Sökning: "Residue calculus"
Hittade 5 avhandlingar innehållade orden Residue calculus.
1. On residue currents and multivariable operator calculus
Sammanfattning : .... LÄS MER
2. An analytic approach to Briancon-Skoda type theorems
Sammanfattning : The Briancon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. LÄS MER
3. On Amoebas and Multidimensional Residues
Sammanfattning : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. LÄS MER
4. Differential forms and currents on non-reduced complex spaces with applications to divergent integrals and the dbar-equation
Sammanfattning : This thesis consists of three papers in which we study differential forms and currents on complex spaces. An important tool for us is the theory of residue currents. In Paper I we study divergent integrals over singular differential forms on a complex manifold. The differential form should have a pole along a complex hypersurface. LÄS MER
5. Airborne sound insulation of single and double plate constructions
Sammanfattning : The sound insulation demands for dwellings and public building has increased over the years as the number of sound sources has grown. From the outside our homes are exposed to noise from cars, trains, airplanes, etc. Noise intrudes from our neighbours and their television and stereo equipments. LÄS MER