## 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
A generalization of Coleman’s p-adic integration theory
✍ Scribed by Amnon Besser
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 305 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
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
## Absttrct. Wx t-cfet to the p-adic genwl~rtitn sf ttrw~ transformations propcwd by Everett and Uam [ 2) , dnd remark that the case at onedimcnsional posirson space rs not included there. We g+c a study of cuch a case, tInding out some peculiar features in this paper WC shall point out particular