Recent Trends in Operator Theory and Partial Differential Equations: The Roland Duduchava Anniversary Volume

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Vladimir Maz'ya, David Natroshvili, Eugene Shargorodsky, Wolfgang L. Wendland
Birkhäuser, Feb 23, 2017 - Mathematics - 300 pages

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

 

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Contents

The DuduchavaRoch Formula
1
Convolution Type Operators with Symmetry in Bessel Potential Spaces
21
On Symmetries of the FeinbergZee Random Hopping Matrix
50
Inequalities of BabuškaAziz and FriedrichsVelte for Differential Forms
79
High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zero
89
Kernels of WienerHopf plus Hankel Operators with Matching Generating Functions
111
Spline Galerkin Methods for the Double Layer Potential Equations on Contours with Corners
129
Calgebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains
145
Solvability and Lyapunov Stability of a Twocomponent System of Generalized PoissonNernstPlanck Equations
172
A Local Uniqueness Result for a Quasilinear Heat Transmission Problem in a Periodic Twophase Dilute Composite
193
The Method of Potential Operators for Anisotropic Helmholtz Operators on Domains with Smooth Unbounded Boundaries
228
Gabor Analysis for Schrödinger Equations and Propagation of Singularities
257
Commutative Algebras of Toeplitz Operators on a Siegel Domain Associated with the Nilpotent Group of Its Biholomorphisms
275
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