Ebook: Recent Trends in Toeplitz and Pseudodifferential Operators: The Nikolai Vasilevskii Anniversary Volume

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.

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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.

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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.
Content:
Front Matter....Pages i-vii
The Life and Work of Nikolai Vasilevski....Pages 1-14
On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices....Pages 15-36
Complete Quasi-wandering Sets and Kernels of Functional Operators....Pages 37-42
Lions’ Lemma, Korn’s Inequalities and the Lam? Operator on Hypersurfaces....Pages 43-77
On the Bergman Theory for Solenoidal and Irrotational Vector Fields, I: General Theory....Pages 79-106
Weighted Estimates of Generalized Potentials in Variable Exponent Lebesgue Spaces on Homogeneous Spaces....Pages 107-122
Wiener-Hopf Operators with Oscillating Symbols on Weighted Lebesgue Spaces....Pages 123-145
On the Ill-posed Hyperbolic Systems with a Multiplicity Change Point of Not Less Than the Third Order....Pages 147-174
On C *-Algebras of Super Toeplitz Operators with Radial Symbols....Pages 175-188
Universality of Some C *-Algebra Generated by a Unitary and a Self-adjoint Idempotent....Pages 189-193
Commutative Algebras of Toeplitz Operators and Lagrangian Foliations....Pages 195-201
Exponential Estimates of Eigenfunctions of Matrix Schr?dinger and Dirac Operators....Pages 203-216
The Laplace-Beltrami Operator on a Rotationally Symmetric Surface....Pages 217-231
On the Structure of Operators with Automorphic Symbols....Pages 233-248
Hilbert Bundles and Flat Connexions over Hermitian Symmetric Domains....Pages 249-272

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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.
Content:
Front Matter....Pages i-vii
The Life and Work of Nikolai Vasilevski....Pages 1-14
On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices....Pages 15-36
Complete Quasi-wandering Sets and Kernels of Functional Operators....Pages 37-42
Lions’ Lemma, Korn’s Inequalities and the Lam? Operator on Hypersurfaces....Pages 43-77
On the Bergman Theory for Solenoidal and Irrotational Vector Fields, I: General Theory....Pages 79-106
Weighted Estimates of Generalized Potentials in Variable Exponent Lebesgue Spaces on Homogeneous Spaces....Pages 107-122
Wiener-Hopf Operators with Oscillating Symbols on Weighted Lebesgue Spaces....Pages 123-145
On the Ill-posed Hyperbolic Systems with a Multiplicity Change Point of Not Less Than the Third Order....Pages 147-174
On C *-Algebras of Super Toeplitz Operators with Radial Symbols....Pages 175-188
Universality of Some C *-Algebra Generated by a Unitary and a Self-adjoint Idempotent....Pages 189-193
Commutative Algebras of Toeplitz Operators and Lagrangian Foliations....Pages 195-201
Exponential Estimates of Eigenfunctions of Matrix Schr?dinger and Dirac Operators....Pages 203-216
The Laplace-Beltrami Operator on a Rotationally Symmetric Surface....Pages 217-231
On the Structure of Operators with Automorphic Symbols....Pages 233-248
Hilbert Bundles and Flat Connexions over Hermitian Symmetric Domains....Pages 249-272
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