The
Analysis of Linear Partial Differential Operators II
Differential Operators with Constant Coefficients
Hörmander, Lars.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
gw
2005
monographic
eng
access
XI, 395 p. online resource.
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.
by Lars Hörmander.
Differential equations, partial
Operator theory
Fourier analysis
Numerical analysis
Partial Differential Equations
Operator Theory
Fourier Analysis
Several Complex Variables and Analytic Spaces
Numerical Analysis
QA370-380
515.353
Springer eBooks
Classics in Mathematics
9783540269649
https://doi.org/10.1007/b138375
https://doi.org/10.1007/b138375
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20181203160146.0
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