Claire C. Ralph is currently a Department of Energy Computational Science Graduate Fellow at Cornell University where she is pursuing her doctorate in theoretical chemistry. Her thesis research is in developing efficient, highly parallel algorithms for quantum mechanical computations.
Inhaltsangabe
1. Introduction 2. The p-adic numbers Q_p 3. Some classical analysis on Q_p 4. Analytic functions on Z_p 5. Arithmetic differential operators on Z_p 6. A general view of arithmetic differential operators 7. Analyticity of arithmetic differential operators 8. Characteristic functions: standard p-adic coordinates 9. Characteristic functions: harmonic arithmetic coordinates 10. Differences between arithmetic differential operators over Z_p and Z_p^{unr} References.
1. Introduction 2. The p-adic numbers Q_p 3. Some classical analysis on Q_p 4. Analytic functions on Z_p 5. Arithmetic differential operators on Z_p 6. A general view of arithmetic differential operators 7. Analyticity of arithmetic differential operators 8. Characteristic functions: standard p-adic coordinates 9. Characteristic functions: harmonic arithmetic coordinates 10. Differences between arithmetic differential operators over Z_p and Z_p^{unr} References.
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