Relation of Magnetic and Gravity Field Data to Selected Structural Elements of the Central Portion of the Arkoma Basin

In order to acquire a greater understanding of some of the major basement structural features characteristic of the Arkoma basin, magnetic and gravity data have been collected and analyzed for a selected area. Several anomalies exist and are found to be associated with faulting or major fracturing in the Precambrian basement. Modelling of source bodies based on magnetic and gravity values provides quantitative estimates of the depth as well as the geometry of basement structural geology

A distributional approach to fragmentation equations

We consider a linear integro-di®erential equation that models multiple fragmentation with inherent mass-loss. A systematic procedure is presented for constructing a space of generalised functions Z0 in which initial-value problems involving singular initial conditions such as the Dirac delta distribution can be analysed. The procedure makes use of results on sun dual semigroups and quasi-equicontinuous semigroups on locally convex spaces. The existence and uniqueness of a distributional solution to an abstract version of the initial-value problem are established for any given initial data u0 in Z0

The detailed characterization of Martian impact craters from the 1/16 degree MOLA global topography grid

We describe a new project to obtain a global characterisation of Martian impact crater morphology from the 1/16 degree MOLA topography dataset. A new mathematical method applicable to both symmetric and asymmetric craters is used

A Note on Dirac Operators on the Quantum Punctured Disk

We study quantum analogs of the Dirac type operator $-2\bar{z}\frac{\partial}{\partial\bar{z}}$ on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode