Title Recent trends in Toeplitz and pseudodifferential operators : the Nikolai Vasilevskii anniversary volume / Roland Duduchava [and others], editors

Published Basel, Switzerland : Birkhauser, ©2010

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Description 1 online resource (vi, 272 pages) : illustrations Series Operator theory advances and applications ; vol. 210 Operator theory, advances and applications ; v. 210. Contents Cover13; -- Table of Contents13; -- The Life and Work of Nikolai Vasilevski -- On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices -- 1. Introduction and main results -- 2. The first column of the adjugate matrix -- 3. The main terms of the first column -- 4. The asymptotics of the eigenvectors -- 5. Symmetric matrices -- 6. Numerical results -- References -- Complete Quasi-wandering Sets and Kernels of Functional Operators -- 1. Introduction -- 2. The kernel space of the operator U945; -- References -- Lions Lemma, Korns Inequalities and the Lam180;e Operator on Hypersurfaces -- Introduction -- 1. Sobolev spaces and Bessel potential operators -- 2. Lions Lemma and Korns inequalities -- 3. Killings vector fields and the unique continuation from the boundary -- 4. A local fundamental solution to the Lame equation -- 5. BVPs for the Lame equation and Greens formulae -- 6. The Dirichlet BVP for the Lame equation -- 7. The Neumann BVP for the Lame equation -- References -- On the Bergman Theory for Solenoidal and Irrotational Vector Fields, I: General Theory -- 1. Introduction -- 1.1. -- 1.2.13; -- 1.3. -- 2. Solenoidal and irrotational vector fields: main results -- 2.1. -- 2.2. The SI-Bergman space and the SI-Bergman kernel -- 2.3. SI-Bergman projection -- 2.4. Decomposition of 26; L2 -- 2.5. M168;obius transformations in R3 in vectorial language -- 2.6. R-linear spaces of vector fields and M168;obius transformations on R3 -- 3. The Bergman theory for Moisil-Theodoresco hyperholomorphy -- 3.1. Preliminaries -- 3.2. Mobius transformations in R3 in quaternionic terms -- 3.3. Mobius transformations and hyperholomorphy -- 3.4. Some properties of quaternionic Hilbert spaces -- 3.5. The hyperholomorphic Bergman space -- 3.6. Mobius transformations in R3 and function spaces -- 3.7. Decomposition of the space L2(937;, H) -- 4. The SI- and hyperholomorphic Bergman spaces -- 4.1. Preliminaries -- 4.2. Proofs of the statements of Section 2 -- References -- Weighted Estimates of Generalized Potentials in Variable Exponent Lebesgue Spaces on Homogeneous Spaces -- 1. Introduction -- 2. Formulation of the main result -- 3. Auxiliary estimates -- 4. Main lemma -- 5. Proof of the main result -- References -- Wiener-Hopf Operators with Oscillating Symbols on Weighted Lebesgue Spaces -- 1. Introduction -- 2. Auxiliary results -- 2.1. Slowly oscillating Fourier multipliers on Lp(R, w) -- 2.2. Limit operators and the fiber M8734;([SO, SAP]) -- 2.3. Wiener-Hopf operators with almost periodic symbols -- 3. Geometric mean for matrix functions in [APp]N215;N -- 4. Necessary Fredholm conditions -- 5. Regularizers of Wiener-Hopf operators with symbols in SAPp, w -- 6. Wiener-Hopf operators with symbols in [SOp, w, SAPp, w] -- 7. Matrix case -- References -- On the Ill-posed Hyperbolic Systems with a Multiplicity Change Point of Not Less Than the Third Order -- 1. Main results -- 2. Ramifications of trajectories -- 3. Proof of the theorem -- 4. Addition -- References -- On C8727;-Algebras of Super Toeplitz Operators with Radial Symbols -- 1. Introduction -- 2. Super Toeplitz operators on the unit disk -- 3. Action of the super circle on the super disk -- 4. Radial functions: S1'1-invariant functions -- 5. Super Toeplitz operators with rad Summary 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, commut Bibliography Includes bibliographical references Notes English Print version record Subject Pseudodifferential operators. Toeplitz operators. MATHEMATICS -- Functional Analysis. Operadores pseudodiferenciales Pseudodifferential operators Toeplitz operators Genre/Form Festschriften Festschriften. Form Electronic book Author Vasilevskiĭ, Nikolaĭ. Duduchava, Roland, 1945- LC no. 2010928340 ISBN 9783034605489 303460548X 3034605471 9783034605472 6613076244 9786613076243

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