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The Schrodinger Model For The Minimal Representation Of The Indefinite Orthogonal Group Opq Toshiyuki Kobayashi

SKU: BELL-5250644

$ 31.00 ~~$ 45.00~~ (-31%)

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The Schrodinger Model For The Minimal Representation Of The Indefinite Orthogonal Group Opq Toshiyuki Kobayashi instant download after payment.

Publisher: Amer Mathematical Society

File Extension: PDF

File size: 1.07 MB

Pages: 145

Author: Toshiyuki Kobayashi, Gen Mano

ISBN: 9780821847572, 0821847570

Language: English

Year: 2011

Product desciption

The Schrodinger Model For The Minimal Representation Of The Indefinite Orthogonal Group Opq Toshiyuki Kobayashi by Toshiyuki Kobayashi, Gen Mano 9780821847572, 0821847570 instant download after payment.

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