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- Title
p-Adic integral operators in wavelet bases.
- Authors
Kozyrev, S. V.; Khrennikov, A. Yu.
- Abstract
The article presents a study on a wide class of p-adic integral operators in bases of p-adic wavelets. It explores how the natural filtration of the space of p-adic mean zero test functions preserves the operators of the class of the p-adic integral operators. It illustrates that the matrix elements of the corresponding matrices of the p-adic integral operators are considered only to be nonzero on a finite number of main diagonals, referred to as finite diagonals. The statement of the problem of the p-adic integral operators approximate real integral operators is discussed through the theory of approximations.
- Subjects
P-adic fields; P-adic analysis; WAVELETS (Mathematics); INTEGRAL operators; MATRICES (Mathematics); APPROXIMATION theory; FINITE differences; UNIT ball (Mathematics); MATHEMATICS
- Publication
Doklady Mathematics, 2011, Vol 83, Issue 2, p209
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562411020220