Pointwise and uniform convergence of fourier series on SU(2)

Author

Donald Forrest Myers

Keywords and Phrases

Special unitary group

Abstract

"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.

Advisor(s)

Grow, David E.

Committee Member(s)

Clark, Stephen L.
Dwilewicz, Roman
Hall, Leon M., 1946-
Parris, Paul Ernest, 1954-

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2016

Pagination

vi, 155 pages

Note about bibliography

Includes bibliographic references (pages 151-154).

Rights

© 2016 Donald Forrest Myers, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Fourier series
Convergence
Unitary groups

Thesis Number

T 10971

Electronic OCLC #

958280892

Recommended Citation

Myers, Donald Forrest, "Pointwise and uniform convergence of fourier series on SU(2)" (2016). Doctoral Dissertations. 2515.
https://scholarsmine.mst.edu/doctoral_dissertations/2515