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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  • EP ID EP162235
  • DOI -
  • Views 130
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How To Cite

Kahar El - Hussein (2013). Fourier transf orm and Plancherel Theorem f or Nilpotent Lie Group. INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY, 4(11), 288-294. https://europub.co.uk/articles/-A-162235