{"product_id":"the-schrodinger-model-for-the-minimal-representation-of-the-indefinite-orthogonal-group-o-p-q","title":"The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$","description":"\u003cp\u003eThe 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.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eAuthor:\u003c\/b\u003e Toshiyuki Kobayashi, Gen Mano\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublisher:\u003c\/b\u003e American Mathematical Soc.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublished:\u003c\/b\u003e 2011\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePages:\u003c\/b\u003e 145\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Soc.","offers":[{"title":"Default Title","offer_id":62808540447091,"sku":"9780821847572","price":200.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0987\/0812\/8115\/files\/content_6275403e-b8b4-41a2-adc7-17d078ba4431.jpg?v=1777959795","url":"https:\/\/readaura.store\/products\/the-schrodinger-model-for-the-minimal-representation-of-the-indefinite-orthogonal-group-o-p-q","provider":"Read Aura","version":"1.0","type":"link"}