Linear Functional Equations. Operator Approach

Author:   Anatolij Antonevich
Publisher:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   83
ISBN:  

9783034898515


Pages:   183
Publication Date:   17 September 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Linear Functional Equations. Operator Approach


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Author:   Anatolij Antonevich
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   83
Dimensions:   Width: 17.00cm , Height: 1.00cm , Length: 24.40cm
Weight:   0.454kg
ISBN:  

9783034898515


ISBN 10:   3034898517
Pages:   183
Publication Date:   17 September 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

0. Introductory Material.- 1. Functional Operators.- 1. Weighted Shift Operators. Boundedness Conditions.- 2. The Operator Approach. Model Examples.- 3. Discussion of the Model Examples Discontinuity of the Spectral Radius.- 4. Operators Generated by a Finite Transformation Group.- 5. Spectral Radius of a Weighted Shift Operator.- 2. Banach Algebras Generated by Functional Operators.- 6. Extension of Operator Algebras by Operators that Generate Automorphisms.- 7. The Isomorphism Theorem for C* -Algebras Generated by Dynamical Systems.- 8. Corollaries of the Isomorphism Theorem.- 3. Invertibility Conditions for Functional Operators. L2-Theory.- 9. Characterization of Invertible Operators by Means of Hyperbolic Linear Extensions.- 10. Discretization as an Orbital Approach to Study Invertibility.- 11. Operators with a Convex Rationally Independent System of Shifts.- 12. Algebras of Type C*(A, G, Tg) in the Case of an Arbitrary Group Action.- 4. Functional Operators in Some Special Function Spaces.- 13. Weighted Shift Operators in Spaces of Smooth Functions.- 14. Functional Equations in a Space of Periodic Distributions.- 5. Applications to Some Classes of Equations and Boundary Value Problems.- 15. Functional-Differential Equations of Neutral Type.- 16. The Symbol of a Functional-Partial Differential Operator.- 17. Nonlocal Boundary Value Problems for Elliptic Equations.- 18. Equations with Periodic and Almost Periodic Coefficients.- 19. Boundary Value Problems with Data on the Entire Boundary for the Equation of a Vibrating String.- 20. Index Formulas.- Comments and Bibliographic Information.- References.

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