Blar i Institutt for matematiske fag på emneord "Matematiske fag, Analyse"
Viser treff 1-5 av 5
-
Exponential Weighted Sums related to the Divisor and Circle Problems
(Master thesis, 2018)The classical results of the Dirichlet Divisor Problem and Gauss' Circle Problem are examined, with required information on the Riemann Zeta function presented. In particular, the results derived from the weighted sums of ... -
Ikke-kommutative Sobolev-rom
(Master thesis, 2017)Først blir det essensielle av forkunnskaper introdusert. Dette inneholder den grunnleggende Hilbert C*-modulteorien, definisjonen og konstruksjonen av Moritaekvivalenser samt noen konsekvenser av dette. På disse bimodulene ... -
Nonlinear phase unwinding
(Master thesis, 2018)We start of by studying Hardy spaces and Blaschke products. Then we look at a natural nonlinear analogue of Fourier series called the unwinding series. It is obtained through iterative Blaschke factorization and unwinds ... -
On Steady Solutions of a Generalized Whitham Equation
(Master thesis, 2017)We study the steady solutions of a generalized Whitham equation with the symbol m(x)=(tanh(x)\x)^s for 0 -
Some Improved Estimates in the Dirichlet Divisor Problem from Bourgain's Exponent Pair
(Master thesis, 2018)The thesis work is a survey of recent developments on the famous error terms in the Dirichlet divisor problem. We consider the power moments of the Riemann zeta-function in the critical strip and we managed to obtain some ...