Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32Princeton University Press, 2016 M06 2 - 312 páginas The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces. |
Contenido
| 1 | |
CHAPTER II Boundary Values of Harmonic Functions | 37 |
CHAPTER III The Theory of Hp Spaces on Tubes | 89 |
CHAPTER IV Symmetry Properties of the Fourier Transform | 133 |
CHAPTER V Interpolation of Operators | 177 |
CHAPTER VI Singular Integrals and Systems of Conjugate Harmonic Functions | 217 |
CHAPTER VII Multiple Fourier Series | 245 |
| 287 | |
| 295 | |
Otras ediciones - Ver todas
Introduction to Fourier Analysis on Euclidean Spaces Elias M. Stein,Guido Weiss Vista previa limitada - 1971 |
Introduction to Fourier Analysis on Euclidean Spaces Elias M. Stein,Guido Weiss Vista previa limitada - 1971 |
Términos y frases comunes
analytic apply argument assume Banach space belongs boundary bounded called Chapter clearly closed complex condition cone consequence consider constant contained continuous function convergence convex Corollary defined definition denote derivative distribution domain easily equality equivalent established everywhere example exists expression extend fact finite fixed follows formula Fourier transform given gives harmonic functions holds immediate implies inequality integral interpolation introduced kernel Lebesgue Lemma limit linear Lp(En mapping means measure Moreover multiplier nonnegative nontangential norm observe obtain operator particular Poisson integral polynomials positive problem proof proof of Theorem proved relation restricted result Riesz rotation satisfying sequence shown side simple space subharmonic suffices Suppose tends Theorem Theorem 1.3 theory variables