**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2009; 254 pp; Hardcover

MSC: Primary 30;

Print ISBN: 978-0-8218-4801-2

Product Code: TRANS2/226

Print ISBN: 978-0-8218-4801-2

Product Code: TRANS2/226

List Price: $115.00

Individual Member Price: $92.00

**Electronic ISBN: 978-1-4704-1826-7
Product Code: TRANS2/226.E**

List Price: $115.00

Individual Member Price: $92.00

# Linear and Complex Analysis: Dedicated to V. P. Havin on the Occasion of His 75th Birthday

Share this page *Edited by *
*Alexei Alexandrov; Anton Baranov; Sergey Kislyakov*

The volume consists of articles by friends and collaborators of a renowned Russian mathematician, V. P. Havin, prepared on the occasion of Havin's 75th birthday. The articles in the volume are devoted to areas of analysis where Havin himself worked successfully for many years.

#### Readership

Graduate students and research mathematicians interested in analysis.

# Table of Contents

## Linear and Complex Analysis: Dedicated to V. P. Havin on the Occasion of His 75th Birthday

- Cover Cover11
- Frontispiece ii3
- Title page iii4
- Copyright page iv5
- Contents v6
- Preface vii8
- Publications authored by V. P. Havin xi12
- Zeros of functions in weighted Bergman spaces 118
- A characterizataion of the Fourier transform and related topics 1128
- Geodesic restrictions and 𝐿^{𝑝}-estimates for eigenfunctions of Riemannian surfaces 2744
- A Blaschke-type condition for analytic and subharmonic functions and application to contraction operators 3754
- New estimates for the length of the Erdős-Herzog-Piranian lemniscate 4966
- Compact approximation by bounded functions and functions continuous up to the boundary 6178
- Un théorème de Helson pour des séries de Walsh 6784
- Interpolation sequences for the Bernstein algebra 7592
- Integral and isocapacitary inequalities 85102
- Differentiability of functions of contractions 109126
- Asymptotic behavior of arguments of Cauchy integrals 133150
- Free interpolation in the Nevanlinna class 145162
- Interpolation by Dirichlet series in 𝐻^{∞} 153170
- Remarks on counting negative eigenvalues of the Schrödinger operator on regular metric trees 165182
- 𝐻¹ and dyadic 𝐻¹ 179196
- Monge-Ampère equation and Bellman optimization of Carleson embedding theorems 195212
- Remarks on Nehari’s problem, matrix 𝐴₂ condition, and weighted bounded mean oscillation 239256
- Back Cover Back Cover1274