Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008598351/catalog> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- catalog abstract ""This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as a reference, presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball, or those of Gaussian type, for which fairly explicit formulae exist. The approach is a blend of classical analysis and symmetry-group-theoretic methods. Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket.".
- catalog contributor b12036340.
- catalog contributor b12036341.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description ""This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as a reference, presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball, or those of Gaussian type, for which fairly explicit formulae exist. The approach is a blend of classical analysis and symmetry-group-theoretic methods.".
- catalog description "Examples of orthogonal polynomials in several bariables -- General properties of orthogonal polynomialsin several variables -- Root systems and coxeter groups -- Sperical harmonics associated with reflection groups -- Classical and generalized classical orthogonal polynomials -- Summability of orthogonal expansions -- Orthogonal polynomials associated with symmetric groups -- Orthogonal polynomials associated with octahedral groups and applications.".
- catalog description "Includes bibliographical references (p. 372-383) and indexes.".
- catalog description "Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket.".
- catalog extent "xv, 390 p. ;".
- catalog identifier "0521800439".
- catalog isPartOf "Encyclopedia of mathematics and its applications ; 81".
- catalog isPartOf "Encyclopedia of mathematics and its applications ; v. 81.".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "New York : Cambridge University Press,".
- catalog subject "515/.55 21".
- catalog subject "Functions of several real variables.".
- catalog subject "Orthogonal polynomials.".
- catalog subject "QA404.5 .D86 2001".
- catalog tableOfContents "Examples of orthogonal polynomials in several bariables -- General properties of orthogonal polynomialsin several variables -- Root systems and coxeter groups -- Sperical harmonics associated with reflection groups -- Classical and generalized classical orthogonal polynomials -- Summability of orthogonal expansions -- Orthogonal polynomials associated with symmetric groups -- Orthogonal polynomials associated with octahedral groups and applications.".
- catalog title "Orthogonal polynomials of several variables / Charles F. Dunkl and Yuan Xu.".
- catalog type "text".