Singular Integrals and Differentiability Properties of Functions
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A01=Elias M. Stein
Analytic function
Author_Elias M. Stein
Banach algebra
Banach space
Basis (linear algebra)
Bessel function
Bessel potential
Big O notation
Boundary value problem
Bounded operator
Bounded set (topological vector space)
Bounded variation
Cartesian product
Category=PBK
Change of variables
Characteristic function (probability theory)
Characterization (mathematics)
Commutative property
Continuous function
Continuous function (set theory)
Derivative
Difference quotient
Difference set
Differentiable function
Dimension (vector space)
Dimensional analysis
Dirac measure
Dirichlet problem
Dot product
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Existential quantification
Fatou's theorem
Fourier analysis
Fourier series
Fourier transform
Function space
Green's theorem
Harmonic analysis
Harmonic function
Hilbert space
Hilbert transform
Infimum and supremum
Integral transform
Interpolation theorem
Linear map
Lipschitz continuity
Locally integrable function
Marcinkiewicz interpolation theorem
Mathematical induction
Maximal function
Mean value theorem
Measure (mathematics)
Modulus of continuity
Multiple integral
Orthonormal basis
Partial derivative
Partial differential equation
Periodic function
Plancherel theorem
Pointwise
Poisson kernel
Polynomial
Riesz transform
Sign (mathematics)
Singular integral
Sobolev space
Special case
Splitting lemma
Support (mathematics)
Theorem
Variable (mathematics)
Product details
- ISBN 9780691080796
- Weight: 567g
- Dimensions: 152 x 229mm
- Publication Date: 21 Feb 1971
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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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.
