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＜電子ブック＞
The Analysis of Linear Partial Differential Operators II : Differential Operators with Constant Coefficients / by Lars Hörmander
(Classics in Mathematics. ISSN:25125257)

版	1st ed. 2005.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	XI, 395 p : online resource
著者標目	*Hörmander, Lars author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Operator theory LCSH:Fourier analysis LCSH:Functions of complex variables LCSH:Numerical analysis FREE:Differential Equations FREE:Operator Theory FREE:Fourier Analysis FREE:Several Complex Variables and Analytic Spaces FREE:Numerical Analysis
一般注記	This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory of analytic functions of several complex variables. The latter is somewhat limited in scope though since it seems superfluous to duplicate the monographs by Ehrenpreis and by Palamodov on this subject. The reader is assumed to be familiar with distribution theory as presented in Volume I. Most topics discussed here have in fact been encountered in Volume I in special cases, which should provide the necessary motivation and background for a more systematic and precise exposition. The main technical tool in this volume is the Fourier- Laplace transformation. More powerful methods for the study of operators with variable coefficients will be developed in Volume III. However, constant coefficient theory has given the guidance for all that work. Although the field is no longer very active - perhaps because of its advanced state of development - and although it is possible to pass directly from Volume I to Volume III, the material presented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differen­tial equations HTTP:URL=https://doi.org/10.1007/b138375

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