This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier series, and the "Wiener-Lévy functions", meaning functions that preserve absolute convergence of Fourier series under composition. Results regarding the properties of functions in the Wiener algebra are established, as well as properties of Wiener-Lévy functions. By the Wiener-Lévy Theorem, analyticity is a sufficient condition for a function to be a Wiener-Lévy function, and in this paper, we find the necessary condition of being real analytic in the real and imaginary variable, separately
AbstractLet (X, H, μ) be a real abstract Wiener space. A new definition of analytic functions on X i...
Abstract. We formulate and derive a generalization of an orthogonal rational-function basis for spec...
In Part I we introduced the generalized Wiener rational basis functions, and here in Part II we cont...
This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier ser...
This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier ser...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The purpose of this note is to give an abstract formulation of the Wiener-Levy theorem concerning Fo...
In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
In the present thesis we study the different problems concerning the Fourier series of function of W...
In the present thesis we study the different problems concerning the Fourier series of function of W...
ABSTRACT is a str iet inc l us ion. Benee for an arbi t r ary 1 < P < co, Wiener ' s clas...
Abstract. Let f denote a 2pi periodic function in L[0, 2pi], and f̂(n), n ∈ Z, be its Fourier coeffi...
We study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener alg...
AbstractLet (X, H, μ) be a real abstract Wiener space. A new definition of analytic functions on X i...
Abstract. We formulate and derive a generalization of an orthogonal rational-function basis for spec...
In Part I we introduced the generalized Wiener rational basis functions, and here in Part II we cont...
This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier ser...
This thesis concerns the Wiener algebra of periodic functions with absolutely convergent Fourier ser...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The purpose of this note is to give an abstract formulation of the Wiener-Levy theorem concerning Fo...
In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
In the present thesis we study the different problems concerning the Fourier series of function of W...
In the present thesis we study the different problems concerning the Fourier series of function of W...
ABSTRACT is a str iet inc l us ion. Benee for an arbi t r ary 1 < P < co, Wiener ' s clas...
Abstract. Let f denote a 2pi periodic function in L[0, 2pi], and f̂(n), n ∈ Z, be its Fourier coeffi...
We study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener alg...
AbstractLet (X, H, μ) be a real abstract Wiener space. A new definition of analytic functions on X i...
Abstract. We formulate and derive a generalization of an orthogonal rational-function basis for spec...
In Part I we introduced the generalized Wiener rational basis functions, and here in Part II we cont...