AUB ScholarWorks

Browsing AUB Students' Theses, Dissertations, and Projects by Author "Della Sala, Giuseppe"

Browsing AUB Students' Theses, Dissertations, and Projects by Author "Della Sala, Giuseppe"

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  • Analytic Disks and Mapping Problems for Real Hypersurfaces in Complex Spaces 
    Hussein, Ahmad (2024-01-29)
    The thesis will review the theory of certain invariant objects associated to CR submanifolds of C^n, especially families of attached analytic disks, and their implications for the study of the properties of holomorphic ...
  • Entire Function with Two Separated Values 
    Saab, Batoul (2023-08-07)
    It’s known that an entire function with zeros and 1-points lying on a finite number of rays must have finite order. This thesis considers a transcendental entire function with two separated values in disjoint sectors. ...
  • L-series of Harmonic Maass Forms 
    Bou Aoun, Elena (2024-05-08)
    We introduce Harmonic Maass forms and present some of their analytic properties. We continue to define their related L-series by using Laplace transform, and prove their functional equations. Our primary objective is to ...
  • A Proof of the Class Number Formula 
    Jaber Chehayeb, Amir (2024-04-26)
    The Class Number Formula helps compute several invariants of a number field, including its Class Number, by relating them to the behavior of its Dedekind Zeta function. The Class Number of a field is useful because it helps ...
  • Regularity Theorem For Gaussian Spaces 
    Beainy, Tatiana (2023-05-04)
    An analogue of the regularity theorem for Schwartz distributions is proven in the case the coupling between the space and its dual is done via the Gaussian measure. The result is then studied in infinite dimensions and a ...
  • The Structure of Groups of Analytic Transformations 
    Yatim, Abdullah (9/21/2020)
    n this thesis we review some classical results by H. Cartan, devoted to the study of certain families of real-analytic and holomorphic diffeomorphisms. In particular, it is shown that a local, quasi-continuous group of ...

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