The Leading eBooks Store Online
for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, BlackBerry ...
The Technique of Pseudodifferential Operators
Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Lie-group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution and the relation of the hyperbolic theory to the propagation of maximal ideals. This book will be of particular interest to researchers in partial differential equations and mathematical physics.
IB Mathematics Standard Level 2012 US$ 58.80 800 pages
IB Mathematics Higher Level 2012 US$ 67.20 832 pages
IB Mathematical Studies Standard 2012 US$ 53.60 624 pages
Cambridge IGCSE Mathematics Core and Extended Coursebook with CD-ROM 2012 US$ 27.00 890 pages