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E-raamat: Recent Trends in Toeplitz and Pseudodifferential Operators: The Nikolai Vasilevskii Anniversary Volume

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Recent Trends in Toeplitz and Pseudodifferential Operators: The Nikolai Vasilevskii Anniversary VolumeSuurem pilt
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The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.
The Life and Work of Nikolai Vasilevski.- On the Structure of the
Eigenvectors of Large Hermitian Toeplitz Band Matrices.- Complete
Quasi-wandering Sets and Kernels of Functional Operators.- Lions Lemma,
Korns Inequalities and the Lamé Operator on Hypersurfaces.- On the Bergman
Theory for Solenoidal and Irrotational Vector Fields, I: General Theory.-
Weighted Estimates of Generalized Potentials in Variable Exponent Lebesgue
Spaces on Homogeneous Spaces.- Wiener-Hopf Operators with Oscillating Symbols
on Weighted Lebesgue Spaces.- On the Ill-posed Hyperbolic Systems with a
Multiplicity Change Point of Not Less Than the Third Order.- On C *-Algebras
of Super Toeplitz Operators with Radial Symbols.- Universality of Some C
*-Algebra Generated by a Unitary and a Self-adjoint Idempotent.- Commutative
Algebras of Toeplitz Operators and Lagrangian Foliations.- Exponential
Estimates of Eigenfunctions of Matrix Schrödinger and Dirac Operators.- The
Laplace-Beltrami Operator on a Rotationally Symmetric Surface.- On the
Structure of Operators with Automorphic Symbols.- Hilbert Bundles and Flat
Connexions over Hermitian Symmetric Domains.
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