On the degree of convergence of Borel and Euler means of trigonometric series
Displaying 141 – 160 of 231
On the degree of strong approximation of continuous functions by special matrix.
Szal, Bogdan (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On the degree of strong approximation of integrable functions.
Łenski, Włodzimierz (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On the degree of strong approximation of integrable functions in Stepanov sense
Włodzimierz Łenski, Bogdan Szal (2014)
Banach Center Publications
Considering the class of almost periodic functions integrable in the Stepanov sense we extend and generalize certain results of the first author, as well as of L. Leindler and P. Chandra.
On the Dirichlet and Neumann problems in multi-dimensional cone
Vladimir Vasilyev (2014)
Mathematica Bohemica
We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems,...
On the distribution of zeros of exponential polynomials
A. J. Poorten (1976)
Mathematica Slovaca
On the distribution on the roots of polynomials
Francesco Amoroso, Maurice Mignotte (1996)
Annales de l'institut Fourier
Using classical results on conjugate functions, we give very short proofs of theorems of Erdös–Turán and Blatt concerning the angular distribution of the roots of polynomials. Then we study some examples.
On the dual of weighted
Richard Wheeden (1979)
Banach Center Publications
On the summation of the Fourier series
Vikramaditya Singh (1980)
Mathematica Slovaca
On the embedding
Ondrej Kováčik (1993)
Mathematica Slovaca
On the existence of a compactly supported -solution for two-dimensional two-scale dilation equations
Jarosław Kotowicz (1997)
Applicationes Mathematicae
Necessary and sufficient conditions for the existence of compactly supported -solutions for the two-dimensional two-scale dilation equations are given.
On the finite Fourier transforms of functions with infinite discontinuities.
Saric, Branko (2002)
International Journal of Mathematics and Mathematical Sciences
On the Fourier Coefficients of a Function of Lambda - Bounded Variation
Masaaki Shiba (1981)
Publications de l'Institut Mathématique
On the Fourier series of functions of bounded Φ-variation
Albert Baernstein (1972)
Studia Mathematica
On the Fourier transform of
Hyeonbae Kang (1991)
Studia Mathematica
On the Fourier transform of the symmetric decreasing rearrangements
Philippe Jaming (2011)
Annales de l’institut Fourier
Inspired by work of Montgomery on Fourier series and Donoho-Strak in signal processing, we investigate two families of rearrangement inequalities for the Fourier transform. More precisely, we show that the behavior of a Fourier transform of a function over a small set is controlled by the behavior of the Fourier transform of its symmetric decreasing rearrangement. In the case, the same is true if we further assume that the function has a support of finite measure.As a byproduct, we also give...
On the Fourier Transformation of Positive, Positive Definite Measure on Commutative Hypergroups, and Dual Convolution Structures.
Michael Voit (1991)
Manuscripta mathematica
On The Frequency With Which Bounded Functions Have Spectral Gaps
Richard Bieberich (1982)
Publications de l'Institut Mathématique
On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform
Lasha Ephremidze (2003)
Studia Mathematica
The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized to the ergodic Hilbert transform.
On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
Hiroshi Isozaki (1982)
Journal für die reine und angewandte Mathematik