Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 /

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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Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
VerfasserIn:
Stein, Elias M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1971
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series ; 30
Online Access:
Physical Description:1 online resource (304 p.)
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100 1 |a Stein, Elias M.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 /  |c Elias M. Stein. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1971 
300 |a 1 online resource (304 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 0 |a Princeton Mathematical Series ;  |v 30 
505 0 0 |t Frontmatter --   |t Preface --   |t Notation --   |t Contents --   |t I. Some Fundamental Notions of Real-Variable Theory --   |t II. Singular Integrals --   |t III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics --   |t IV. The Littlewood-Paley Theory and Multipliers --   |t V. Differentiability Properties in Terms of Function Spaces --   |t VI. Extensions and Restrictions --   |t VII. Return to the Theory of Harmonic Functions --   |t VIII. Differentiation of Functions --   |t Appendices --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Functions of real variables. 
650 0 |a Harmonic analysis. 
650 0 |a Singular integrals. 
650 7 |a MATHEMATICS / Functional Analysis.  |2 bisacsh 
653 |a A priori estimate. 
653 |a Analytic function. 
653 |a Banach algebra. 
653 |a Banach space. 
653 |a Basis (linear algebra). 
653 |a Bessel function. 
653 |a Bessel potential. 
653 |a Big O notation. 
653 |a Borel measure. 
653 |a Boundary value problem. 
653 |a Bounded function. 
653 |a Bounded operator. 
653 |a Bounded set (topological vector space). 
653 |a Bounded variation. 
653 |a Boundedness. 
653 |a Cartesian product. 
653 |a Change of variables. 
653 |a Characteristic function (probability theory). 
653 |a Characterization (mathematics). 
653 |a Commutative property. 
653 |a Complex analysis. 
653 |a Complex number. 
653 |a Continuous function (set theory). 
653 |a Continuous function. 
653 |a Convolution. 
653 |a Derivative. 
653 |a Difference "ient. 
653 |a Difference set. 
653 |a Differentiable function. 
653 |a Dimension (vector space). 
653 |a Dimensional analysis. 
653 |a Dirac measure. 
653 |a Dirichlet problem. 
653 |a Distribution function. 
653 |a Division by zero. 
653 |a Dot product. 
653 |a Dual space. 
653 |a Equation. 
653 |a Existential quantification. 
653 |a Family of sets. 
653 |a Fatou's theorem. 
653 |a Finite difference. 
653 |a Fourier analysis. 
653 |a Fourier series. 
653 |a Fourier transform. 
653 |a Function space. 
653 |a Green's theorem. 
653 |a Harmonic analysis. 
653 |a Harmonic function. 
653 |a Hilbert space. 
653 |a Hilbert transform. 
653 |a Homogeneous function. 
653 |a Infimum and supremum. 
653 |a Integral transform. 
653 |a Interpolation theorem. 
653 |a Interval (mathematics). 
653 |a Linear map. 
653 |a Lipschitz continuity. 
653 |a Lipschitz domain. 
653 |a Locally integrable function. 
653 |a Marcinkiewicz interpolation theorem. 
653 |a Mathematical induction. 
653 |a Maximal function. 
653 |a Maximum principle. 
653 |a Mean value theorem. 
653 |a Measure (mathematics). 
653 |a Modulus of continuity. 
653 |a Multiple integral. 
653 |a Open set. 
653 |a Order of integration. 
653 |a Orthogonality. 
653 |a Orthonormal basis. 
653 |a Partial derivative. 
653 |a Partial differential equation. 
653 |a Partition of unity. 
653 |a Periodic function. 
653 |a Plancherel theorem. 
653 |a Pointwise. 
653 |a Poisson kernel. 
653 |a Polynomial. 
653 |a Real variable. 
653 |a Rectangle. 
653 |a Riesz potential. 
653 |a Riesz transform. 
653 |a Scientific notation. 
653 |a Sign (mathematics). 
653 |a Singular integral. 
653 |a Sobolev space. 
653 |a Special case. 
653 |a Splitting lemma. 
653 |a Subsequence. 
653 |a Subset. 
653 |a Summation. 
653 |a Support (mathematics). 
653 |a Theorem. 
653 |a Theory. 
653 |a Total order. 
653 |a Unit vector. 
653 |a Variable (mathematics). 
653 |a Zero of a function. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Series eBook Package  |z 9783110501063  |o ZDB-23-PMS 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691080796 
856 4 0 |u https://doi.org/10.1515/9781400883882 
856 4 0 |u https://www.degruyter.com/isbn/9781400883882 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400883882/original 
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