberg Group