Pseudodifferential Operators on Prehomogeneous Vector Spaces

Let G be a connected, linear algebraic group defined over ℝ, acting regularly on a finite dimensional vector space V over ℂ with ℝ-structure V ℝ . Assume that V possesses a Zariski-dense orbit, so that (G, ϱ, V) becomes a prehomogeneous vector space over ℝ. We consider the left regular representatio...

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Veröffentlicht in:	Communications in partial differential equations 2006-04, Vol.31 (4), p.515-546
1. Verfasser:	Ramacher, Pablo
Format:	Artikel
Sprache:	eng
Schlagworte:	Elliptic operators Kernels of holomorphic semigroups Local zeta functions Prehomogeneous vector spaces Totally characteristic pseudo-differential operators
Online-Zugang:	Volltext
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