Basic relative invariants of homogeneous cones and their Laplace transforms

DOI10.2969/jmsj/07017447zbMath1451.22002OpenAlexW2784661908MaRDI QIDQ1743704

Hideto Nakashima

Publication date: 13 April 2018

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/07017447

zbMATH Keywords

Laplace transformssymmetric conesbasic relative invariantshomogeneous cones

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Laplace transform (44A10) Nilpotent and solvable Lie groups (22E25) Prehomogeneous vector spaces (11S90)

Related Items

Functional equations of zeta functions associated with homogeneous cones ⋮ A SHORTER PROOF OF A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF THE BASIC RELATIVE INVARIANTS ⋮ Rings of invariant differential operators on homogeneous cones and Capelli-type identities

Cites Work

• Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones
• On symplectic representations of normal \(j\)-algebras and their application to Xu's realizations of Siegel domains
• Tube domain and an orbit of a complex triangular group
• Riesz measures and Wishart laws associated to quadratic maps
• Über die analytische Theorie der quadratischen Formen
• Positivitatsbereiche Im R n
• REALIZATION OF HOMOGENEOUS CONES THROUGH ORIENTED GRAPHS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Basic relative invariants of homogeneous cones and their Laplace transforms