Analysis Seminar
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Analysis Seminar – Ryan Berndt, Otterbein University
Analysis Seminar – Ryan Berndt, Otterbein University
Title: Two-weight problem for the Fourier transform. Abstract: We examine the problem of the Fourier transform mapping one weighted Lebesgue space into another, by studying necessary conditions and sufficient conditions which expose an underlying geometry. In the necessary conditions, this geometry is connected to an old result of Mahler concerning the the measure of a
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Analysis Seminar – Khalid Said, University of Alabama
Analysis Seminar – Khalid Said, University of Alabama
Abstract In this presentation we examine some useful properties of the numerical range. We explore two dierent positions , generic and generalized generic positions. We show that two pairs of subspaces (M,N) and (M?;N?) are unitarily equivalent if M and N are subspaces of Cn in generic position by constructing a unitary operator. We establish