Modern Operator Theory and Applications: The Igor Borisovich Simonenko Anniversary Volume: Operator Theory: Advances and Applications, cartea 170
Editat de Yakob M. Erusalimskii, Israel Gohberg, Sergei M. Grudsky, Vladimir Rabinovich, Nikolai Vasilevskien Limba Engleză Hardback – 12 dec 2006
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Specificații
ISBN-13: 9783764377366
ISBN-10: 3764377364
Pagini: 256
Ilustrații: VII, 256 p.
Dimensiuni: 170 x 244 x 19 mm
Greutate: 0.63 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Operator Theory: Advances and Applications
Locul publicării:Basel, Switzerland
ISBN-10: 3764377364
Pagini: 256
Ilustrații: VII, 256 p.
Dimensiuni: 170 x 244 x 19 mm
Greutate: 0.63 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Operator Theory: Advances and Applications
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
Coefficients Averaging for Functional Operators Generated by Irrational Rotation.- On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure.- Asymmetric Factorizations of Matrix Functions on the Real Line.- On the Structure of the Square of a C 0(1) Operator.- On the Connection Between the Indices of a Block Operator Matrix and of its Determinant.- Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant.- Double Barrier Options Under Lévy Processes.- A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras.- Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves.- On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces.- Finite Sections of Band-dominated Operators with Almost Periodic Coefficients.- On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space.- Asymptotics of a Class of Operator Determinants.
Textul de pe ultima copertă
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
Caracteristici
Contains new, up-to-date results on the very active area of modern operator theory Presents a collection of papers on different areas of operator theory giving a clear concept of contemporary achievements in these areas, of profitable interrelations among them, and of some important applications Contributions present the state of the art in the areas of operator theory originally initiated in pioneer works of I.B. Simonenko Includes supplementary material: sn.pub/extras