On a conjecture of J. E. Littlewood.
On a Conjecture of Littlewood Concerning Exponentials Sums, II
On a Formula for Haar Measure in Compact Groups.
On a generalization of Fourier series
On a generalization of Hankel kernel.
On a generalization of Lipschitz's classes.
On a generalization of the martingale maximal theorem
On a Hilbert-type transform
On a local property of summability of Fourier series
On a Monotonic Trigonometric Sum.
On a Multiplier Transform
On a new kind of 2-periodic trigonometric interpolation
It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period . We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical...
On a positive sine sum
On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
On a problem of Littlewood.
On a property of the Fourier transform.
On a sum of Vinogradov
On a Theorem of Ingham.
On a theorem of Kłosowska about generalised convolutions
On a theorem of Saeki concerning convolution squares of singular measures
If , then there exists a probability measure such that the Hausdorff dimension of the support of is and is a Lipschitz function of class .