000			02326nam a22002417a 4500
008			240829b 2003|||||||| |||| 00| 0 eng d
020			_a9783540006626 (PB)
041			_aeng
080			_a517.956 _bHOR
100			_aHormander, Lars
245			_aThe Analysis of Linear Partial Differential Operators I _b: Distribution Theory and Fourier Analysis
250			_a2nd ed.
260			_aHeidelberg _bSpringer _c2003
300			_aXI, 440p.
490			_aClassics in mathematics
504			_aIncludes Bibilography (420-436) and Indexes
505			_aI. Test Functions Summary II. Definition and Basic Properties of Distributions III. Differentiation and Multiplication by Functions IV. Convolution V. Distributions in Product Spaces VI. Composition with Smooth Maps VII. The Fourier Transformation Laplace Transforms VIII. Spectral Analysis of Singularities IX. Hyperfunctions
520			_aThe 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 differen­tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen­eral 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 II, 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
650			_aAnalysis
650			_aApplied Mathematics
690			_aMathematics
942			_cBK
999			_c60611 _d60611