American Mathematical Society TranslationsSeries 2 1992; 176 pp; hardcover Volume: 150 ISBN10: 0821875000 ISBN13: 9780821875001 List Price: US$137 Member Price: US$109.60 Order Code: TRANS2/150
 Containing the proceedings of the Fourteenth School on Operators in Functional Spaces, held in Novgorod, USSR, in the summer of 1989, this volume focuses on the spectral theory of differential operators. The emphasis is on estimates of the number of negative eigenvalues of elliptic differential operators and on the analysis of asymptotical distribution of eigenvalues. Three of the papers discuss distribution of eigenvalues, while the fourth studies scattering theory. The authors rank among the leading Soviet specialists in this area of research. Aimed at researchers in spectral theory of differential operators, scattering theory, and related problems in mathematical physics, this collection provides an excellent overview of some of the major problems in the field. Table of Contents  M. S. Birman and M. Z. Solomyak  Schrödinger operator. Estimates for the number of bound states as a functiontheoretical problem
 D. G. Vasil'ev and Yu. G. Safarov  Asymptotic distribution of eigenvalues of differential operators
 Yu. V. Egorov and V. A. Kondrat'ev  Estimates of the negative spectrum of an elliptic operator
 Yu. A. Kuperin and S. O. Merkur'ev  Selfadjoint extensions and scattering theory for severalbody systems
