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Topological Vector Spaces, Distributions and Kernels.

Topological vector spaces, distributions and kernels.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Treves, Francois
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Burlington : Elsevier, 1967.
Edición:2nd ed.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 9780080873374  |q (electronic bk.) 
020 |a 0080873375  |q (electronic bk.) 
029 1 |a AU@  |b 000062585594 
029 1 |a AU@  |b 000069423214 
035 |a (OCoLC)476223607 
050 4 |a QA321 .T74 2006 
082 0 4 |a 515 
049 |a UAMI 
100 1 |a Treves, Francois. 
245 1 0 |a Topological Vector Spaces, Distributions and Kernels. 
250 |a 2nd ed. 
260 |a Burlington :  |b Elsevier,  |c 1967. 
300 |a 1 online resource (583 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
520 |a Topological vector spaces, distributions and kernels. 
588 0 |a Print version record. 
505 0 |a Front Cover -- Topological Vector Spaces, Distributions and Kernels -- Copyright Page -- Contents -- Preface -- Part I: Topological Vector Spaces. Spaces of Functions -- Chapter 1. Filters. Topological Spaces. Continuous Mappings -- Chapter 2. Vector Spaces. Linear Mappings -- Chapter 3. Topological Vector Spaces. Definition -- Chapter 4. Hausdorff Topological Vector Spaces. Quotient Topological Vector Spaces. Continuous Linear Mappings -- Hausdorff Topological Vector Spaces -- Quotient Topological Vector Spaces -- Continuous Linear Mappings. 
505 8 |a Chapter 5. Cauchy Filters. Complete Subsets. Completion -- Chapter 6. Compact Sets -- Chapter 7. Locally Convex Spaces. Seminorms -- Chapter 8. Metrizable Topological Vector Spaces -- Chapter 9. Finite Dimensional Hausdorff Topological Vector Spaces. Linear Subspaces with Finite Codimension. Hyperplanes -- Chapter 10. Fréchet Spaces. Examples -- Example I. The Space of ℓk Functions in an Open Subset of Rn -- Example II. The Space of Holomorphic Functions in an Open Subset of Cn -- Example III. The Space of Formal Power Series in n Indeterminates. 
505 8 |a Example IV. The Space e of e Functions in Rn Rapidly Decreasing at Infinity -- Chapter 11. Normable Spaces. Banach Spaces. Examples. -- Chapter 12. Hilbert Spaces -- Chapter 13. Spaces LF. Examples -- Chapter 14. Bounded Sets -- Chapter 15. Approximation Procedures in Spaces of Functions -- Chapter 16. Partitions of Unity -- Chapter 17. The Open Mapping Theorem -- Part II: Duality. Spaces of Distributions -- Chapter 18. The Hahn-Banach Theorem -- (1) Problems of Approximation -- (2) Problems of Existence -- (3) Problems of Separation -- Chapter 19. Topologies on the Dual. 
505 8 |a Chapter 20. Examples of Duals among Lp Spaces -- Example I. The Duals of the Spaces of Sequences lp(1 {600} p <+) -- Example II. The Duals of the Spaces Lp() (1 {600} p <+) -- Chapter 21. Radon Measures. Distributions -- Radon Measures in an Open Subset of Rn -- Distributions in an Open Subset of Rn -- Chapter 22. More Duals: Polynomials and Formal Power Series. Analytic Functionals -- Polynomials and Formal Power Series -- Analytic Functionals in an Open Subset of Cn -- Chapter 23. Transpose of a Continuous Linear Map -- Example I. Injections of Duals. 
505 8 |a Example II. Restrictions and Extensions -- Example III. Differential Operators -- Chapter 24. Support and Structure of a Distribution -- Distributions with Support at the Origin -- Chapter 25. Example of Transpose: Fourier Transformation of Tempered Distributions -- Chapter 26. Convolution of Functions -- Chapter 27. Example of Transpose: Convolution of Distributions -- Chapter 28. Approximation of Distributions by Cutting and Regularizing -- Chapter 29. Fourier Transforms of Distributions with Compact Support The Paley-Wiener Theorem. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Functional analysis. 
650 0 |a Linear topological spaces. 
650 6 |a Analyse fonctionnelle. 
650 6 |a Espaces vectoriels topologiques. 
650 7 |a Functional analysis  |2 fast 
650 7 |a Linear topological spaces  |2 fast 
776 1 |z 9780126994506 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=405598  |z Texto completo 
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994 |a 92  |b IZTAP