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.
Authors
- Marcin Bownik,
- dr hab. Karol Dziedziul link open in new tab
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1007/s00365-014-9271-1
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2015
Source: MOSTWiedzy.pl - publication "Smooth orthogonal projections on sphere." link open in new tab
