The theory of distributions is an extension of classical analysis which 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. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book, first published in 1999, adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces.
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'... a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss.' Review of the first edition in Bulletin of the London Mathematical Society
In this classic graduate text, first published in 1999, the theory of distributions is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces; and also in this edition, the notion of the wavefront set of a distribution is introduced.
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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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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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