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Titlebook: Mathematical Analysis; R. V. Gamkrelidze Book 1971 Springer Science+Business Media New York 1971 algebra.calculus.differential equation.eq

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发表于 2025-3-21 17:14:28 | 显示全部楼层 |阅读模式
书目名称Mathematical Analysis
编辑R. V. Gamkrelidze
视频video
丛书名称Progress in Mathematics
图书封面Titlebook: Mathematical Analysis;  R. V. Gamkrelidze Book 1971 Springer Science+Business Media New York 1971 algebra.calculus.differential equation.eq
描述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. Di­ 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 re­ ceiving considerable attention in connection with its applications in physics (particularly in quantum field theory) and in the theory of differential equations.
出版日期Book 1971
关键词algebra; calculus; differential equation; equation; Mathematica; mathematical analysis
版次1
doihttps://doi.org/10.1007/978-1-4757-1589-7
isbn_softcover978-1-4757-1591-0
isbn_ebook978-1-4757-1589-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 1971
The information of publication is updating

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发表于 2025-3-21 20:53:23 | 显示全部楼层
V. P. Palamodovgresses, in der er die Grundzüge einer Friedensordnung für die Zeit nach dem Ende des Kriegs vorstellte. Gegenstand der Rede war das sogenannte 14-Punkte-Programm. Herausragende Bedeutung gewannen zwei Vorschläge: Zum einen sollte mit der Gründung eines Völkerbundes („League of Nations“) eine Instit
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0743-1643 ralizations," by S. N. Krachkovskii and A. S. Di­ 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 sy
发表于 2025-3-23 03:40:30 | 显示全部楼层
Fredholm Operators and Their Generalizations, § 3 the analogous problems in locally-convex and locally-bounded topological vector spaces are discussed. Finally, § 4 is given over to the abstract determinant theory of Fredholm. The problem area associated with the topological aspects of the theory (in the sense of K-theory [7], etc.) are not covered in the present review.
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