دانلود کتاب Introduction to Fourier series

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Cover
Half Title
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