Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / / Elias M. Stein.
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...
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Stein, Elias M., author. aut http://id.loc.gov/vocabulary/relators/aut Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / Elias M. Stein. Princeton, NJ : Princeton University Press, [2016] ©1971 1 online resource (304 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 30 Frontmatter -- Preface -- Notation -- Contents -- I. Some Fundamental Notions of Real-Variable Theory -- II. Singular Integrals -- III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics -- IV. The Littlewood-Paley Theory and Multipliers -- V. Differentiability Properties in Terms of Function Spaces -- VI. Extensions and Restrictions -- VII. Return to the Theory of Harmonic Functions -- VIII. Differentiation of Functions -- Appendices -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Functions of real variables. Harmonic analysis. Singular integrals. MATHEMATICS / Functional Analysis. bisacsh A priori estimate. Analytic function. Banach algebra. Banach space. Basis (linear algebra). Bessel function. Bessel potential. Big O notation. Borel measure. Boundary value problem. Bounded function. Bounded operator. Bounded set (topological vector space). Bounded variation. Boundedness. Cartesian product. Change of variables. Characteristic function (probability theory). Characterization (mathematics). Commutative property. Complex analysis. Complex number. Continuous function (set theory). Continuous function. Convolution. Derivative. Difference "ient. Difference set. Differentiable function. Dimension (vector space). Dimensional analysis. Dirac measure. Dirichlet problem. Distribution function. Division by zero. Dot product. Dual space. Equation. Existential quantification. Family of sets. Fatou's theorem. Finite difference. Fourier analysis. Fourier series. Fourier transform. Function space. Green's theorem. Harmonic function. Hilbert space. Hilbert transform. Homogeneous function. Infimum and supremum. Integral transform. Interpolation theorem. Interval (mathematics). Linear map. Lipschitz continuity. Lipschitz domain. Locally integrable function. Marcinkiewicz interpolation theorem. Mathematical induction. Maximal function. Maximum principle. Mean value theorem. Measure (mathematics). Modulus of continuity. Multiple integral. Open set. Order of integration. Orthogonality. Orthonormal basis. Partial derivative. Partial differential equation. Partition of unity. Periodic function. Plancherel theorem. Pointwise. Poisson kernel. Polynomial. Real variable. Rectangle. Riesz potential. Riesz transform. Scientific notation. Sign (mathematics). Singular integral. Sobolev space. Special case. Splitting lemma. Subsequence. Subset. Summation. Support (mathematics). Theorem. Theory. Total order. Unit vector. Variable (mathematics). Zero of a function. Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080796 https://doi.org/10.1515/9781400883882 https://www.degruyter.com/isbn/9781400883882 Cover https://www.degruyter.com/document/cover/isbn/9781400883882/original |
language |
English |
format |
eBook |
author |
Stein, Elias M., Stein, Elias M., |
spellingShingle |
Stein, Elias M., Stein, Elias M., Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / Princeton Mathematical Series ; Frontmatter -- Preface -- Notation -- Contents -- I. Some Fundamental Notions of Real-Variable Theory -- II. Singular Integrals -- III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics -- IV. The Littlewood-Paley Theory and Multipliers -- V. Differentiability Properties in Terms of Function Spaces -- VI. Extensions and Restrictions -- VII. Return to the Theory of Harmonic Functions -- VIII. Differentiation of Functions -- Appendices -- Bibliography -- Index |
author_facet |
Stein, Elias M., Stein, Elias M., |
author_variant |
e m s em ems e m s em ems |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Stein, Elias M., |
title |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / |
title_full |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / Elias M. Stein. |
title_fullStr |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / Elias M. Stein. |
title_full_unstemmed |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / Elias M. Stein. |
title_auth |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / |
title_alt |
Frontmatter -- Preface -- Notation -- Contents -- I. Some Fundamental Notions of Real-Variable Theory -- II. Singular Integrals -- III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics -- IV. The Littlewood-Paley Theory and Multipliers -- V. Differentiability Properties in Terms of Function Spaces -- VI. Extensions and Restrictions -- VII. Return to the Theory of Harmonic Functions -- VIII. Differentiation of Functions -- Appendices -- Bibliography -- Index |
title_new |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / |
title_sort |
singular integrals and differentiability properties of functions (pms-30), volume 30 / |
series |
Princeton Mathematical Series ; |
series2 |
Princeton Mathematical Series ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (304 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Notation -- Contents -- I. Some Fundamental Notions of Real-Variable Theory -- II. Singular Integrals -- III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics -- IV. The Littlewood-Paley Theory and Multipliers -- V. Differentiability Properties in Terms of Function Spaces -- VI. Extensions and Restrictions -- VII. Return to the Theory of Harmonic Functions -- VIII. Differentiation of Functions -- Appendices -- Bibliography -- Index |
isbn |
9781400883882 9783110501063 9783110442496 9780691080796 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA331 |
callnumber-sort |
QA 3331.5 S75 EB |
url |
https://doi.org/10.1515/9781400883882 https://www.degruyter.com/isbn/9781400883882 https://www.degruyter.com/document/cover/isbn/9781400883882/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.82/433 |
dewey-sort |
3515 282 3433 |
dewey-raw |
515/.82/433 |
dewey-search |
515/.82/433 |
doi_str_mv |
10.1515/9781400883882 |
oclc_num |
979595706 |
work_keys_str_mv |
AT steineliasm singularintegralsanddifferentiabilitypropertiesoffunctionspms30volume30 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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