Author: Izrail' Tsudikovich GokhbergPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 430
Book Description
Theory and Applications of Volterra Operators in Hilbert Space, By I.C. Gohberg (And) M.G. Krein. (Translated From the Russian by A. Feinstein).
Author: Izrail' Tsudikovich GokhbergPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 430
Book Description
Theory and Applications of Volterra Operators in Hilbert Space
Author: Israel GohbergPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 448
Book Description
Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications
Author: Manfred MöllerPublisher: Birkhäuser
ISBN: 3319170708
Category : Mathematics
Languages : en
Pages : 418
Book Description
The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depending on the spectral parameter, are represented by operator polynomials that are quadratic in the eigenvalue parameter and whose coefficients are self-adjoint operators. The spectra of such operator polynomials are in general no more real, but still exhibit certain patterns. The distribution of these spectra is the main focus of the present volume. For some classes of quadratic operator polynomials, inverse problems are also considered. The connection between the spectra of such quadratic operator polynomials and generalized Hermite-Biehler functions is discussed in detail. Many applications are thoroughly investigated, such as the Regge problem and damped vibrations of smooth strings, Stieltjes strings, beams, star graphs of strings and quantum graphs. Some chapters summarize advanced background material, which is supplemented with detailed proofs. With regard to the reader’s background knowledge, only the basic properties of operators in Hilbert spaces and well-known results from complex analysis are assumed.
Theory and applications of Volterra operators in Hilbert space, by I.C. Gohberg
Author: I. C. GohbergPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages :
Book Description
Book Catalog of the Library and Information Services Division: Shelf List catalog
Author: Environmental Science Information Center. Library and Information Services DivisionPublisher:
ISBN:
Category : Earth sciences
Languages : en
Pages : 578
Book Description
Hardy Martingales
Author: Paul F. X. MüllerPublisher: Cambridge University Press
ISBN: 1108985963
Category : Mathematics
Languages : en
Pages :
Book Description
This book presents the probabilistic methods around Hardy martingales for an audience interested in their applications to complex, harmonic, and functional analysis. Building on work of Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it discusses in detail those martingale spaces that reflect characteristic qualities of complex analytic functions. Its particular themes are holomorphic random variables on Wiener space, and Hardy martingales on the infinite torus product, and numerous deep applications to the geometry and classification of complex Banach spaces, e.g., the SL∞ estimates for Doob's projection operator, the embedding of L1 into L1/H1, the isomorphic classification theorem for the polydisk algebras, or the real variables characterization of Banach spaces with the analytic Radon Nikodym property. Due to the inclusion of key background material on stochastic analysis and Banach space theory, it's suitable for a wide spectrum of researchers and graduate students working in classical and functional analysis.
Book catalog of the Library and Information Services Division
Author: Environmental Science Information Center. Library and Information Services DivisionPublisher:
ISBN:
Category :
Languages : en
Pages : 582
Book Description
Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday
Author: Helge HoldenPublisher: American Mathematical Soc.
ISBN: 0821875744
Category : Mathematics
Languages : en
Pages : 409
Book Description
This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu
Author: 
Author: