50 Years With Hardy Spaces: A Tribute To Victor Havin (operator Theory: Advances And Applications)

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 20 th 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. Front Matter ....Pages i-vii Front Matter ....Pages 1-1 Victor Petrovich Havin, A Life Devoted to Mathematics (Anton Baranov, Sergei Kisliakov, Nikolai Nikolski)....Pages 3-66 Mathematics as a Source of Certainty and Uncertainty (Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, V. P. Havin)....Pages 67-73 Remembering Victor Petrovich Havin (Konstantin M. Dyakonov)....Pages 75-80 Front Matter ....Pages 81-81 Interpolation by the Derivatives of Operator Lipschitz Functions (A. B. Aleksandrov)....Pages 83-95 Discrete Multichannel Scattering with Step-like Potential (Isaac Alvarez-Romero, Yurii Lyubarskii)....Pages 97-120 Note on the Resonance Method for the Riemann Zeta Function (Andriy Bondarenko, Kristian Seip)....Pages 121-139 Spectra of Stationary Processes on \(\mathbb{Z}\) (Alexander Borichev, Mikhail Sodin, Benjamin Weiss)....Pages 141-157 Index Formulas for Toeplitz Operators, Approximate Identities, and the Wolf–Havin Theorem (Albrecht Böttcher)....Pages 159-171 Bounded Point Derivations on Certain Function Algebras (J. E. Brennan)....Pages 173-190 Three Problems in Function Theory (J. E. Brennan)....Pages 191-227 Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order (K. Domelevo, A. Osękowski, S. Petermichl)....Pages 229-255 On the Maximum Principle for the Riesz Transform (Vladimir Eiderman, Fedor Nazarov)....Pages 257-266 Submultiplicative Operators on Ck-Spaces (Dmitry Faifman, Hermann König, Vitali Milman)....Pages 267-279 Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach (Paata Ivanisvili, Alexander Volberg)....Pages 281-305 Fundamental Groups, Slalom Curves and Extremal Length (Burglind Jöricke)....Pages 307-315 Sparse Bounds for Random Discrete Carleson Theorems (Ben Krause, Michael T. Lacey)....Pages 317-332 Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three (Alexander Logunov, Eugenia Malinnikova)....Pages 333-344 Differentiability of Solutions to the Neumann Problem with Low-regularity Data via Dynamical Systems (Vladimir Maz’ya, Robert McOwen)....Pages 345-387 A Function with Support of Finite Measure and “Small” Spectrum (Fedor Nazarov, Alexander Olevskii)....Pages 389-393 An Elementary Approach to Operator Lipschitz Type Estimates (V. V. Peller)....Pages 395-416 Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets (Gilles Pisier)....Pages 417-465 Sublinear Equations and Schur’s Test for Integral Operators (Igor E. Verbitsky)....Pages 467-484 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. .-- Provided by publisher "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"-- Prové de l'editor "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"--Page 4 of cover