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The phase of the Daubechies filters.

Djalil Kateb, Pierre Gilles Lemarié-Rieusset (1997)

Revista Matemática Iberoamericana

We give the first term of the asymptotic development for the phase of the N-th (minimum-phased) Daubechies filter as N goes to +∞. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+1.

The quantized Jacobi polynomials

Antonín Lukš (1987)

Aplikace matematiky

The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials.

The spectrum of singularities of Riemann's function.

Stephane Jaffard (1996)

Revista Matemática Iberoamericana

We determine the Hölder regularity of Riemann's function at each point; we deduce from this analysis its spectrum of singularities, thus showing its multifractal nature.

The wavelet characterization of the space Weak H¹

Heping Liu (1992)

Studia Mathematica

The space Weak H¹ was introduced and investigated by Fefferman and Soria. In this paper we characterize it in terms of wavelets. Equivalence of four conditions is proved.

The wavelet type systems

Barbara Wolnik (2006)

Banach Center Publications

We consider biorthogonal systems of functions on the interval [0,1] or 𝕋 which have the same dyadic scaled estimates as wavelets. We present properties and examples of these systems.

The weak type inequality for the Walsh system

Ushangi Goginava (2008)

Studia Mathematica

The main aim of this paper is to prove that the maximal operator σ is bounded from the Hardy space H 1 / 2 to weak- L 1 / 2 and is not bounded from H 1 / 2 to L 1 / 2 .

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