Pseudodifferential Operators on SU(2) |
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| Authors: | Frank Geshwind Nets Hawk Katz |
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| Affiliation: | 1. Department of Mathematics, Yale University, 06520-8283, New Haven, Connecticut
2. Department of Mathematics and Statistics, The University of Edinburgh, James Clerk Maxwell Building, Room 5619, King’s Buildings, Mayfield Road, EH9 3JZ, Edinburgh, UK
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| Abstract: | We construct an algebra of left-invariant pseudodifferential operators on SU(2). We require only that the symbols be homogeneous and C 2 . For Fourier-bandlimited symbols, we derive the expected formulae for composition and commutators and construct an orthonormal basis of common approximate eigenvectors that could be used to study spectral theory. Some remarks on applications to matrices of operators are made. |
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