Lars hrmander (2 Ergebnisse)

Paperback. Zustand: Very Good. The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen- tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen- eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume I, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.…

Paperback. Zustand: Very Good. This volume is an expanded version of Chapters I, IV, V and VI 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 Eh- renpreis 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 pre- cise 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 I. However, the constant coefficient theory has given the guidehnes for all that work. Although the field is no longer very active - perhaps because of its advanced state of development - and although it is pos- sible to pass directly from Volume I to Volume I, the material pre- sented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differen- tial equations.…