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Synopsis
The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced. It allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account will be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.
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Book Description
The theory of distributions has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. In this classic text the theory is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces; and in this second edition, the notion of the wavefront set of a distribution is introduced. This account will be useful to graduate students and research workers who are inetersted in the applications of analysis in mathematics and mathematical physics.
Review
"...a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." Bulletin of the London Mathematical Society
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- PublisherCambridge University Press
- Publication date1983
- ISBN 10 0521285917
- ISBN 13 9780521285919
- BindingPaperback
- LanguageEnglish
- Number of pages176
- Rating
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Introduction to the Theory of Distributions
Published by
Cambridge University Press, 1982
ISBN 10: 0521285917
ISBN 13: 9780521285919
Used
Soft cover
First Edition
Seller: El Gato de Papel, MOUNTAINSIDE, NJ, U.S.A.
Seller rating 5 out of 5 stars
Soft cover. Condition: Near Fine. 1st Edition. Condition: NEAR FINE. 1st edition, 1982. 157 pages. Faded covers. All pages clean. No markings, writings, stamps, or nameplates from previous ownership. Actual book is pictured. See images provided. Synopsis: The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. See images attached for Table of Contents. Seller Inventory # 231220
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Introduction to the Theory of Distributions
Published by
Cambridge University Press, Cambridge & London, 1982
ISBN 10: 0521285917
ISBN 13: 9780521285919
Used
Flexible covers
First Edition
Seller: Literary Cat Books, Machynlleth, Powys, WALES, United Kingdom
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Flexible covers. Condition: Good+. Dust Jacket Condition: No Dust Jacket. First Edition; First Impression. Slight wear to spine, covers and corner. Spine faded due to sun. ; Slight wear to spine, covers and corner. Spine faded due to sun. F. G. Friedlander's "Introduction to the Theory of Distributions" provides a comprehensive guide to distribution theory, a fundamental aspect of modern analysis and applied mathematics. The book covers essential concepts, including test functions, distributions, and their applications. It is known for its clarity, rigorous approach, and valuable insights, making it an essential resource for students and researchers in the field.; 22.8 x 15.5 x 1.1cm; (2) 157 pages. Seller Inventory # LCB61864
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Introduction to the theory of distributions
Published by
Cambridge University Press, Cambridge, 1982
ISBN 10: 0521285917
ISBN 13: 9780521285919
Used
Paperback
Seller: San Francisco Book Company, Paris, France
Seller rating 4 out of 5 stars
Paperback. Condition: Good. Paperback Octavo. wraps, 157 pp, cover lightly faded, creased at the top edge and worn at the bottom edge of back cover, spine sunned, endpapers toned and soiled, stickers to verso of front cover, pages lightly toned Standard shipping (no tracking or insurance) / Priority (with tracking) / Custom quote for large or heavy orders. Seller Inventory # 98568
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Introduction to the Theory of Distributions
Published by
Cambridge University Press, 1983
ISBN 10: 0521285917
ISBN 13: 9780521285919
Used
Softcover
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-K-018-01815
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