The Diversity and Beauty of Applied Operator Theory. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Albrecht Böttcher, Daniel Potts, Peter Stollmann, David Wenzel

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Böttcher, Albrecht.
• Potts, Daniel.
• Stollmann, Peter.
• Wenzel, David.
• SpringerLink (Online service)

シリーズ名:

Operator Theory: Advances and Applications ; 268

ISBN:

9783319759968 [3319759965]    

注記:

Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach -- Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic -- Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators -- A spectral shift function for Schrödinger operators with singular interactions -- Quantum graph with the Dirac operator and resonance states completeness -- Robert Sheckley's Answerer for two orthogonal projections -- Toeplitz kernels and model spaces -- Frames, operator representations, and open problems -- A survey on solvable sesquilinear forms -- An application of limiting interpolation to the Fourier series theory -- Isomorphisms of AC() spaces for countable sets -- Restricted inversion of split-Bezoutians -- Generalized backward shift operators on Z[[x]], Cramer's formulas for solving infinite linear systems, and p-adic integers -- Feynman path integral regularization using Fourier Integral Operator -functions -- Imp
This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

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