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From the reviews: Volumes III and IV complete L. Hormander'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. Bruning in Zentralblatt MATH, 1987.

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9783540499381

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From the reviews: With the basic theory of distributions and Fourier analysis set down, volume II proceeds deeper into the study of linear PDE, particularly with constant coefficients. Detailed analysis is made of the regularity of certain fundamental solutions of general constant coefficient operators P(D), including a classification of when P(D) is hypoelliptic. American Mathematical Monthly#1 The books are very careful written. They give a good introduction into the areas considered. The reviewer's opinion is that L. HArmanders books will be a basis for studying differential equations for a long time. ZAMM#2

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