Browsing by Author "Ghosh, Somnath"

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    NOX (x=1,2) reactivity of Co(II) and Ni(II) complexes with N-donor and O-donor ligands
    (2016) Ghosh, Somnath
    The thesis originates from our interest to understand the basic chemistry involved in the binding to and activation of NOx (x = 1 and 2) by transition metal ions. Amongst the first row transition metal ions, iron and copper have been studied well towards NO binding and activation. However, nickel and cobalt have not been studied to that extent, though both of these are known to exhibit interesting activity towards NO. In this context, as continuation of our study, first chapter deals with the general aspects of NO and NO2. In chapter two, two Co(II)-nitrosyl complexes with salen type of ligand have been synthesized. In later stage the reactivity of those metal-nitrosyls towards KO2 has been investigated and ended up with formation of two Co(III) nitrate complexes via the formation of peroxynitrite intermediate. Next chapter of this thesis deals with NO reactivity Ni(II) center. Successively, the redox behaviour of the coordinated NO and its disproportionation to N2O have been studied. In the next two chapters, relatively less explored reactivity of NO2 with Ni(II) complexes have been discussed. In these cases, reduction of Ni(II) center by NO2 and oxo transfer reactions from NO2 to the metal coordinated nitrite (NO2¯) ion have been observed.
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    Uniqueness pairs for the Fourier transform on the Euclidean spaces and certain Lie groups
    (2021) Ghosh, Somnath
    In general, the uncertainty principle states that a non-zero function and its Fourier transform cannot both be sharply localized. And depending on different localization assumptions, various types of results related to the uncertainty principle for Fourier transform appeared. In this thesis, localization is described through the support of the function and its Fourier transform, and we consider two variants of the uncertainty principle, namely, the Heisenberg uniqueness pair and Benedicks-Amrein-Berthier theorem.