All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 5 Next

Displaying 81 – 100 of 462

Showing per page

A martingale approach to general Franklin systems

Anna Kamont, Paul F. X. Müller (2006)

Studia Mathematica

We prove unconditionality of general Franklin systems in L p ( X ) , where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.

A method for the calculus of Bernstein's polynomial.

Albert Llamosí (1980)

Stochastica

A systematic method for the calculus of Bernstein's polynomial is described. It consists of reducing the problem to a homogeneous linear system of equations that may be constructed by fixed rules. Several problems about its computer implementation are discussed.

A multidimensional distribution sampling theorem

Francisco Javier González Vieli (2011)

Commentationes Mathematicae Universitatis Carolinae

Using Bochner-Riesz means we get a multidimensional sampling theorem for band-limited functions with polynomial growth, that is, for functions which are the Fourier transform of compactly supported distributions.

A multiparameter variant of the Salem-Zygmund central limit theorem on lacunary trigonometric series

Mordechay B. Levin (2013)

Colloquium Mathematicae

We prove the central limit theorem for the multisequence ∑ 1 ≤ n ₁ ≤ N ₁ ⋯ ∑ 1 ≤ n d ≤ N d a n ₁ , . . . , n d c o s ( ⟨ 2 π m , A ₁ n ₁ . . . A d n d x ⟩ ) where m ∈ ℤ s , a n ₁ , . . . , n d are reals, A ₁ , . . . , A d are partially hyperbolic commuting s × s matrices, and x is a uniformly distributed random variable in [ 0 , 1 ] s . The main tool is the S-unit theorem.

A multiplier theorem for Fourier series in several variables

Nakhle Asmar, Florence Newberger, Saleem Watson (2006)

Colloquium Mathematicae

We define a new type of multiplier operators on L p ( N ) , where N is the N-dimensional torus, and use tangent sequences from probability theory to prove that the operator norms of these multipliers are independent of the dimension N. Our construction is motivated by the conjugate function operator on L p ( N ) , to which the theorem applies as a particular example.

A multiplier theorem for the Hankel transform.

Rafal Kapelko (1998)

Revista Matemática Complutense

Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).

A necessary condition for HK-integrability of the Fourier sine transform function

Juan H. Arredondo, Manuel Bernal, Maria G. Morales (2025)

Czechoslovak Mathematical Journal

The paper is concerned with integrability of the Fourier sine transform function when f ∈ BV 0 ( ℝ ) , where BV 0 ( ℝ ) is the space of bounded variation functions vanishing at infinity. It is shown that for the Fourier sine transform function of f to be integrable in the Henstock-Kurzweil sense, it is necessary that f / x ∈ L 1 ( ℝ ) . We prove that this condition is optimal through the theoretical scope of the Henstock-Kurzweil integration theory.

Currently displaying 81 – 100 of 462