期刊
JOURNAL OF GEOMETRIC ANALYSIS
卷 21, 期 2, 页码 334-371出版社
SPRINGER
DOI: 10.1007/s12220-010-9150-3
关键词
Compact homogeneous manifold; Wavelets; Laplace operator; Eigenfunctions
类别
资金
- National Geospatial-Intelligence Agency University Research Initiative (NURI) [HM1582-08-1-0019]
In the last decade, methods based on various kinds of spherical wavelet bases have found applications in virtually all areas where analysis of spherical data is required, including cosmology, weather prediction, and geodesy. In particular, the so-called needlets (= band-limited Parseval frames) have become an important tool for the analysis of Cosmic Microwave Background (CMB) temperature data. The goal of the present paper is to construct band-limited and highly localized Parseval frames on general compact homogeneous manifolds. Our construction can be considered as an analogue of the well-known phi-transform on Euclidean spaces.
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