Browse Graduate Dissertations and Theses at Illinois by Contributor "D'Angelo, John"
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(2016-07-08)We introduce a technique for obtaining the Bergman kernel on certain Hartogs domains. To do so, we apply a differential operator to a known kernel function on a domain in lower dimensional space. We rediscover some known ...
(2015-01-21)This thesis addresses two closely related problems about ideals of powers of linear forms. In the first chapter, we analyze a problem from spline theory, namely to compute the dimension of the vector space of tri-variate ...