Fourier Analysis and Equidistribution on the p-adic Integers

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/cz30q0563

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Attribute Name	Values
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, and investigate their properties. Finally, we compare notions of variation for functions on Zp due to Beer and Taibleson. We also prove a p-adic Fourier analytic Koksma inequality.
License	All rights reserved
Resource Type	Dissertation
Date Issued	2019-06-10
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2020
Advisor	Petsche, Clayton J.
Committee Member	Waymire, Edward C. Dascaliuc, Radu Schmidt, Thomas A.
Academic Affiliation	Mathematics
Subject	p-adic analysis Fourier analysis
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]

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