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Singular integrals and differentiability properties of functions /
Singular 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 gifte...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
1970.
|
| Colección: | Princeton mathematical series ;
30. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Stein, Elias M., |d 1931-2018, |e author. | |
| 245 | 1 | 0 | |a Singular integrals and differentiability properties of functions / |c Elias M. Stein. |
| 264 | 1 | |a Princeton, N.J. : |b Princeton University Press, |c 1970. | |
| 300 | |a 1 online resource (xiv, 287 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Princeton mathematical series ; |v 30 | |
| 500 | |a An outgrowth of the author's Intégrales singulières et fonctions différentiables de plusieurs variables. | ||
| 504 | |a Includes bibliographical references (pages 279-287). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Cover; Title; Copyright; Dedication; Contents; PREFACE ; NOTATION ; I. SOME FUNDAMENTAL NOTIONS OF REAL-VARIABLE THEORY ; 1. The maximal function ; 2. Behavior near general points of measurable sets ; 3. Decomposition in cubes of open sets in R^n; 4. An interpolation theorem for L^p; 5. Further results ; II. SINGULAR INTEGRALS. | |
| 505 | 8 | |a 1. Review of certain aspects of harmonic analysis in R^n2. Singular integrals: the heart of the matter ; 3. Singular integrals: some extensions and variants of the preceding ; 4. Singular integral operators which commute with dilations ; 5. Vector-valued analogues ; 6. Further results. | |
| 505 | 8 | |a III. RIESZ TRANSFORMS, POISSON INTEGRALS, AND SPHERICAL HARMONICS 1. The Riesz transforms ; 2. Poisson integrals and approximations to the identity ; 3. Higher Riesz transforms and spherical harmonics ; 4. Further results ; IV. THE LITTLEWOOD-PALEY THEORY AND MULTIPLIERS; 1. The Littlewood-Paley g-function. | |
| 505 | 8 | |a 2. The function3. Multipliers (first version) ; 4. Application of the partial sums operators ; 5. The dyadic decomposition ; 6. The Marcinkiewicz multiplier theorem ; 7. Further results ; V. DIFFERENTIABILITY PROPERTIES IN TERMS OF FUNCTION SPACES; 1. Riesz potentials ; 2. The Sobolev spaces; 3. Bessel potentials. | |
| 520 | |a Singular 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. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Singular integrals. | |
| 650 | 0 | |a Integrals. | |
| 650 | 2 | |a Fourier Analysis | |
| 650 | 6 | |a Fonctions de variables réelles. | |
| 650 | 6 | |a Analyse harmonique. | |
| 650 | 6 | |a Intégrales. | |
| 650 | 6 | |a Intégrales singulières. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Integrals. |2 fast |0 (OCoLC)fst00975518 | |
| 650 | 7 | |a Functions of real variables. |2 fast |0 (OCoLC)fst00936120 | |
| 650 | 7 | |a Harmonic analysis. |2 fast |0 (OCoLC)fst00951490 | |
| 650 | 7 | |a Singular integrals. |2 fast |0 (OCoLC)fst01119499 | |
| 650 | 7 | |a Differenzierbarkeit |2 gnd | |
| 650 | 7 | |a Harmonische Analyse |2 gnd | |
| 650 | 7 | |a Integraltransformation |2 gnd | |
| 650 | 7 | |a Singuläres Integral |2 gnd | |
| 650 | 7 | |a Intégrales. |2 ram | |
| 650 | 7 | |a Fonctions d'une variable réelle. |2 ram | |
| 650 | 7 | |a Analyse harmonique. |2 ram | |
| 650 | 7 | |a Intégrales singulières. |2 ram | |
| 700 | 1 | |a Stein, Elias M., |d 1931-2018. |t Intégrales singulières et fonctions différentiables de plusieurs variables. | |
| 776 | 0 | 8 | |i Print version: |a Stein, Elias M., 1931- |t Singular integrals and differentiability properties of functions. |d Princeton, N.J., Princeton University Press, 1970 |z 0691080798 |w (DLC) 77106395 |w (OCoLC)129565 |
| 830 | 0 | |a Princeton mathematical series ; |v 30. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bpmb07 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 4. The spaces Λa of Lipschitz continuous functions5. The spaces; 6. Further results ; VI. EXTENSIONS AND RESTRICTIONS; 1. Decomposition of open sets into cubes ; 2. Extension theorems of Whitney type ; 3. Extension theorem for a domain with minimally smooth boundary ; 4. Further results ; VII. RETURN TO THE THEORY OF HARMONIC FUNCTIONS. | |
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