Fourier Analysis on Finite Abelian Groups

Authors:

ISBN: 978-0-8176-4915-9 (Print) 978-0-8176-4916-6 (Online)

Table of contents (9 chapters)

  1. Front Matter

    Pages 1-14

  2. No Access

    Chapter

    Pages 1-22

    Foundation Material

  3. No Access

    Chapter

    Pages 23-32

    Linear Algebra

  4. No Access

    Chapter

    Pages 33-47

    Characters of Finite Groups

  5. No Access

    Chapter

    Pages 49-66

    The Fourier Transform

  6. No Access

    Chapter

    Pages 67-79

    Convolution, Banach Algebras, and the Uncertainty Principle

  7. No Access

    Chapter

    Pages 81-91

    A Reduction Theorem

  8. No Access

    Chapter

    Pages 93-129

    Eigenvalues and Eigenvectors of the Fourier Transform

  9. No Access

    Chapter

    Pages 131-139

    The Quantum Fourier Transform

  10. No Access

    Chapter

    Pages 141-151

    Quadratic Gaussian Sums

  11. Back Matter

    Pages 1-5