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Filtering by: Creator Dascaliuc, R. Remove constraint Creator: Dascaliuc, R. Advisor Petsche, Clayton J. Remove constraint Advisor: Petsche, Clayton J. Rights Statement In Copyright Remove constraint Rights Statement: In Copyright

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  • Fourier Analysis and Equidistribution on the p-adic Integers

    Creator:
    Somasunderam, Naveen
    Abstract:
    In this dissertation, we use Fourier-analytic methods to study questions of equidistribution on the compact abelian group Zp of p-adic integers. In particu- lar, we prove a LeVeque-type Fourier analytic upper bound on the discrepancy of sequences. We establish p-adic analogues of the classical Dirichlet and Fejér kernels on R/Z,...
    Resource Type:
    Dissertation
    Full Text:
    kernels on R/Z, and investigate their properties. Finally, we compare notions of variation for functions

  • An inner product on adelic measures

    Creator:
    Oberly, Peter J.
    Abstract:
    We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...
    Resource Type:
    Dissertation
    Full Text:
    this dissertation. I wish to express sincere appreciation to Radu Dascaliuc, Thinh Nguyen, Thomas A