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

Kobayashi, Toshiyuki; Mano, Gen

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ISBN 10: 0821847570 / ISBN 13: 9780821847572
Published by Amer Mathematical Society
Used Condition: Fine Soft cover
From Lavendier Books (N Scituate, RI, U.S.A.)

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0821847570 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. Bookseller Inventory # SKU1004943

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Title: 1000: The Schrodinger Model for the Minimal ...

Publisher: Amer Mathematical Society


Book Condition:Fine

About this title


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.

About the Author:

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

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