On the wavelet transform in the field Qp of p-adic numbers
โ Scribed by Cui Minggen; GuangHong Gao; Phil Ung Chung
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 86 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1063-5203
No coin nor oath required. For personal study only.
โฆ Synopsis
In the present article we shall define the notion of the wavelet transform on Q p and we shall show that, for any given admissible function h โ L 2 (Q p ), satisfying (15), which is a step function, the wavelet transform of a step function f be a function of norms, and moreover be expressible to a summation form.
๐ SIMILAR VOLUMES
## 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
We found the asymptotics, p ร , for the number of cycles for iteration of monomial functions in the fields of p-adic numbers. This asymptotics is closely connected with classical results on the distribution of prime numbers.
Let Kรk be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi