We consider an -dimensional version of the functional equations of Aczél and Chung in the spaces of generalized functions such as the Schwartz distributions and Gelfand generalized functions. As a result, we prove that the solutions of the distributional version of the equation coincide with those of classical functional equation.</p
AbstractThe distributional equation of a semi-classical linear functional allows us an efficient stu...
We construct an algebra of generalized functions $^*\mathcal{E}(\mathbb{R}^d)$. We also construct an...
AbstractIn this paper, we shall apply an operator method for casting and solving the distributional ...
We consider an n-dimensional version of the functional equations of Aczél and Chung in the spaces o...
Abstract. Making use of the theory of Schwartz distributions we consider a class of generalized loga...
peer reviewedIn this paper we study the Fréchet functional equation in the n-dimensional Euclidian s...
This self-contained treatment develops the theory of generalized functions and the theory of distrib...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
In a simple but mathematically coherent manner, this text examines the basis of the distribution the...
We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(...
We construct an algebra of generalized functions endowed with a canonical embedding of the space of ...
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
AbstractMaking use of the fundamental solution of the heat equation we prove the stability theorems ...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functi...
In this thesis we calculate a series expansion for automorphic distributions on the Lie group for t...
AbstractThe distributional equation of a semi-classical linear functional allows us an efficient stu...
We construct an algebra of generalized functions $^*\mathcal{E}(\mathbb{R}^d)$. We also construct an...
AbstractIn this paper, we shall apply an operator method for casting and solving the distributional ...
We consider an n-dimensional version of the functional equations of Aczél and Chung in the spaces o...
Abstract. Making use of the theory of Schwartz distributions we consider a class of generalized loga...
peer reviewedIn this paper we study the Fréchet functional equation in the n-dimensional Euclidian s...
This self-contained treatment develops the theory of generalized functions and the theory of distrib...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
In a simple but mathematically coherent manner, this text examines the basis of the distribution the...
We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(...
We construct an algebra of generalized functions endowed with a canonical embedding of the space of ...
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
AbstractMaking use of the fundamental solution of the heat equation we prove the stability theorems ...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functi...
In this thesis we calculate a series expansion for automorphic distributions on the Lie group for t...
AbstractThe distributional equation of a semi-classical linear functional allows us an efficient stu...
We construct an algebra of generalized functions $^*\mathcal{E}(\mathbb{R}^d)$. We also construct an...
AbstractIn this paper, we shall apply an operator method for casting and solving the distributional ...
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