Frontiers in Orthogonal Polynomials and Q-Series, Nashed M. Zuhair, Li Xin
Автор: Van Assche Walter Название: Orthogonal Polynomials and Painleve Equations ISBN: 1108441947 ISBN-13(EAN): 9781108441940 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first detailed account of the relationships between Painleve equations and orthogonal polynomials. It gives clear examples as well as proofs, and there are exercises throughout to help the reader get comfortable with the material. Useful for researchers across both fields and anyone interested in integrable systems and non-linear equations.
Part I: Introduction to Orthogonal Polynomials.- An Introduction to Orthogonal Polynomials.- Classical Continuous Orthogonal Polynomials.- Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials.- Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials.- Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials.- Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable.- Computer Algebra, Power Series and Summation.- On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions.- The Gamma Function.- Part II: Recent Research Topics in Orthogonal Polynomials and Applications.- Hypergeometric Multivariate Orthogonal Polynomials.- Signal Processing, Orthogonal Polynomials, and Heun Equations.- Some Characterization Problems Related to Sheffer Polynomial Sets.- From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.- Two Variable Orthogonal Polynomials and Fejйr-Riesz Factorization.- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevй Equations.- (R, p, q)-Rogers-Szegц and Hermite Polynomials, and Induced Deformed Quantum Algebras.- Zeros of Orthogonal Polynomials.- Properties of Certain Classes of Semiclassical Orthogonal Polynomials.- Orthogonal Polynomials and Computer Algebra.- Spin Chains, Graphs and State Revival.- An Introduction to Special Functions with Some Applications to Quantum Mechanics.- Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevй Equations.
Автор: Paul Nevai Название: Orthogonal Polynomials ISBN: 9401067112 ISBN-13(EAN): 9789401067119 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and Their Applications, Columbus, Ohio, U.S.A., May 22-June 3, 1989
Автор: Joonil Kim Название: Multiple Hilbert Transforms Associated with Polynomials ISBN: 147041435X ISBN-13(EAN): 9781470414351 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 81310.00 T Наличие на складе: Невозможна поставка. Описание: This volume includes definitions of polyhedra, their faces and cones; combinatorial lemmas; descending faces versus ascending cones; preliminary results of analysis; proof of sufficiency; necessity theorem` preliminary lemmas for necessity proof; proof of necessity; proofs of corollary 3.1 and main theorem 3.1.
Автор: A. Olevskii; B.P. Marshall; H.J. Christoffers Название: Fourier Series with Respect to General Orthogonal Systems ISBN: 3642660584 ISBN-13(EAN): 9783642660580 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The fundamental problem of the theory of Fourier series consists of the investigation of the connections between the metric properties of the function expanded, the behavior of its Fourier coefficients {cn} with respect to an ortho- normal system of functions {
Автор: Alexander Prestel; Charles Delzell Название: Positive Polynomials ISBN: 3642074456 ISBN-13(EAN): 9783642074455 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.
Автор: Toshiyuki Kobayashi, Birgit Speh Название: Symmetry Breaking for Representations of Rank One Orthogonal Groups ISBN: 147041922X ISBN-13(EAN): 9781470419226 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 79470.00 T Наличие на складе: Невозможна поставка. Описание: The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G`=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly.
Автор: David E. Handelman Название: Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem ISBN: 3540184007 ISBN-13(EAN): 9783540184003 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Emanating from the theory of C*-algebras and actions of tori theorem, this book discusses the problems that are outgrowths of random walk problems on lattices.
Автор: I. Gohberg Название: Orthogonal Matrix-valued Polynomials and Applications ISBN: 3034854749 ISBN-13(EAN): 9783034854740 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This paper is a largely expository account of the theory of p x p matrix polyno- mials associated with Hermitian block Toeplitz matrices and some related problems of interpolation and extension. , hn of p x p matrices with h-i = hj for j = 0, ... We let k = O, ... , hk and shall denote its 1 inverse H k by (k)] k [ r = .. k = O, ...
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