The Analysis of Linear Partial Differential Operators II
Differential Operators with Constant Coefficients
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Beschreibung
In this second volume (4 volume work), Lars Hörmander looks at 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. He then moves on to cover spectral theory of short range perturbations of operators with constant coefficients, and Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter presents a study of the closely related subject of convolution operators.
Autor*in
Lars Hörmander
Themen in »The Analysis of Linear Partial Differential Operators II«
Complex analysis Distribution Theory Linear Partial Differential Operators analytic function convolution distribution fourier analysis scattering theory partial differential equations
Stimmen zu »The Analysis of Linear Partial Differential Operators II«
From the reviews: "...these volumes are excellently written and make for greatly profitable reading. For years to come they will surely be a main reference for anyone wishing to study partial differential operators."-- MATHEMATICAL REVIEWS "This volume focuses on linear partial differential operators with constant coefficients … . Each chapter ends with notes on the literature, and there is a large bibliography. … The binding of this softcover reprint seems quite good … . Overall, it is great to have this book back at an affordable price. It really does deserve to be described as a classic." (Fernando Q. Gouvêa, MathDL, January, 2005)
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