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 on SU (2), due to Liu and Qian, were obtained by Clifford algebra techniques. We obtain similar versions of these theorems using simpler proof techniques: classical harmonic analysis and group theory"--Abstract, page iii.</p>

Name thesis:degree_name

Ph. D. in Mathematics

Grantor

Missouri University of Science and Technology

Year dc:date.available

2018

Author dc:creator

• Myers, Donald Forrest

• Special unitary group
• Mathematics

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/2515

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-3517