Titchmarsh Е.С. Eigenfunction expansions associated with second-order differential equations. Part one

Second ed. — Oxford: Clarendon Press, 1969. — 202 p.The subject of this book is the expansion of an arbitrary function in terms of the solution of a given second-order ordinary differential equation. The theory is of importance in quantum mechanics, and this has given rise to many recent developments of it. Nevertheless the book is primarily an exercise in pure mathematics. The ground covered is the same as in the first edition, but many improvements have been made in the analysis since 1945, and as far as possible these have been incorporated in the new edition. The latter part of the book has been completely rewritten.Перевод на русский язык. Титчмарш Э.Ч. Разложения по собственным функциям, связанные с дифференциальными уравнениями второго порядка. Том 1. /file/386483/