International audienceWe study Ramanujan-Fourier series of certain arithmetic functions of two variables. We generalize Delange's theorem to the case of arithmetic functions of two variables and give sufficient conditions for pointwise convergence of Ramanujan-Fourier series of arithmetic functions of two variables. We also give several examples which are not obtained by trivial generalizations of results on Ramanujan-Fourier series of functions of one variable
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates ...
The famous mathematician S. Ramanujan introduced a summation in 1918, now known as the Ramanujan sum...
This thesis focuses entirely on conjugate series to Fourier's ones. It provides a quick and intuitiv...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
This thesis is an analysis of convergence results on Fourier series. Convergence of Fourier series i...
Abstract. It is a classical result that dyadic partial sums of the Fourier series of function
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as...
AbstractBy establishing uniform convergence of some of Ramanujan's continued fractions, we are able ...
AbstractSufficient conditions are established for the pointwise convergence of square partial sums o...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The functional series, and especially the Fourier series, are an important mathematical apparatus ex...
AbstractA theorem on the Nörlund summability of double Fourier series has been established; it gener...
It is well known that to each summable in the n -dimensional cube [ − π , π ] n function f of variab...
AbstractFor classes of functions with convergent Fourier series, the problem of estimating the rate ...
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates ...
The famous mathematician S. Ramanujan introduced a summation in 1918, now known as the Ramanujan sum...
This thesis focuses entirely on conjugate series to Fourier's ones. It provides a quick and intuitiv...
International audienceWe give a short survey of old and new results in the theory of Ramanujan expan...
This thesis is an analysis of convergence results on Fourier series. Convergence of Fourier series i...
Abstract. It is a classical result that dyadic partial sums of the Fourier series of function
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as...
AbstractBy establishing uniform convergence of some of Ramanujan's continued fractions, we are able ...
AbstractSufficient conditions are established for the pointwise convergence of square partial sums o...
The purpose of this thesis is to formulate and proof some theorems about convergences of Fourier ser...
The functional series, and especially the Fourier series, are an important mathematical apparatus ex...
AbstractA theorem on the Nörlund summability of double Fourier series has been established; it gener...
It is well known that to each summable in the n -dimensional cube [ − π , π ] n function f of variab...
AbstractFor classes of functions with convergent Fourier series, the problem of estimating the rate ...
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates ...
The famous mathematician S. Ramanujan introduced a summation in 1918, now known as the Ramanujan sum...