Analysis On Symmetric Cones (oxford Mathematical Monographs)
by Jacques Faraut /
1995 / English / DjVu
7.8 MB Download
Analysis on Symmetric Cones
Analysis on Symmetric Cones is the first book to provide a
systematic and clear introduction to the theory of symmetric cones,
a subject of growing importance in number theory and multivariate
analysis. Beginning with an elementary description of the Jordan
algebra approach to the geometric and algebraic foundations of the
theory, the book goes on to discuss harmonic analysis and special
functions associated with symmetric cones, tying these results
together with the study of holomorphic functions on bounded
symmetric domains of tube type. Written by algebraic geometers, the
book contains a detailed exposition of the spherical polynomials,
multivariate hypergeometric functions, and invariant differential
operators. The approach is based on Jordan algebras; all that is
needed from the theory of these is developed in the first few
chapters. The book will be read by students and theoreticians in
pure mathematics, non-commutative harmonic analysis, Jordan
algebras, and multivariate statistics.
is the first book to provide a
systematic and clear introduction to the theory of symmetric cones,
a subject of growing importance in number theory and multivariate
analysis. Beginning with an elementary description of the Jordan
algebra approach to the geometric and algebraic foundations of the
theory, the book goes on to discuss harmonic analysis and special
functions associated with symmetric cones, tying these results
together with the study of holomorphic functions on bounded
symmetric domains of tube type. Written by algebraic geometers, the
book contains a detailed exposition of the spherical polynomials,
multivariate hypergeometric functions, and invariant differential
operators. The approach is based on Jordan algebras; all that is
needed from the theory of these is developed in the first few
chapters. The book will be read by students and theoreticians in
pure mathematics, non-commutative harmonic analysis, Jordan
algebras, and multivariate statistics.