Selected Papers of Alberto P. Calderon with Commentary

Inbunden, Engelska, 2008

2 519 kr

Slutsåld

Alberto Calderon was one of the leading mathematicians of the twentieth century. His fundamental, pioneering work reshaped the landscape of mathematical analysis. This volume presents a wide selection from some of Calderon's most influential papers. They range from singular integrals to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from inverse problems to ergodic theory. The depth, originality, and historical impact of these works are vividly illustrated by the accompanying commentaries by some of today's leading figures in analysis. In addition, two biographical chapters preface the volume. They discuss Alberto Calderon's early life and his mathematical career.

Produktinformation

Utgivningsdatum2008-04-30
Vikt1 332 g
FormatInbunden
SpråkEngelska
SerieCollected Works
FörlagAmerican Mathematical Society
ISBN9780821842973

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On becoming a mathematician: Markers and decisive moments in Alberto P. Calderon's early life by Alexandra Bellow Calderon Alberto P. Calderon the mathematician, his life and works by M. Christ, C. E. Kenig, and C. Sadosky Calderon selecta papers: On theorems of M. Riesz and A. Zygmund by A. P. Calderon On the behaviour of harmonic functions at the boundary by A. P. Calderon On a theorem of Marcinkiewicz and Zygmund by A. P. Calderon On the existence of certain singular integrals by A. P. Calderon and A. Zygmund A general ergodic theorem by A. P. Calderon Singular integrals and periodic functions by A. P. Calderon and A. Zygmund Analytic functions of several Banach algebra elements by R. Arens and A. P. Calderon On singular integrals by A. P. Calderon and A. Zygmund Algebras of certain singular operators by A. P. Calderon and A. Zygmund Singular integral operators and differential equations by A. P. Calderon and A. Zygmund Uniqueness in the Cauchy problem for partial differential equations by A. P. Calderon Lebesgue spaces of differentiable functions and distributions by A. P. Calderon Existence and uniqueness theorems for systems of partial differential equations by A. P. Calderon Convolution operators on Banach space valued functions by A. Benedek, A. P. Calderon, and R. Panzone Boundary value problems for elliptic equations by A. P. Calderon Intermediate spaces and interpolation, the complex method by A. P. Calderon Commutators of singular integral operators by A. P. Calderon Spaces between $L^1$ and $L^\infty$ and the theorem of Marcinkiewicz by A. P. Calderon Singular integrals by A. P. Calderon Algebras of singular integral operators by A. P. Calderon The analytic calculation of the index of elliptic equations by A. P. Calderon Ergodic theory and translation-invariant operators by A. P. Calderon On the boundedness of pseudo-differential operators by A. P. Calderon and R. Vaillancourt A class of bounded pseudo-differential operators by A. P. Calderon and R. Vaillancourt Cauchy integrals on Lipschitz curves and related operators by A. P. Calderon An atomic decomposition of distributions in parabolic $H^p$ spaces by A. P. Calderon Applications of the Cauchy integral on Lipschitz curves by A. P. Calderon, C. P. Calderon, E. Fabes, M. Jodeit, and N. M. Riviere Commutators, singular integrals on Lipschitz curves and applications by A. P. Calderon On an inverse boundary value problem by A. P. Calderon Hopf's ergodic theorem for particles with different velocities and the "strong sweeping out property" by A. Bellow, A. P. Calderon, and U. Krengel Weak type inequality for convolution products by A. P. Calderon and A. Bellow A representation formula and its applications to singular integrals by A. P. Calderon and C. P. Calderon Calderon selecta commentary: Comments on (5), (14), (22), (30), and (31) by D. L. Burkholder Commentary on two papers of A. P. Calderon by M. Christ Commentary on Calderon's papers on interpolation by C. Fefferman and E. M. Stein Comments on several papers of A. P. Calderon by C. Fefferman and E. M. Stein On the analytical side of the proof of the index theorem, some personal recollections by P. Malliavin Complex analysis and operator theory in Alberto Calderon's work by Y. Meyer Comments on some papers of Alberto P. Calderon by L. Nirenberg Commentary on Calderon's paper (29), On an inverse boundary value problem by G. Uhlmann.