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The Analysis of Linear Partial Differential Operators: Differential Operators with Constant Coefficients (Grundlehren der mathematischen Wissenschaften) (v. 2)

✍ Scribed by Lars Hörmander

Publisher
Springer
Year
2004
Tongue
English
Leaves
201
Series
Grundlehren der mathematischen Wissenschaften v. 2
Category
Library
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✦ Synopsis

Vol. I of Lars Hörmander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators.

The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

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