### Topological Vector Spaces, Distributions and Kernels (Dover Books on Mathematics)

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Most of the basic classical results appear here.

## Topological Vector Spaces, Distributions and Kernels by François Trèves

There are exercises, several of which contain detailed information that will enable readers to reconstruct the proofs of some important results. Convert currency. Add to Basket.

Compare all 9 new copies. Book Description Condition: New. Seller Inventory n. More information about this seller Contact this seller. Book Description Dover Publishers. Condition: New. Brand New. Seller Inventory Book Description Dover Publications. Book Description Dover Publications, Book Description Dover Publications Inc. Language: English.

Brand new Book. Just my 2c: Being a student with a limited mathematical education, I used V. Vladimirov's Generalized Functions in Mathematical Physics Mir Moscow and it was not as hard as I expected it to be - Vladimirov was rigorous and pedantic, as a book in mathematics should be, but not too complicated in explaining the concepts. Lieb and Loss, "Analysis" quickly starts with measure theory and after a short break with Fourier transforms, gets on to Distributions.

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I would imagine this is the fastest way to learn distributions. If you want a comparatively elementary approach to distribustion theory with applications to integral equations and difference equation no books come close to Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications by A H Zemanian. Check this out. I liked Functional Analysis by Kosaku Yosida. It is book on functional analysis but oriented to get the applications of it to differential equations.

## Topological Vector Spaces, Distributions and Kernels

I agree with Johannes's comment, but despite this, one book that might fit your criteria is Theory of distributions by M. I haven't looked at it for some months, but it made the following standard texts more accessible:. A book that I haven't looked at thoroughly, but you might find interesting, is Guide to Distribution theory and Fourier transforms by Robert S. I once took a class with the author, whose verbal explanatory style is complete and who is also a clear writer. Two very readable, wide ranging and well motivated accounts are "Generalised Functions and Partial Differential Equations" by Georgi E.

Both are unfortunately out of print and I keep hoping Dover will pick them up so I can recommend them. The title sounds more general than it actually is--really is focused on distributions, and their applications. Schwartz says in the preface: 'This work is concerned with the mathematical methods of physics'. There's the book by Ian Richard and Heekyung Youn.

It describes itself as a "non-technical introduction", which apparently means you don't need to know measure theory, topology, or functional analysis. Nonetheless you do need to think more like a mathematician than a physicist or the like in order to appreciate their approach. Home Questions Tags Users Unanswered. Good books on theory of distributions Ask Question.

If you want to do something else with them, perhaps you should say what exactly this is. Friedlander's Introduction to the Theory of Distributions? The problem is your qualifier "gentle" If so, what are they lacking?

At least several of the ones recommended in that thread does not have too much of a PDE bias or that they hide it very well. I have one recommendation that I think isn't included in the responses to it, which I posted below. I'm still a bit new here, so I'm not sure how things are run. Shall I delete my answer here and post it over there? Sify, I don't want to do this prematurely since it might inconvenience you. Might there be a difference between the two questions? The Mathemagician. A very good book.

It's really beautiful and readable, even for a non-analyist like me. Hence,the maximal generality was sought in the exposition. Average Review. Write a Review. Related Searches. This up-to-date introductory treatment employs the language of category theory to explore the theory of This up-to-date introductory treatment employs the language of category theory to explore the theory of structures.

Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases. A systematic view of factorization View Product. Areopagitica and Other Prose Works.

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