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20240329122006.0 |
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|a 50 years with Hardy spaces :
|b a tribute to Victor Havin /
|c Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, editors.
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|a Cham, Switzerland :
|b Birkhäuser,
|c 2018.
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|a 1 online resource.
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|a text
|b txt
|2 rdacontent.
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|a computer
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|2 rdamedia.
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|a online resource
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|b PDF.
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|a text file.
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|a Operator theory: Advances and applications,
|x 0255-0156 ;
|v volume 261.
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|a Online resource; title from PDF title page (SpringerLink, viewed April 4, 2018).
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|a 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. .--
|c Provided by publisher.
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|6 880-01
|a 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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|a 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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|a 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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|a Hardy spaces.
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|a Mathematics.
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|a Real Functions.
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|a Measure and Integration.
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|a Functions of complex variables.
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|a Dynamics.
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|a Ergodic theory.
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|a Functional analysis.
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|a Operator theory.
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| 650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh.
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| 650 |
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6 |
|a Espaces de Hardy.
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| 650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh.
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| 650 |
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|a Análisis funcional.
|2 embne.
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| 650 |
0 |
7 |
|a Hardy, Espacios de.
|2 embucm.
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| 650 |
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|a Hardy spaces.
|2 fast.
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| 655 |
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|a Festschriften.
|2 fast.
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|a Festschriften.
|2 lcgft.
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| 700 |
1 |
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|a Havin, Victor,
|d 1933-2015,
|e honouree.
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| 700 |
1 |
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|a Baranov, Anton,
|e editor.
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| 700 |
1 |
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|a Kisliakov, Sergei,
|e editor.
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| 700 |
1 |
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|a Nikolʹskiĭ, N. K.
|q (Nikolaĭ Kapitonovich),
|e editor.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|a Operator theory, advances and applications ;
|v v. 261.
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| 880 |
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|6 505-01/(S
|a 3. The resonance method -- general considerations4. Gál-type extremal problems and the proof of Theorem 1; 4.1. Background on Gál-type extremal problems; 4.2. Levinson's case v = 1 revisited; 4.3. The case 3/4 {u2264} v {u2264} 1 {u2212} 1/ log2 T; 4.4. The case 1/2 + 1/ log2 T {u2264} v {u2264} 3/4; 5. Proof of Theorem 2; 6. Concluding remarks; Acknowledgment; References; Spectra of Stationary Processes on Z; 1. Introduction; 2. Spectra of stationary random sequences; 2.1. Spectrum of a single realization; 2.2. Spectrum of the process and spectra of its realizations; 2.2.1. Proof of Part (A); 2.2.2. Proof of Part (B).
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|6 505-00/(S
|a 3. Characteristics of the channels and spectral data3.1. Jost solutions; 3.2. Spectrum, scattering data corresponding to the continuous spectrum; 4. Properties of solutions of finite difference equations; 5. Construction of the special solutions; 6. Singularities of U(k, }); 7. Relation for the scattering coefficients; 8. Discrete spectrum of the operator L; 9. Equations of the inverse scattering problem; 9.1.; 9.2.; 10. Concluding remarks; Acknowledgment; References; Note on the Resonance Methodfor the Riemann Zeta Function; 1. Introduction; 2. Statement of main results.
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|a Marcive found issue: "650 24
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|a Marcive found issue: "650 24
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