Buch, Englisch, Band 316, 504 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 785 g
Recent Advances
Buch, Englisch, Band 316, 504 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 785 g
Reihe: Mathematics and Its Applications
ISBN: 978-90-481-4486-0
Verlag: Springer Netherlands
In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza tions of classical special functions that were dictated by matrix elements of repre sentations.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
1: h-Harmonic Polynomials, h-Hankel Transform, and Coxeter Groups.- 2: Symmetric Polynomials and Symmetric Functions.- 3: Hypergeometric Functions Related to Jack Polynomials.- 4: Clebsch-Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations.- 5: Clebsch-Gordan Coefficients of the group U(n) and Related Generalizations of Hypergeometric Functions.- 6: Gel’fand Hypergeometric Functions.- Supplementary Bibliography.- Bibliography Notes.
