Classical fourier analysis
Fourier analysis Functional analysis Harmonic analysis Mathematics sähkökirjat
Springer
2014
3rd ed.
EISBN 9781493911943
Preface.
1. Lp Spaces and Interpolation.
2. Maximal Functions, Fourier Transform, and Distributions.
3. Fourier Series.
4. Topics on Fourier Series.
5. Singular Integrals of Convolution Type.
6. Littlewood–Paley Theory and Multipliers.
7. Weighted Inequalities.
A. Gamma and Beta Functions.
B. Bessel Functions.
C. Rademacher Functions.
D. Spherical Coordinates.
E. Some Trigonometric Identities and Inequalities.
F. Summation by Parts.
G. Basic Functional Analysis.
H. The Minimax Lemma.
I. Taylor's and Mean Value Theorem in Several Variables.
J. The Whitney Decomposition of Open Sets in Rn.
Glossary.
References.
Index.
1. Lp Spaces and Interpolation.
2. Maximal Functions, Fourier Transform, and Distributions.
3. Fourier Series.
4. Topics on Fourier Series.
5. Singular Integrals of Convolution Type.
6. Littlewood–Paley Theory and Multipliers.
7. Weighted Inequalities.
A. Gamma and Beta Functions.
B. Bessel Functions.
C. Rademacher Functions.
D. Spherical Coordinates.
E. Some Trigonometric Identities and Inequalities.
F. Summation by Parts.
G. Basic Functional Analysis.
H. The Minimax Lemma.
I. Taylor's and Mean Value Theorem in Several Variables.
J. The Whitney Decomposition of Open Sets in Rn.
Glossary.
References.
Index.
