Ebook472 pages12 hours
Topological Vector Spaces, Distributions and Kernels: Pure and Applied Mathematics, Vol. 25
By François Treves and Samuel Eilenberg
Rating: 0 out of 5 stars
()
About this ebook
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.
Read more from François Treves
Basic Linear Partial Differential Equations Rating: 0 out of 5 stars0 ratings
Related to Topological Vector Spaces, Distributions and Kernels
Related ebooks
Mathematical Methods: Linear Algebra / Normed Spaces / Distributions / Integration Rating: 0 out of 5 stars0 ratingsBasic Methods of Linear Functional Analysis Rating: 0 out of 5 stars0 ratingsDifferential and Riemannian Geometry Rating: 0 out of 5 stars0 ratingsFunctional Analysis Rating: 4 out of 5 stars4/5Euclidean and Affine Transformations: Geometric Transformations Rating: 0 out of 5 stars0 ratingsLie Theory and Special Functions Rating: 0 out of 5 stars0 ratingsAn Elementary Course in Synthetic Projective Geometry Rating: 0 out of 5 stars0 ratingsLectures on Homotopy Theory Rating: 0 out of 5 stars0 ratingsDifferential Topology: First Steps Rating: 0 out of 5 stars0 ratingsLectures on Functional Equations and Their Applications Rating: 0 out of 5 stars0 ratingsAxiomatic Projective Geometry Rating: 2 out of 5 stars2/5NonEuclidean Geometry Rating: 0 out of 5 stars0 ratingsIntegral Geometry and Representation Theory Rating: 0 out of 5 stars0 ratingsUniform Fréchet Algebras Rating: 0 out of 5 stars0 ratingsDimension and Extensions Rating: 0 out of 5 stars0 ratingsModern Methods in Topological Vector Spaces Rating: 0 out of 5 stars0 ratingsApplied Nonstandard Analysis Rating: 3 out of 5 stars3/5Topological Vector Spaces, Distributions and Kernels Rating: 0 out of 5 stars0 ratingsIntroduction to Homological Algebra, 85 Rating: 4 out of 5 stars4/5Topological Spaces Rating: 0 out of 5 stars0 ratingsFundamentals of Advanced Mathematics V3 Rating: 0 out of 5 stars0 ratingsMeasure and Integration Theory on Infinite-Dimensional Spaces: Abstract harmonic analysis Rating: 0 out of 5 stars0 ratingsOperators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics Rating: 3 out of 5 stars3/5Entire Functions Rating: 0 out of 5 stars0 ratingsTopology and Its Applications Rating: 3 out of 5 stars3/5Einstein Spaces Rating: 0 out of 5 stars0 ratingsLectures on Measure and Integration Rating: 0 out of 5 stars0 ratingsThe Fundamentals of Mathematical Analysis Rating: 3 out of 5 stars3/5A Vector Approach To Oscillations Rating: 0 out of 5 stars0 ratingsTopics in Quaternion Linear Algebra Rating: 5 out of 5 stars5/5
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for Topological Vector Spaces, Distributions and Kernels
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Topological Vector Spaces, Distributions and Kernels - François Treves
Enjoying the preview?
Page 1 of 1