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Titlebook: Analysis and Geometry on Complex Homogeneous Domains; Jacques Faraut,Soji Kaneyuki,Guy Roos Textbook 2000 Springer Science+Business Media

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Ordinary Differential Equations,ex plane ℂ is imbedded into the Riemann sphere ℂ.., and the unit disc . into the lower hemisphere, by stereographic projection. This example, where the initial . is .(1, 1) (or its quotient modulo {±.}), the group of fractional linear transformations of ., should be constantly borne in mind during the following discussion.
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Hilbert Function Spaces on a Complex Olshanski Semi-group in a Complex Semi-simple Lie Group• .is open, and the map.is a diffeomorphism onto its image ...m.. One proves that ., which means that the image ...m.contains .. The pullback .of . is the . of the Hermitian symmetric space . as a bounded domain.
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Construction of the Hermitian Symmetric Spacesex plane ℂ is imbedded into the Riemann sphere ℂ.., and the unit disc . into the lower hemisphere, by stereographic projection. This example, where the initial . is .(1, 1) (or its quotient modulo {±.}), the group of fractional linear transformations of ., should be constantly borne in mind during the following discussion.
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Lecture Notes in Computer Science given by choosing a basis . of . such that . is a basis of .. Now let us fix a σ-order in .. The simple root system . of . with respect to this σ-order is called aσ -fundamental system of .. The subset . of . is a basis for ..
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Semisimple Graded Lie Algebras given by choosing a basis . of . such that . is a basis of .. Now let us fix a σ-order in .. The simple root system . of . with respect to this σ-order is called aσ -fundamental system of .. The subset . of . is a basis for ..
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Textbook 2000ie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented.
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