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Filtering by: Creator Dascaliuc, R. Remove constraint Creator: Dascaliuc, R. Advisor Petsche, Clayton J. Remove constraint Advisor: Petsche, Clayton J. Creator Somasunderam, Naveen Remove constraint Creator: Somasunderam, Naveen 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