1000: The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group O;Memoirs of the American Mathematical Society

Kobayashi, Toshiyuki; Mano, Gen

ISBN 10: 0821847570 / ISBN 13: 9780821847572

Verlag: Amer Mathematical Society, 2011

American Mathematical Society; Providence, Sept. 2011. Paperback. Near Fine in Wraps, slight handling. 8vo[octavo or aprx 6 x 9], 132pp. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Bestandsnummer des Verkäufers SKU1004943

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Toshiyuki Kobayashi is at University of Tokyo, Japan||PricewaterhouseCoopers Aarata, Tokyo, Japa

Bibliografische Details

Titel: 1000: The Schrodinger Model for the Minimal ...
Verlag: Amer Mathematical Society
Erscheinungsdatum: 2011
Einband: Paperback
Zustand: As New