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 Link?ping 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 l#L