Applications of P-adic generalized functions and approximations by a system of p-adic translations of a function
✍ Scribed by S. S. Volosivets
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2009
- Tongue
- English
- Weight
- 235 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0037-4466
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## Abstract The __p__‐adic Colombeau‐Egorov algebra of generalized functions on ℚ__^n^~p~__ is constructed. For generalized functions the operations of multiplication, Fourier‐transform, convolution, taking pointvalues are defined. The operations of (fractional) partial differentiation and (fractio
Schneider and Stuhler have defined Euler᎐Poincare functions of irreducible ŕepresentations of reductive p-adic groups and calculated their orbital integrals. Orbital integrals belong to a larger family of invariant distributions appearing in the geometric side of the Arthur᎐Selberg trace formula. We