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Collected papers

Author: Izrail M Gelfand; S G Gindikin; et al
Publisher: Berlin : Springer, cop. 1987-89
Edition/Format:   book_printbook : EnglishView all editions and formats

I. M. Gelfand, one of the leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including  Read more...


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Document Type: Book
All Authors / Contributors: Izrail M Gelfand; S G Gindikin; et al
ISBN: 3540136193 9783540136194 0387136193 9780387136196 354019035X 9783540190356 038719035X 9780387190358 3540193995 9783540193999 0387193995 9780387193991
OCLC Number: 476217216
Description: 3 bd. (883+1039+1075 s.), tav. : ill.
Contents: I. Survey lectures and articles of general content.- 1. Some aspects of functional analysis and algebra.- 2. On some problems of functional analysis.- 3. Some questions of analysis and differential equations.- 4. Integral geometry and its relation to the theory of group representations.- 5. On elliptic equations.- 6. Automorphic functions and the theory of representations.- 7. The cohomology of infinite dimensional Lie algebras; some questions of integral geometry.- II. Banach spaces and normed rings.- 1. Sur un lemme de la theorie des espaces lineaires.- 2. Abstrakte Funktionen und lineare Operatoren.- 3. On one-parametrical groups of operators in a normed space.- 4. On normed rings.- 5. To the theory of normed rings. II. On absolutely convergent trigonometrical series and integrals.- 6. To the theory of normed rings. III. On the ring of almost periodic functions.- 7. On the theory of characters of commutative topological groups.- 8. Normierte Ringe.- 9. Uber verschiedene Methoden der Einfuhrung der Topologie in die Menge der maximalen Ideale eines normierten Ringes.- 10. Ideale und primare Ideale in normierten Ringen.- 11. Zur Theorie der Charaktere der Abelschen topologischen Gruppen.- 12. Uber absolut konvergente trigonometrische Reihen und Integrale.- 13. On the imbedding of normed rings into the ring of operators in Hilbert space.- 14. Commutative normed rings.- 15. Normed rings with an involution and their representations.- III. Differential equations and mathematical physics.- 1. Eigenfunction expansions for equations with periodic coefficients.- 2. On the determination of a differential equation from its spectral function.- 3. On a simple identity for eigenvalues of second order differential operator.- 4. Solution of quantum field equations.- 5. On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients.- 6. Eigenfunction expansions for differential and other operators.- 7. On identities for eigenvalues of a second order differential operator.- 8. Some problems in the theory of quasilinear equations.- 9. On a theorem of Poincare.- 10. Fractional powers of operators and Hamiltonian systems.- 11. A family of Hamiltonian structures related to nonlinear integrable differential equations.- 12. Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations.- 13. The resolvent and Hamiltonian systems.- 14. Integrable nonlinear equations and the Liouville theorem.- 15. Hamiltonian operators and algebraic structures related to them.- 16. The Schouten bracket and Hamiltonian operators.- 17. Hamiltonian operators and the classical Yang-Baxter equation.- Essays in honour of Izrail M. Gelfand.- On his fiftieth birthday.- On his sixtieth birthday.- On his seventieth birthday.- Some remarks on I.M. Gelfand's works.- Some remarks on I.M. Gelfand's works.- Tentative table of contents for volumes II and III.- Acknowledgements.
Responsibility: Izrail M. Gelfand ; ed. by S.G. Gindikin ... [et al.]
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