Written in honor of Victor Havin (19332015), 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.
Preface.- Havins Biomathography.- List of publications of Victor
Havin.- Reminiscences.- Interpolation by the Derivatives of Operator
Lipschitz Functions.- Discrete Multichannel Scattering with Step-Like
Potential.- Note on the Resonance Method for the Riemann Zeta
Function.- Spectra of Stationary Processes on Z.- Index Formulas for Toeplitz
Operators, Approximate Identities, and the WolfHavin Theorem.- Bounded Point
Derivations on Certain Function Algebras.- Three Problems in Function
Theory.- Various Sharp Estimates for Semi-Discrete Riesz Transforms of the
Second Order.- On the Maximum Principle for the Riesz
Transform.- Submultiplicative Operators on Ck-Spaces.- Isoperimetric
Functional Inequalities via the Maximum Principle: the Exterior
Differential Systems Approach.- Fundamental Groups, Slalom Curves and
Extremal Length.- Sparse Bounds for Random Discrete Carleson Theorems.- Nodal
Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in
Dimensions two and three.- Differentiability of Solutions to the Neumann
Problem with Low-Regularity Data via Dynamical Systems.- A Function with
Support of Finite Measure and Small Spectrum.- An Elementary Approach to
Operator Lipschitz Type Estimates.- Spectral Gap Properties of the Unitary
Groups:around Riders Results on non-Commutative Sidon Sets.- Sublinear
Equations and Schurs Test for Integral Operators.
