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The Schroedinger Model for the Minimal Representation of the Indefinite Orthogonal Group $o(P,Q)$

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The Schroedinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ - Kobayashi, Toshiyuki, and Mano, Gen
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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 ...

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The Schroedinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ 2012, American Mathematical Society, Providence

ISBN-13: 9780821847572

Paperback