Author

• José A Díaz-García

Abstract

Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.

Keywords

• Division algebras
• generalised beta and gamma functions
• Generalised hypergeometric functions
• invariant polynomials
• Jack polynomials
• Real
• complex
• quaternion and octonion random matrices
• spherical functions on symmetric cones
• zonal polynomials