Universität zu Köln

Alldridge, Alexander ORCID: 0000-0001-6331-1672 and Palzer, Wolfgang (2017). Non-Euclidean Fourier Inversion on Super-hyperbolic Space. Commun. Math. Phys., 351 (3). S. 1091 - 1127. NEW YORK: SPRINGER. ISSN 1432-0916

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Abstract

For the super-hyperbolic space in any dimension, we introduce the non-Euclidean Helgason-Fourier transform. We prove an inversion formula exhibiting residue contributions at the poles of the Harish-Chandra c-function, signalling discrete parts in the spectrum. The proof is based on a detailed study of the spherical superfunctions, using recursion relations and localization techniques to normalize them precisely, careful estimates of their derivatives, and a rigorous analysis of the boundary terms appearing in the polar coordinate expression of the invariant integral.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Alldridge, Alexander UNSPECIFIED orcid.org/0000-0001-6331-1672 UNSPECIFIED Palzer, Wolfgang UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-233590
DOI:	10.1007/s00220-016-2804-7
Journal or Publication Title:	Commun. Math. Phys.
Volume:	351
Number:	3
Page Range:	S. 1091 - 1127
Date:	2017
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1432-0916
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BEREZIN INTEGRATION; SYMMETRY CLASSES; SUPERMANIFOLDS; THEOREMS Multiple languages Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23359