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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 "Differential Operators"

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      • 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 ...

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