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" 50 years with Hardy spaces : "
Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, editors.
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BL
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863934
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| Title & Author
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50 years with Hardy spaces : : a tribute to Victor Havin /\ Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, editors.
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| Publication Statement
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Cham, Switzerland :: Birkhäuser,, 2018.
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| Series Statement
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Operator theory: Advances and applications,; volume 261
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1 online resource
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| ISBN
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3319590782
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: 9783319590783
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9783319590776
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| Contents
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Intro; Contents; Preface; Part I Havin's Biomathography; Victor Petrovich Havin, A Life Devoted to Mathematics; Life; Mathematics; I. Early years 1958-1967: Looking for a track; Separation of singularities, [7], [87], [97]; V.V. Golubev problem and Havin's regular sets; On the other side of the uncertainty principle; Cauchy integrals on rectifiable curves; II. Approximation in the mean and potential theory: 1967-1974; Approximation theory; III. Smoothness up to the boundary of an analytic function compared to the smoothness of its modulus.
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IV. The quotient L1/H1 is weakly sequentially completeV. Approximation properties of harmonic vector fields; Runge and Hartogs-Rosenthal theorems for harmonic vector fields; Bishop's locality principle; VI. Uncertainty principle in harmonic analysis; VII. Admissible majorants and the Beurling-MalliavinMultiplier Theorem; Havin's approach to the multiplier theorem; Further developments; Seminar and Pupils; Personality; Last Words; References; List of Publications of Victor Havin; I. Books, research papers, and surveys; II. Translations, editing, and biographical notes.
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Mathematics as a Source of Certainty and UncertaintyRemembering Victor Petrovich Havin; Part II Contributed Papers; Interpolation by the Derivativesof Operator Lipschitz Functions; 1. Introduction; 2. Interpolation by functions in M(F) on discrete sets; 3. Completely interpolation sets for M(F); 4. Interpolation by functions in M(F) on non-discretesubsets of F; 5. Interpolation by functions in CL(F); 6. Interpolation by functions in CL(C+); References; Discrete Multichannel Scatteringwith Step-like Potential; 1. Introduction; 2. Geometry of the system and the boundary condition.
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| Abstract
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Written in honor of Victor Havin (1933-2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included. .--
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Hardy spaces.
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Hardy spaces.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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Mathematics.
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Dynamical Systems and Ergodic Theory.
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Functional Analysis.
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Functions of a Complex Variable.
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Measure and Integration.
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Operator Theory.
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Real Functions.
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| Dewey Classification
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515/.7
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| LC Classification
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QA331
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| Added Entry
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Baranov, Anton
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Havin, Victor,1933-2015
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Kisliakov, Sergei
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Nikolʹskiĭ, N. K., (Nikolaĭ Kapitonovich)
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