Spherical analysis on homogeneous vector bundles of the 3-dimensional euclidean motion group
نویسندگان
چکیده
منابع مشابه
Homogeneous Vector Bundles
1. Root Space Decompositions 2 2. Weights 5 3. Weyl Group 8 4. Irreducible Representations 11 5. Basic Concepts of Vector Bundles 13 6. Line Bundles 17 7. Curvature 20 7.1. Curvature of tangent bundles 22 7.2. Curvature of line bundles 24 7.3. Levi curvature 25 8. Ampleness Formulas 27 8.1. Ampleness of irreducible bundles 28 8.2. Ampleness of tangent bundles 29 9. Chern Classes 32 9.1. Chern c...
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متن کاملHARDY’S THEOREM FOR THE n-DIMENSIONAL EUCLIDEAN MOTION GROUP
An uncertainty principle, due to Hardy, for Fourier transform pairs on R says that if the function f is “very rapidly decreasing”, then the Fourier transform cannot also be “very rapidly decreasing” unless f is identically zero. In this paper we state and prove an analogue of Hardy’s theorem for the ndimensional Euclidean motion group.
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2017
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-017-1123-1