
- 300 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Introduction to Fourier Series
About this book
This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.
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Yes, you can access Introduction to Fourier Series by Rupert Lasser in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- HalfTitle
- Series Page
- Title Page
- Copyright Page
- Preface
- 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 Szegö-Kolmogorov Theorem
- 15 Absolute Convergence of Fourier Series
- 16 Fourier Transform on R
- 17 Plancherel Transform on R
- 18 Poisson Summation Formula
- Appendices
- Appendix A: Measure Theory
- Appendix B: Banach Spaces
- Appendix C: Banach Algebras
- References
- Index