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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

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Cover of 'Operator Theory, Pseudo-Differential Equations, and Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 The Dirichlet Problem for the Heat Equation in Domains with Cuspidal Points on the Boundary
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    Chapter 2 Globally Bisingular Elliptic Operators
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    Chapter 3 The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball
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    Chapter 4 The Green Function and Optical Field Enhancement in a Multilayered Microsphere with Metamaterial
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    Chapter 5 Potential Methods for Anisotropic Pseudo-Maxwell Equations in Screen Type Problems
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    Chapter 6 Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side
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    Chapter 7 On Toeplitz and Hankel Operators with Oscillatory Symbols Containing Blaschke Products and Applications to the KdV Equation
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    Chapter 8 Mellin Quantisation in Corner Operators
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    Chapter 9 Pseudodifferential Operators on Variable Lebesgue Spaces
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    Chapter 10 On Convolution Type Operators with Piecewise Slowly Oscillating Data
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    Chapter 11 Transmutations and spectral parameter power series in eigenvalue problems
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    Chapter 12 Estimate from Below for the Growth of Solution to the Navier-Stokes Equation When the Solution Blows Up
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    Chapter 13 Some New Scales of Weight Characterizations of Hardy-type Inequalities
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    Chapter 14 Almost Periodic Elliptic Equations: Sub- and Super-solutions
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    Chapter 15 Morrey-Campanato Spaces: an Overview
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    Chapter 16 Arveson Dichotomy and Essential Fractality
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    Chapter 17 Lower Bounds for the Counting Function of Integral Operators
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    Chapter 18 Toeplitz Operators on the Bergman Spaces with Pseudodifferential Defining Symbols
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    Chapter 19 Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra
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    Chapter 20 On the Reduction of Linear Systems Related to Boundary Value Problems
Attention for Chapter 3: The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball
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Chapter title
The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball
Chapter number 3
Book title
Operator Theory, Pseudo-Differential Equations, and Mathematical Physics
Published by
Birkhäuser, Basel, January 2013
DOI 10.1007/978-3-0348-0537-7_3
Book ISBNs
978-3-03-480536-0, 978-3-03-480537-7
Authors

Albrecht Böttcher, Antti Perälä

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