Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. |
Contents
3 | |
II SINGULAR INTEGRALS | 26 |
III RIESZ TRANSFORMS POISSON INTEGRALS AND SPHERICAL HARMONICS | 54 |
IV THE LITTLEWOODPALEY THEORY AND MULTIPLIERS | 81 |
V DIFFERENTIABILITY PROPERTIES IN TERMS OF FUNCTION SPACES | 116 |
VI EXTENSIONS AND RESTRICTIONS | 166 |
VII RETURN TO THE THEORY OF HARMONIC FUNCTIONS | 196 |
VIII DIFFERENTIATION OF FUNCTIONS | 240 |
APPENDICES | 271 |
279 | |
289 | |
Other editions - View all
Singular Integrals and Differentiability Properties of Functions Elias M. Stein Limited preview - 1970 |
Singular Integrals and Differentiability Properties of Functions Elias M. Stein Limited preview - 1970 |