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:
CreatorsEmailORCIDORCID Put Code
Alldridge, AlexanderUNSPECIFIEDorcid.org/0000-0001-6331-1672UNSPECIFIED
Palzer, WolfgangUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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:
KeywordsLanguage
BEREZIN INTEGRATION; SYMMETRY CLASSES; SUPERMANIFOLDS; THEOREMSMultiple languages
Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/23359

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