4- https://doi.org/10.1515/apam-2016-0016
Wilson’s type Hilbert space valued functional equations
- Jan 1, 2016
- Advances in Pure and Applied Mathematics
- Driss Zeglami +2 more
Abstract
Abstract In the present paper we characterize, in terms of characters, additive functions and matrix elements of irreducible two-dimensional representations, the continuous solutions of some trigonometric functional equations for mappings defined on an arbitrary group and taking their values in a complex Hilbert space with the Hadamard product. In addition, we investigate a superstability result for these equations.
- # Hadamard Product
- # Matrix Elements Of Representations
- # Additive Functions
- # Arbitrary Group
- # Complex Hilbert Space
- # Trigonometric Equations
- # Present Paper
- # Complex Space
- # Irreducible Representations
- # Solutions Of Equations
