Commutative Harmonic Analysis IV: Harmonic Analysis in IRnViktor Petrovich Khavin, Nikolaĭ Kapitonovich Nikolʹskiĭ |
Contents
Multiple Fourier Series and Fourier Integrals | 3 |
2 Uniform Convergence | 37 |
Exceptional Sets in Harmonic Analysis | 195 |
Copyright | |
1 other sections not shown
Other editions - View all
Commutative Harmonic Analysis IV: Harmonic Analysis in IRn V.P. Khavin,N.K. Nikol'skii Limited preview - 1991 |
Commutative Harmonic Analysis IV: Harmonic Analysis in IRn V.P. Khavin,N.K. Nikol'skii Limited preview - 2013 |
Common terms and phrases
a. e. convergence absolute convergence Alimov analogue analytic functions arbitrary bounded in L2 Calderón Calderón-Zygmund operator Calderón-Zygmund theory Carleson measure Cauchy integral Chapter characteristic function Coifman commutators condition const converges a. e. defined Dirichlet kernel divergence elliptic operators English translation estimate example exceptional sets finite follows formula Fourier integrals Fourier series Fourier transform function ƒ harmonic analysis Hilbert transform Hörmander Il'in inequality kernel L˛(R Lemma Lipschitz curves Lipschitz domain Littlewood-Paley theory localization principle Lp RN Lp(TN Luzin function martingale Math maximal function Meyer multiple Fourier series multiplier Nikishin norm obtain one-dimensional partial sums problem proof rectangular partial sums remark result Riesz means satisfies Sect Sidon sets singular integral operator space spectral expansions Stein subset summable summation T1-Theorem Theorem trigonometric series uniform convergence variables Zygmund