TY - BOOK
AU - HĂ¶rmander,Lars
ED - SpringerLink (Online service)
TI - The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
T2 - Classics in Mathematics,
SN - 9783540269649
AV - QA370-380
U1 - 515.353 23
PY - 2005///
CY - Berlin, Heidelberg
PB - Springer Berlin Heidelberg, Imprint: Springer
KW - Differential equations, partial
KW - Operator theory
KW - Fourier analysis
KW - Numerical analysis
KW - Partial Differential Equations
KW - Operator Theory
KW - Fourier Analysis
KW - Several Complex Variables and Analytic Spaces
KW - Numerical Analysis
N2 - 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 differenÂtial equations
UR - https://doi.org/10.1007/b138375
ER -