On a Class of Functional Equations in Distribution
โ Scribed by Elias Deeba; P.K Sahoo; Shishen Xie
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 173 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let S q (n) denote the sum of digits of n in base q. For given pairwise coprime bases q 1 , ..., q l and arbitrary residue classes a i mod m i (i=1, ..., l), we obtain an estimate with error term O(N 1&$ ) for the quantity which extends results of J. Be sineau and establishes a conjecture of A. O.
## Abstract In this paper the functional equation will be reformulated in distributions. Operators in appropriate function spaces will be introduced to mirror functional operations. Then a solution will be given for the equation in distributions. Finally it is pointed out that for regular distribu
A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert ลฝ . ลฝ . space H โฌ and the Banach space H โฌ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.