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A Sequence of Matrix Valued Orthogonal Polynomials Associated to Spherical Functions

✍ Scribed by I. Pacharoni; P. Roman

Publisher
Springer
Year
2007
Tongue
English
Weight
229 KB
Volume
28
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES

Matrix Valued Spherical Functions Associ
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✍ F.A. GrΓΌnbaum; I. Pacharoni; J. Tirao πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 659 KB

The main purpose of this paper is to compute all irreducible spherical functions on G=SU(3) of arbitrary type d Β₯ K Λ†, where K=S(U(2) Γ— U(1)) 4 U(2). This is accomplished by associating to a spherical function F on G a matrix valued function H on the complex projective plane P 2 (C)=G/K. It is well

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✍ C.M. da Fonseca πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 159 KB

Let A = (a ij ) be an n Γ— n complex matrix. For any real ΞΌ, define the polynomial where (Οƒ ) is the number of inversions of the permutation Οƒ in the symmetric group S n . We analyze and establish a conjecture on the location of the zeros of P ΞΌ (A), when A is a non-diagonal positive definite matrix