Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space. The problem that is investigated is the question of the dependence of the nature of the solvability of a given equation on the way in which the boundary conditions are chosen, i.e. on the supplementary requirements which the solution is to satisfy on specified parts of the boundary. The branch of mathematical analysis dealing with the study of boundary value problems for partial...
Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ entia...
This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI 1], voi. III, chap. 19) and in TRUESDELL 1]. On the other hand, a problem of fundamental interest in classical...
This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus r...
