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Showing 1 to 2 of 2 for “"Special unitary group"”.
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Pointwise and uniform convergence of fourier series on SU(2)
<p>"Let f be a Lipschitz function on the special unitary group SU (2). We prove that the Fourier partial sums of f converge to f uniformly on SU (2), thereby extending theorems of Caccioppoli, Mayer, and a special case of Ragozin. Pointwise convergence theorems for the Fourier series of functions …
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Weil Representations of Unitary Groups
… degree of r. Whatever the case, let Um(A) be the unitary group of rank m over A associated to a nondegenerate hermitian or skew-hermitian form h relative to . Specifically, in order to obtain an imbedding of Um(A) into a suitable symplectic group over R, we take h to be skew-hermitian in all cases …