50 years with Hardy spaces a tribute to Victor Havin /
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 V...
| Other Authors: | Havin, Victor, 1933-2015,, Baranov, Anton,, Kisliakov, Sergei,, Nikolʹskiĭ, N. K., SpringerLink (Online service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäuser,
2018.
|
| Physical Description: |
1 online resource. |
| Series: |
Operator theory, advances and applications ;
v. 261. |
| Subjects: |
Table of Contents:
- 880-01
- 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.
- 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.
- 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.