Fourier transf orm and Plancherel Theorem f or Nilpotent Lie Group
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 11
Abstract
As will known the connected and simply connected nilpotent Lie group N has an important role in quantum mechanics. In this paper we show how the Fourier transform on the n dimensional vector Lie group n R can be generalized to N in order to obtain the Plancherel theorem. In addition we define the Fourier transform for the subgroup N A NA = of the real semi - simple Lie group ) , ( R n SL to get also the Plancherel formula for NA
Authors and Affiliations
Kahar El - Hussein
Keywords
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