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The analysis of partial differential operators

From the reviews: "Volumes III and IV complete L. Hrmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brning in Zentralblatt MATH, 1987.

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  • "Differential operators with constant coefficients"
  • "Fourier integral operators"@en
  • "Fourier integral operators"
  • "Distribution theory and Fourier analysis"
  • "Distribution theory and fourier analysis"
  • "Linear partial differential operators"
  • "Linear partial differential operators"@en
  • "Pseudo-differential operators"

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  • "From the reviews: "Volumes III and IV complete L. Hrmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brning in Zentralblatt MATH, 1987."@en
  • "In 1963 my book entitled "Linear partial differential operators" was published in the Grundlehren series. Some parts of it have aged well but others have been made obsolete for quite some time by techniques using pseudo-differential and Fourier integral operators. The rapid de velopment has made it difficult to bring the book up to date. Howev er, the new methods seem to have matured enough now to make an attempt worth while. The progress in the theory of linear partial differential equations during the past 30 years owes much to the theory of distributions created by Laurent Schwartz at the end of the 1940's. It summed up a great deal of the experience accumulated in the study of partial differ ential equations up to that time, and it has provided an ideal frame work for later developments. "Linear partial differential operators" be gan with a brief summary of distribution theory for this was still un familiar to many analysts 20 years ago. The presentation then pro ceeded directly to the most general results available on partial differ ential operators. Thus the reader was expected to have some prior fa miliarity with the classical theory although it was not appealed to ex plicitly. Today it may no longer be necessary to include basic distribu tion theory but it does not seem reasonable to assume a classical background in the theory of partial differential equations since mod ern treatments are rare."@en

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  • "Electronic books"
  • "Electronic books"@en

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  • "The analysis of partial differential operators"@en
  • "Distribution theory and fourier analysis"
  • "The analysis of linear partial differential operators : mit besonderer Berücksichtigung der Anwendungsgebiete / 1 Distribution theory and Fourier analysis"
  • "The analysis of linear partial differential operators"@en
  • "The analysis of linear partial differential operators"
  • "The analysis of linear partial differential operators. 1, Distribution theory and Fourier analysis"
  • "The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis"
  • "The Analysis of Linear Partial Differential Operators I : distribution theory and Fourier analysis"
  • "Analysis of linear partial differential operators I :distribution theory and fourier analysis"
  • "The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis"
  • "The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis"@en
  • "Distribution theory and Fourier analysis. 1"
  • "The analysis of linear partial differential operators. I"
  • "The analysis of linear partial differential operators I : distribution theory and Fourier analysis"
  • "The analysis of linear partial differential operators / 1. Distribution theory and Fourier analysis"
  • "The Analysis of linear partial differential operators"
  • "The analysis of linear partial differential operators / 1, Distribution theory and Fourier analysis"
  • "Analysis of linear partial differential operators i : distribution theory and fourier analysis"
  • "The analysis of linear partial differential operators. I, Distribution theory and Fourier analysis"@en
  • "The Analysis of Linear Partial Differential Operators : Vol.: 1. : Distribution Theory and Fourier Analysis"
  • "Distribution theory and Fourier analysis"
  • "Distribution theory and Fourier analysis. vol. 1"
  • "The analysis of linear partial differential operators / [Vol.] 1, Distribution theory and Fourier analysis"@en
  • "The analysis of linear partial differential operators / 1, Distribution theory and Fournier analysis"
  • "The Analysis of linear partial differential operators I : distribution theory and fourier analysis"
  • "The analysis of linear partial differential operators. 1., Distribution theory and Fourier analysis"
  • "The analysis of linear partial differential operators. Vol. I, Distribution theory and Fourier analysis"

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