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The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M. G. Krein, was a far-reaching generalization of G. Szeg??'s result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules over...

In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. The impetus for our research was a deep theorem due to M.G. Krein along with subsequent results of Krein and H. Langer. Together with our colleagues, we have worked in this area for nearly fifteen years, and the results of our research are presented here in unified form. We are grateful to the Department of mathematics at the University of Maryland in College Park and to Tel-Aviv University for their support and encouragement. The support of the Silver Family Foundation is also...

An exciting new volume in the Technology, Innovation, Entrepreneurship and Competitive Strategy series from Emerald's popular Strategy collection. This volume features excellent new research devoted to advancing our understanding of how networks foster creativity, innovation and the development of cutting-edge technologies. Contributions offer unique perspectives on the significance of networks to the financial success of businesses, in addition to giving examples of how these can be crucial in bringing about creativity and innovation. It deals with the evolution of networks through...