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    • Division of Physical and Mathematical Sciences
    • Mathematics (MA)
    • Browsing Mathematics (MA) by Subject
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    Browsing Mathematics (MA) by Subject "Heisenberg Group"

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      • Analytic and Entire Vectors for Representations of Lie Groups 

        Kumar, Manish (2018-01-01)
        We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ...
      • Joint Eigenfunctions On The Heisenberg Group And Support Theorems On Rn 

        Samanta, Amit (2014-04-07)
        This work is concerned with two different problems in harmonic analysis, one on the Heisenberg group and other on Rn, as described in the following two paragraphs respectively. Let Hn be the (2n + 1)-dimensional Heisenberg ...
      • Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups 

        Boggarapu, Pradeep (2018-01-03)
        This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms ...
      • Riesz Transforms Associated With Heisenberg Groups And Grushin Operators 

        Sanjay, P K (2015-12-08)
        We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order ...
      • Segal-Bargmann Transform And Paley Wiener Theorems On Motion Groups 

        Sen, Suparna (2013-10-08)
      • Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers 

        Bagchi, Sayan (2018-05-30)
        In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier ...

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