Author | Antonevich, Anatolij. author |
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Title | Linear Functional Equations. Operator Approach [electronic resource] / by Anatolij Antonevich |
Imprint | Basel : Birkhรคuser Basel, 1996 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8977-3 |
Descript | VIII, 183 p. online resource |
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