Pseudodifferential operators on SU(2).

Autor: Geshwind, Frank, Katz, Nets
Zdroj: Journal of Fourier Analysis & Applications; Mar1997, Vol. 3 Issue 2, p193-205, 13p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index