The Phase Space Associated to the Heisenberg Group

Valery V. Volchkov and Vitaly V. Volchkov
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Valery V. Volchkov: Donetsk National University, Department of Mathematics
Vitaly V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 5 in Offbeat Integral Geometry on Symmetric Spaces, 2013, pp 135-156 from Springer

Abstract: Abstract Here we give an analog of the theory developed in Chapter 4 for the case of the phase space ℂ n with the twisted convolution $$(f_1\,\star\,f_2)\,=\, \int_{\mathbb{C}^n} f_1 (z - w)f_2 (w)e^{\frac{i} {2}IM\,\left\langle {\left. {z,w} \right\rangle }\mathbb{C} \right.} \,dw.$$

Keywords: Heisenberg Group; Hermite Function; Topological Isomorphism; Bibliographical Note; Wiener Theorem (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0572-8_5

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DOI: 10.1007/978-3-0348-0572-8_5

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