This book provides a descriptive account of Mischa Cotlar's work along with a complete bibliography of his mathematical books and papers. It examines the harmonic analysis and operator theory in relation with the theory of partial differential equations.
Table of Contents
Part I: Harmonic and Complex Analysis 1. Summability Methods for Transferring Fourier Multipliers and Transference of Maximal Inequalities 2. The Three Squares Theorem, A Local Version 3. An Application of Ricci-Stein Theorem to Estimates of the C-R Equations 4. Real-Analytic Operator-Valued Functions Defined in BMO 5. Strong A∞ Weights, Sobolev Inequalities and Quasiconformal Mappings 6. Some Remarks on Harmonic Analysis and Elliptic Partial Differential Equations 7. Singular Value Estimates for Commutators and Hankel Operators on the Unit Ball and the Heisenberg Group 8. General Endpoint Results in Extrapolation 9. Fractional Integrals on Spaces of Homogeneous Type 10. Large Analytic Functions, II 11. Reiteration Phenomena in the Complex Method of Interpolation 12. Produits de Riesz et Series de Dirichlet 13. A Note on Commutation Properties for Interpolation Spaces 14. Harmonic Analysis and Fundamental Solutions on Nilpotent Lie Groups 15. Tangential and Approximate Free Interpolation 16. The Fock Bundle 17. A Local Version of a Theorem of Khinchin 18. Extrapolation for Pairs of Related Weights 19. A Simple Example of Transference Part II: Functional Analysis and Operator Theory 20. Schur Analysis of a Class of Translation Invariant Forms 21. Two-sided Nudelman Interpolation Problem for Rational Matrix Functions 22. A Metric Property of the Polar Decomposition of Projections 23. On Reproducing Kernels and the Continuous Covariance Extension Problem 24. On the Singular Values of the Four-Block Operator and Certain Generalized Interpolation Problems 25. Some Applications of K-theory and Ext-Theory to Joint Quasitriangularity 26. Algebraic Operators and Invariant Linear Manifolds 27. A Characterization of Coanalytic Toeplitz Operators in the Cowen-Douglas Class 28. Hankel Operators in the Perturbation Theory of Unbounded Self-adjoint Operators 29. Composition Operators as Integral Operators Part III: Partial Differential Equations 30. Uniform Estimates for Regularization of Free Boundary Problems 31. LP Estimates for the Three-dimensional Systems of Ellastostatics 32. Growth and Geometry of Eigenfunctions of the Laplacian 33. Trying to Beat Heisenberg 34. Smoothing Properties of Solutions to the Benjamin-Ono Equation Part IV: The Mathematical Work of Mischa Cotlar