The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group O - Couverture souple

Kobayashi, Toshiyuki; Mano, Gen

Couverture souple

ISBN 10 : 0821847570 ISBN 13 : 9780821847572

Editeur : American Mathematical Society, 2012

Synopsis

The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.

A propos du livre

À propos de l?auteur

Toshiyuki Kobayashi is at University of Tokyo, Japan||PricewaterhouseCoopers Aarata, Tokyo, Japa

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 0821847570
• ISBN 13: 9780821847572
• Reliure: Broché
• Nombre de pages: 132
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible