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Introduction to fourier series

"This concise, self-contained reference/text addresses all of the major topics in Fourier series - emphasizing the concept of approximate identities; presenting applications, particularly in time series analysis; stressing throughout the idea of homogeneous Banach spaces; and providing new resu...

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Bibliographic Details
Main Author: Lasser, Rupert
Format: Book
Language:English
Published: New York Marcel Dekker 1996
Series:Monographs and textbooks in pure and applied mathematics 199
Subjects:
Fourier series.
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Table of Contents:
  • 1. Fourier Coefficients
  • 2. Approximate Identities
  • 3. Approximate Identities and Pointwise Convergence
  • 4. Square Integrable Functions
  • 5. Convergence of Fourier Series in Norm
  • 6. Local Convergence
  • 7. Characterization of Fourier Coefficients
  • 8. Hilbert Transform
  • 9. Characterizations of Approximate Identities
  • 10. Triangular Schemes
  • 11. Elements of Best Approximation
  • 12. Poisson Integrals and Hardy Spaces
  • 13. Conjugation of Approximate Identities
  • 14. Szego-Kolmogorov Theorem
  • 15. Absolute Convergence of Fourier Series
  • 16. Fourier Transform on R
  • 17. Plancherel Transform on R
  • 18. Poisson Summation Formula
  • Appendix A: Measure Theory
  • Appendix B: Banach Spaces
  • Appendix C: Banach Algebras.

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