50 Years with Hardy Spaces (eBook)

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.