Bayart, F. & Matheron, E.
Dynamics of Linear Operators
Cambridge University Press 2009.7
352 pp.(H)
ISBN 0-521-51496-7
10,700円
Contents
1. Hypercyclic and supercyclic operators/ 2. Hypercyclicity everywhere/ 3. Connectedness and hypercyclicity/ 4. Weakly mixing operators/ 5. Ergodic theory and linear dynamics/ 6. Beyond hypercyclicity/ 7. Common hypercyclic vectors/ 8. Hypercyclic subspaces/ 9. Supercyclicity and the angle criterion/ 10. Linear dynamics and the weak topology/ 11. Universality of the Riemann zeta function/ 12. About 'the' Read operator/ Appendices/ Notations/ Index/ *
Nair, M. T.
Linear Operator Equations
Approximation and Regularization
World Scientific Publishing Co.Pte. Ltd. 2009.5
264 pp.(H)
ISBN 981-283-564-4
10,000円
Contents
1.Basic Results from Functional Analysis/ 2.Well-Posed Equations and Their Approximations/ 3.Ill-Posed Equations and Their Regularizations/ 4.Regularized Approximation Methods/ Index/
* Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. *
Dunford, N. & Schwartz, J. T.
Linear Operators Set
John Wiley & Sons 2009.5
2648 pp.(P)
ISBN 0-470-55561-0
46,700円
Contents
* This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz. *
Olafsson, G. et al. ed.
The Selected Works of Sigurour Helgason
AMS 2009.9
715 pp.(H)
ISBN 0-8218-4753-8
19,400円
Contents
1.Multipliers of Banach algebras/ 2.Differential opeators on homogeneous spaces/ 3.Fundamental solutions of invariant differential operators on symmetric spaces/ 4.Duality and Radon transform for symmetric spaces/ 5.Fundamental solutions of invariant differential operators on symmetric spaces/ 6.The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds/ 7.Radon-Fourier transforms on symmetric spaces and related group representations/ 8.A duality in integral geometry on symmetric spaces/ 9.Totally geodesic spheres in compact symmetric spaces/ 10.An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces/ 11.A Fatou-type theorem for harmonic functions on symmetric spaces/ 12.The bounded spherical functions on symmetric spaces/ 13.Applications of the Radon transform to representations of semisimple Lie groups/ 14.A duality for symmetric spaces with applications to group representations/ 15.Group representations and symmetric spaces/ 16.A formula for the radial part of the Laplace-Beltrami operator/ 17.Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups/ 18.The surjectivity of invariant differential operators on symmetric spaces I/ 19.Eigenspaces of the Laplacian; integral representations and irreducibility/ 20.A duality for symmetric spaces with applications to group representations II. Differential equations and eigenspace representations/ 21.A duality for symmetric spaces with applications to group representations III. Tangent space analysis/ 22.Invariant differential operators on Grassmann manifolds/ 23.Value-distribution theory for holomorphic almost periodic functions, The Harald Bohr Centenary (Copenhagen 1987)/ 24.The totally geodesic Radon transform on constant curvature spaces, Integral geometry and tomography (Arcata, 1989)/ 25.Some results on invariant differential operators on symmetric spaces/ 26.The flat horocycle transform for a symmetric space/ 27.Huygens- principle for wave equations on symmetric spaces/ 28.Radon transforms for double fibrations. Examples and viewpoints/ 29.Integral geometry and multitemporal wave equations/ 30.The Paley-Wiener space for the multitemporal wave equation/ 31.The Abel, Fourier and radon transforms on symmetric spaces/ 32.The inversion of the X-ray transform on a compact symmetric space/ Index/
* Sigurour Helgason is a leading expert in harmonic analysis and integral geometry on symmetric spaces. His work has had, and continues to have, a profound influence on the field. Helgason's work is marked by an interplay of analysis, geometry, and representation theory. *
Ludkovsky, S.
Quasi-invariant and Pseduo-Differentiable Measures in Banach Spaces
Nova Science Pub. 2009.8
(H)
ISBN 1-60692-734-5
21,200円
Contents
1. Real-valued measures/ 2. Non-Archimedean valued measures/ 3. Algebras of real measures on groups/ 4. Algebras of non-Archimedean measures on groups 202/ A. Operators in Banach spaces/ B. Non-Archimedean polyhedral expansions/ Index/ *
862-15 登録日 09.09.27
