Search for dissertations about: "spectral divisor"

Found 2 swedish dissertations containing the words spectral divisor.

  2. 1. Non-selfadjoint operator functions

    Author : Axel Torshage; Christian Engström; Marco Marletta; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Non-linear spectral problem; numerical range; pseudospectrum; resolvent estimate; equivalence after extension; block operator matrices; operator functions; operator pencil; spectral divisor; joint numerical range; Mathematics; matematik;

    Abstract : Spectral properties of linear operators and operator functions can be used to analyze models in nature. When dispersion and damping are taken into account, the dependence of the spectral parameter is in general non-linear and the operators are not selfadjoint. READ MORE

  4. 2. Summation formulae and zeta functions

    Author : Johan Andersson; Mikael Passare; Aleksandar Ivic; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; zeta function; summation formula; automorphic form; modular group; Kloosterman sum; Selberg theory; power sum method; MATHEMATICS; MATEMATIK;

    Abstract : This thesis in analytic number theory consists of 3 parts and 13 individual papers.In the first part we prove some results in Turán power sum theory. We solve a problem of Paul Erdös and disprove conjectures of Paul Turán and K. Ramachandra that would have implied important results on the Riemann zeta function. READ MORE