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Introduction to the Theory of Distributions 2nd Edition Paperback - Softcover

 
9780521649711: Introduction to the Theory of Distributions 2nd Edition Paperback
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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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'... 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
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In this new edition of a classic graduate text 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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  • VerlagCambridge University Press
  • Erscheinungsdatum2008
  • ISBN 10 0521649714
  • ISBN 13 9780521649711
  • EinbandTapa blanda
  • Auflage2
  • Anzahl der Seiten188
  • Bewertung

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ISBN 10: 0521649714 ISBN 13: 9780521649711
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780521649711

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