The analysis of linear partial differential operators II : differential operators with constant coefficients
Vol. I of Lars Hormander'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.
"Vol. I of Lars Hormander'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."@en
"Vol. I of Lars Hörmander's 4-volume treatisewas 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 operatorswith 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. TOC:Introduction.- Existence and Approximation of Solutions of Differential Equations.- Interior Regularity of Solutions of Differential Equations.- The Cauchy and Mixed Problems.- Differential Operators of Constant Strength.- Scattering Theory.- Analytic Function Theory and Differential Equations.- Convolution Equations.- Appendix A: Some Algebraic Lemmas.- Bibliography.- Index.- Index of Notation"
"The analysis of linear partial differential operators. Vol. II, Differential operators with constant coefficients"
"The analysis of linear partial differential operators II : differential operators with constant coefficients"@en
"The analysis of linear partial differential operators II : differential operators with constant coefficients"
"The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis"
"The analysis of linear partial differential operators II"@en
"The analysis of linear partial differential operators II, Differential operators with constant coefficients / Lars Hörmander"
"The analysis of linear partial differential operators / 2, Differential operators with constant coefficients"@en
"The analysis of linear partial differential operators / 2, Differential operators with constant coefficients"
"The analysis of linear partial differential operators : mit besonderer Berücksichtigung der Anwendungsgebiete / 2 Differential operators with constant coefficients"
"The analysis of linear partial differential operators"
"The Analysis of linear partial differential operators II : differential operators with constant coefficients"
"The Analysis of linear partial differential operators. II, Differential operators with constant coefficients"
"The Analysis of Linear Partial Differential Operators II : differential operators with constants coefficients"
"The analysis of linear partial differential operators. II, Differential operators with constant coefficients"@en
"The analysis of linear partial differential operators. II, Differential operators with constant coefficients"
"The analysis of linear partial differential operators. II, differential operators with constant coefficients"
"The analysis of linear partial differential operators. 2, Differential operators with constant coefficients"@en
"The analysis of linear partial differential operators. 2, Differential operators with constant coefficients"
"The analysis of linear partial differential operators. vol.2, Differential operators with constant coefficients"
"The analysis of linear partial differential operators 2. Differential operators with constant coefficients"
"The analysis of linear partial differential operators / 2. Differential operators with constant coefficients"
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