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Titlebook: Orthogonal Systems and Convolution Operators; Robert L. Ellis,Israel Gohberg Book 2003 Springer Basel AG 2003 C*-algebra.Operator theory.c

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發(fā)表于 2025-3-21 17:03:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Orthogonal Systems and Convolution Operators
編輯Robert L. Ellis,Israel Gohberg
視頻videohttp://file.papertrans.cn/705/704714/704714.mp4
叢書名稱Operator Theory: Advances and Applications
圖書封面Titlebook: Orthogonal Systems and Convolution Operators;  Robert L. Ellis,Israel Gohberg Book 2003 Springer Basel AG 2003 C*-algebra.Operator theory.c
描述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 highly appreciated. Introduction The starting point ofthis book is a study ofthe orthogonal polynomials {qn In ?: O} obtained by orthogonalizing the power functions I, Z, z2, ... on the unit circle. The orthogonality is with respect to the scalar product defined by where the weight w is a positive integrable function on the unit circle. These ortho- gonal polynomials are called the Szego polynomials associated with the weight w.
出版日期Book 2003
關(guān)鍵詞C*-algebra; Operator theory; convolution; distribution; orthogonal polynomials
版次1
doihttps://doi.org/10.1007/978-3-0348-8045-9
isbn_softcover978-3-0348-9418-0
isbn_ebook978-3-0348-8045-9Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 2003
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發(fā)表于 2025-3-21 20:29:42 | 只看該作者
,Orthogonal Polynomials and Krein’s Theorem, the scalar product in (0.2) are polynomials, called the Szeg? polynomials corresponding to the weight function ω. Szeg? ‘s proved that these polynomials have all their zeros in the open unit disk. This result, which we refer to as Szeg? ‘s Theorem, is proved in Section 1.1.
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0255-0156 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 U
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uch systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic..This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Exam
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