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.
Mục lục
Preface.- Havin’s 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 Wolf–Havin 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 Rider’s Results on non-Commutative Sidon Sets.- Sublinear Equations and Schur’s Test for Integral Operators.
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