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1

  • A NOTE ON BENEDICKS’ THEOREM ON HEISENBERG GROUP



Sanjoy Biswas

Abstract:
In this article we prove that if a integrable functions f on the Heisenberg group is supported on a ‘thin’ set and the group Fourier transform f(ʎ) of the function is a rank one operator for all ʎ≠0, then the function is zero.


1-5
2

  • STUDY OF BASIC TERMINOLOGY, TECHNIQUES AND PROCESS OF SUMMABILITY



Kunwar Pal Singh

Abstract:
As mathematics is based on principles of reasoning, any slightest deviations from the right track of the flow of mathematical ideas would ultimately end in disharmony. The significance of the notion of summability has been remarkably displayed in various contexts, for example, in analytic continuation, quantum mechanics, probability theory, Fourier Analysis, Approximation Theory and Fixed point theory. The almost summability methods and statistical summability methods has become a dynamic field of research in recent years.In the present article, we gathered some basic definitions and facts which employed in this work. Different notations and terminologies that are used.


9-16
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