Essays about: "compact operator"

Showing result 1 - 5 of 7 essays containing the words compact operator.

  1. 1. An operator theoretic approach to the Riemann Hypothesis

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE

  2. 2. Design and Implementation of the SAX, a Robotic Measurement System for On-Chip Antennas at 140-325 GHz

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Magnus Pontusson; [2018]
    Keywords : Robotic measurement system; robotic arm; stepper motor control; antenna measurement; antenna radiation pattern; mm-wave antenna; mm-wave measurement; on-wafer measurement; far-field measurement;

    Abstract : There is currently a demand of mm‑wave on‑chip antennas to enable all kinds of new applications in several different areas. But the development requires, among other things, special equipment used during the measurement phase due to the small dimensions and the high frequencies. READ MORE

  3. 3. Generalized integration operators on Hardy spaces

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Nikolaos Chalmoukis; [2017]
    Keywords : Cesaro operator; Hardy spaces; Integration operators; Operator theory; Complex analysis; Mathematics and Statistics;

    Abstract : Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study a variation of this operator,namely P(g,a) , depending on an analytic symbol g and an n - tuple of complex numbers, a . Regarding the boundedness properties of this operator we prove that P(g,a) is a bounded linear operator from H^p to itself if and only if g is an analytic function of bounded mean oscillation and compact if and only if g is of vanishing mean oscillation. READ MORE

  4. 4. Automation of depowdering step in binder-jet additive manufacturing : Commissioning of KUKA robot

    University essay from Högskolan i Gävle/Avdelningen för elektronik, matematik och naturvetenskap

    Author : Sowjanya Kolluri; [2017]
    Keywords : Additive manufacturing; Binder jet - Depowdering step; Industrial robot; Kuka Kr6 robot; KRL programming; Pick and Place operation; Kinematics; coordinate systems; MATLAB; Singularity;

    Abstract : The aim of this thesis is to automate the depowdering step in binder-jet additive manufacturing using KUKA kr6 robot. The major tasks involved in this thesis work are commissioning of the KUKA kr6 robot, plan the actions required for automation process of binder jet considering the scaling factor of green bodies. READ MORE

  5. 5. Analysis of the Impact of TD-LTE on mobile broadband

    University essay from KTH/Skolan för informations- och kommunikationsteknik (ICT)

    Author : Xi Chen; [2014]
    Keywords : ;

    Abstract : The mobile broadband services have developed rapidly over the years, becoming critical revenue components of operator business. To accommodate users' growing interests on mobile broadband services and applications, global operators have tried to reorganize their former voice-centered networks by focusing more on the reinforcement of mobile data network performances and capacities. READ MORE