Some Remarks on Harmonic Projection Operators on Spheres

Some Remarks on Harmonic Projection Operators on Spheres

We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a suitably defined subLaplacian. In particular,...

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Main Author: Valentina Casarino
Format: Article
Language:English
Published: University of Bologna 2016-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:https://mathematicalanalysis.unibo.it/article/view/6685
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spelling doaj-94bd12d19ad145b4877efc904668b7e02020-11-24T22:34:24ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292016-12-017111710.6092/issn.2240-2829/66856084Some Remarks on Harmonic Projection Operators on SpheresValentina Casarino0Università di BolognaWe give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a suitably defined subLaplacian. In particular, we discuss similarities and differences between the real, the complex and the quaternionic framework.https://mathematicalanalysis.unibo.it/article/view/6685
collection DOAJ
language English
format Article
sources DOAJ
author Valentina Casarino
spellingShingle Valentina Casarino
Some Remarks on Harmonic Projection Operators on Spheres
Bruno Pini Mathematical Analysis Seminar
author_facet Valentina Casarino
author_sort Valentina Casarino
title Some Remarks on Harmonic Projection Operators on Spheres
title_short Some Remarks on Harmonic Projection Operators on Spheres
title_full Some Remarks on Harmonic Projection Operators on Spheres
title_fullStr Some Remarks on Harmonic Projection Operators on Spheres
title_full_unstemmed Some Remarks on Harmonic Projection Operators on Spheres
title_sort some remarks on harmonic projection operators on spheres
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2016-12-01
description We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a suitably defined subLaplacian. In particular, we discuss similarities and differences between the real, the complex and the quaternionic framework.
url https://mathematicalanalysis.unibo.it/article/view/6685
work_keys_str_mv AT valentinacasarino someremarksonharmonicprojectionoperatorsonspheres
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