|ISBN:||3540269649 9783540269649 9783540225164 3540225161|
|注意：||"Reprint of the 1983 Edition."|
|描述：||1 online resource.|
|叢書名：||Classics in mathematics.|
|其他題名：||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.