From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory write by Fritz Gesztesy. This book was released on 2021-11-11. From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory available in PDF, EPUB and Kindle. The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.
Orthogonal Polynomials
Orthogonal Polynomials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orthogonal Polynomials write by Paul Nevai. This book was released on 2012-12-06. Orthogonal Polynomials available in PDF, EPUB and Kindle. This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations.
Orthogonal Polynomials on the Unit Circle: Spectral theory
Orthogonal Polynomials on the Unit Circle: Spectral theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orthogonal Polynomials on the Unit Circle: Spectral theory write by Barry Simon. This book was released on 2005. Orthogonal Polynomials on the Unit Circle: Spectral theory available in PDF, EPUB and Kindle. Presents an overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. This book discusses topics such as asymptotics of Toeplitz determinants (Szego's theorems), and limit theorems for the density of the zeros of orthogonal polynomials.
Symmetric Functions and Combinatorial Operators on Polynomials
Symmetric Functions and Combinatorial Operators on Polynomials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetric Functions and Combinatorial Operators on Polynomials write by Alain Lascoux. This book was released on 2003. Symmetric Functions and Combinatorial Operators on Polynomials available in PDF, EPUB and Kindle. The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With $\lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $\lambda$-rings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Pade approximants, and orthogonal polynomials. Putting the emphasis on the symmetric group instead of symmetric functions, one can extend the theory to non-symmetric polynomials, with Schur functions being replaced by Schubert polynomials. In two independent chapters, the author describes the main properties of these polynomials, following either the approach of Newton and interpolation methods, or the method of Cauchy and the diagonalization of a kernel generalizing the resultant. The last chapter sketches a non-commutative version of symmetric functions, with the help of Young tableaux and the plactic monoid. The book also contains numerous exercises clarifying and extending many points of the main text.
Orthogonal Matrix-valued Polynomials and Applications
Orthogonal Matrix-valued Polynomials and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orthogonal Matrix-valued Polynomials and Applications write by Israel Gohberg. This book was released on 1988. Orthogonal Matrix-valued Polynomials and Applications available in PDF, EPUB and Kindle.
