Professor Niels Jacob
Professor
Mathematics
Telephone: (01792) 295461
Room: Office - 211
Second Floor
Talbot Building
Singleton Campus

Publications

  1. & Higher order eigenvalues for non-local Schrödinger operators. Communications on Pure and Applied Analysis 17(1), 191-208.
  2. & Some Considerations on the Structure of Transition Densities of Symmetric Levy Processes. Communications in Stochastic Analysis 10(4), 405-420.
  3. & Some Feller Semigroups on C_oo(R^n x Z^m) generated by pseudo-differential operators.. Mathematika 61, 402-413.
  4. & On a class of pseudo-differential operators on R^n x Z^m generating Feller semigroups. Revue Roumaine de Mathematiques Pures et Appliquees 59, 55-75.
  5. & Solving a non-linear stochastic pseudo-differential equation of Burgers type. Stochastic Processes and their Applications 120(12), 2447-2467.

See more...

Teaching

  • MA-301 Complex Variables

    The module approaches the theory of complex analytic functions; including concepts of Cauchy-Riemann equations, power series, Laurent series and residue calculus.

  • MA-384 Fourier Analysis

    An introduction to the analysis of functions by their Fourier series

  • MA-M84 Fourier Analysis

    An introduction to Fourier Analysis

  • MAW301 Newidynnau Cymhlyg

    Mae'r modiwl hwn yn ystyried y theori o ffwythiannau analytig cymhlyg; gan gynnwys cysyniadau o hafaliadau Cauchy-Riemann, cyfresi pwer, cyfresi Laurent a chalcwlws gweddill.

Supervision

  • Extended Dirichlet spaces and unitary one-parameter groups associated with self-adjoint Dirichlet operators (current)

    Student name:
    PhD
    Other supervisor: Dr Andrew Neate
  • Topics on Hamiltonian Dynamics Related to symbols of certain Schrodinger operators associated with generators of Levy processes. (awarded 2018)

    Student name:
    PhD
    Other supervisor: Prof Elaine Crooks
  • ''Transition Densities of certain Levy Processes and Related Metric Measure Spaces.'' (awarded 2017)

    Student name:
    MRes
    Other supervisor: Prof Eugene Lytvynov