Browsing Pure & Applied Mathematics MSc Theses by Subject "M.Sc. Trinity College Dublin"
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Fourier analysis, multiresolution analysis and dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 1998)This thesis has essentially two parts. The first two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ... -
Jordan systems, bounded symmetric domains and associated group orbits with holomorphic and CR extension theory
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)The first chapter will deal with the one to one correspondence between the positive hermitian Jordan triple systems and the bounded symmetric domains. We start by defining the various Jordan systems. Then we continue by ...