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TitleMathematical Analysis [electronic resource] / edited by R. V. Gamkrelidze
ImprintBoston, MA : Springer US : Imprint: Springer, 1971
Connect tohttp://dx.doi.org/10.1007/978-1-4757-1589-7
Descript VIII, 109 p. online resource

SUMMARY

The present book contains three articles: "Systems of Linear Differential Equations," by V. P. Palamodov; "Fredholm Operators and Their Generalizations," by S. N. Krachkovskii and A. S. Diยญ kanskii; and "Representations of Groups and Algebras in Spaces with an Indefinite Metric" by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the systems from the scalar case. Considerable space is devoted in particular to "nonquadratic systems," a topic that has very recently stimulated interest. The second article is devoted to the algebraic aspects of the theory of operators (determinant theory in particular) in Banach and linear topological spaces. The third article reflects the present state of the art in the given area of the theory of representations, which has been reยญ ceiving considerable attention in connection with its applications in physics (particularly in quantum field theory) and in the theory of differential equations


CONTENT

Systems of Linear Differential Equations -- Fredholm Operators and Their Generalizations -- Representations of Groups and Algebras in Spaces with Indefinite Metric


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis Mathematics general



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