Non-commutative Fourier transform on SU(2) -
Abstract
We study a modification of the usual Fourier transform where the character of the representation of group R is replaced with e(to the power)i.α.Tr(Xg) where X ∈ su(2), g ∈ SU(2). In particular we analyze how do Schwartz space and the space of distributions behave under it.
Description
Thesis. M.S. American University of Beirut. Department of Mathematics, 2014. T:6046
Advisor : Dr. Tlas Tamer, Assistant Professor, Mathematics ; Members of Committee : Dr. Shayya Bassam, Professor, Mathematics ; Dr. Egeileh Michel, Assistant Professor, Mathematics.
Includes bibliographical references (leaves 41-42)
Advisor : Dr. Tlas Tamer, Assistant Professor, Mathematics ; Members of Committee : Dr. Shayya Bassam, Professor, Mathematics ; Dr. Egeileh Michel, Assistant Professor, Mathematics.
Includes bibliographical references (leaves 41-42)