Smooth orthogonal projections on sphere.

Marcin Bownik; Karol Dziedziul

doi:10.1007/s00365-014-9271-1

Smooth orthogonal projections on sphere.

Abstract

We construct a decomposition of the identity operator on the sphere S^d as a sum of smooth orthogonal projections subordinate to an open cover of S^d. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.

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Publication version: Accepted or Published Version
DOI:: Digital Object Identifier (open in new tab) 10.1007/s00365-014-9271-1
License: Copyright (Springer Science+Business Media New York 2014)

Keywords

SMOOTH ORTHOGONAL PROJECTION SPHERE PARSEVAL FRAME

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: CONSTRUCTIVE APPROXIMATION no. 41, edition 1, pages 23 - 48,
ISSN: 0176-4276
Language:: English
Publication year:: 2015
Bibliographic description:: Bownik M., Dziedziul K.: Smooth orthogonal projections on sphere.// CONSTRUCTIVE APPROXIMATION. -Vol. 41, iss. 1 (2015), s.23-48
DOI:: Digital Object Identifier (open in new tab) 10.1007/s00365-014-9271-1
Verified by:: Gdańsk University of Technology