Topological Vector Spaces, Distributions and Kernels PDF Download
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Author: Francois Treves
Publisher: Courier Corporation
ISBN: 0486453529
Category : Mathematics
Languages : en
Pages : 594
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Book Description
Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.
Author: Francois Treves
Publisher: Courier Corporation
ISBN: 0486453529
Category : Mathematics
Languages : en
Pages : 594
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Book Description
Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.
Author:
Publisher: Academic Press
ISBN: 0080873375
Category : Mathematics
Languages : en
Pages : 583
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Book Description
Topological Vector Spaces, Distributions and Kernels
Author: John Horvath
Publisher: Courier Corporation
ISBN: 0486311031
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.
Author: François Treves
Publisher: Elsevier
ISBN: 1483223620
Category : Mathematics
Languages : en
Pages : 582
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Book Description
Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486493539
Category : Mathematics
Languages : en
Pages : 324
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Book Description
"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 565
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Book Description
Author: François Trèves
Publisher:
ISBN:
Category :
Languages : en
Pages : 565
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Book Description
Author: François Treves
Publisher: Academic Press
ISBN: 0080880258
Category : Mathematics
Languages : en
Pages : 493
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Book Description
Basic Linear Partial Differential Equations
Author: F. G. Friedlander
Publisher: Cambridge University Press
ISBN: 9780521649711
Category : Mathematics
Languages : en
Pages : 192
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Book Description
The second edition of a classic graduate text on the theory of distributions.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644423
Category : Mathematics
Languages : en
Pages : 484
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Book Description
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician
