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Representation of Lie Groups and Special Functions - Recent Advances (Hardcover, 1995 ed.)
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Representation of Lie Groups and Special Functions - Recent Advances (Hardcover, 1995 ed.)
Series: Mathematics and Its Applications, 316
Expected to ship within 12 - 17 working days
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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."
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