When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis.
The importance of convexity arguments in functional analysis has long been realized, but a comprehensive theory of infinite-dimensional convex sets has hardly existed for more than a decade.
The present book deals with the construction of solutions of linear partial differential equations by means of integral operators which transform analytic functions of a complex variable into such solutions.
The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris.
a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set).
Infinite series, and their analogues-integral representations, became funda-mental tools in mathematical analysis, starting in the second half of the seven-teenth century.
Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations.
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great- est common divisor at least three centuries B.
This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas.
This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition.
This book is motivated largely by a desire to solve shape optimization prob- lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems.
Advances in microelectronic technology have made massivelyparallel computing a reality and triggered an outburst ofresearch activity in parallel processing architectures andalgorithms.
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives.
In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients.
The numerical solution of stochastic differential equations is becoming an in- dispensible worktool in a multitude of disciplines, bridging a long-standing gap between the well advanced theory of stochastic differential equations and its application to specific examples.
Die vorliegende Darstellung der klassischen Funktionentheorie ist aus Nachschriften, die wir seit geraumer Zeit von unseren Vorlesungen anfertigen ließen, entstanden.
Das vorliegende Buch behandelt Anfangswertprobleme, die bei partiellen Differentialgleichungen und Differentialgleichungssystemen vom hyperbolischen Typus auftreten.
