Leseprobe
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Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30
Elias M. Stein
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
Kundenbewertungen
A priori estimate, Bessel function, Dirac measure, Modulus of continuity, Characteristic function (probability theory), Multiple integral, Banach algebra, Periodic function, Big O notation, Lipschitz continuity, Measure (mathematics), Marcinkiewicz interpolation theorem, Partial derivative, Existential quantification, Cartesian product, Sign (mathematics), Hilbert transform, Harmonic analysis, Poisson kernel, Fourier transform, Difference set, Bounded variation, Continuous function (set theory), Commutative property, Equation, Integral transform, Theorem, Analytic function, Continuous function, Polynomial, Interpolation theorem, Partial differential equation, Bounded operator, Bounded set (topological vector space), Fourier series, Locally integrable function, Difference quotient, Characterization (mathematics), Orthonormal basis, Dimensional analysis, Basis (linear algebra), Banach space, Boundary value problem, Change of variables, Dot product, Infimum and supremum, Pointwise, Derivative, Linear map, Dirichlet problem, Green's theorem, Fourier analysis, Differentiable function, Splitting lemma, Support (mathematics), Variable (mathematics), Fatou's theorem, Mean value theorem, Mathematical induction, Riesz transform, Function space, Maximal function, Sobolev space, Harmonic function, Hilbert space, Singular integral, Special case, Bessel potential, Plancherel theorem, Dimension (vector space)