Results 51 to 60 of about 211 (159)

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

ON LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES

International Journal of Research -GRANTHAALAYAH, 2017
In this article, we shall introduce the concept of lacunary arithmetic statistical continuity for double sequences and investigate some inclusion ...
M. M. Karagama, F. B. Ladan
openaire   +3 more sources

Lacunary A–statistical convergence and lacunary strong A–convergence sequences of order (α, β) with respect to a modulus [PDF]

AIP Conference Proceedings, 2019
In this paper, the definitions of lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha,beta) are given. We study some connections between lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha ...
Şengül, Hacer, Et, Mikail, Cakalli, Hüseyin   +2 more
openaire   +2 more sources

Completeness of sparse, almost integer, and finite local complexity sequences of translates in Lp(R)$L^p(\mathbb {R})$

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract A real sequence Λ={λn}n=1∞$\Lambda = \lbrace \lambda _n\rbrace _{n=1}^\infty$ is called p$p$‐generating if there exists a function g$g$ whose translates {g(x−λn)}n=1∞$\lbrace g(x-\lambda _n)\rbrace _{n=1}^\infty$ span the space Lp(R)$L^p(\mathbb {R})$.
Nir Lev, Anton Tselishchev
wiley   +1 more source

Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications

ChemistryEurope, Volume 4, Issue 4, April 2026.
This review systematically summarizes the integration of polyoxometalates with covalent organic frameworks, metal‐organic frameworks, hydrogen‐bonded organic frameworks, and emerging porous hosts. It highlights synergistic effects, synthesis strategies, and applications in catalysis, energy storage, sensing, and biomedicine, while addressing current ...
De‐Yin Wang, Zhang‐Di Liu, Rui Xing, Zi‐Hao Wei, Zaixiang Zhang, Yang Yang, Jin Zhu   +6 more
wiley   +1 more source

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

On some aspects of lacunary I $\mathcal{I}$ -statistical convergence and its applications in approximation theory via power series method

Journal of Inequalities and Applications
This paper introduces and systematically explores the notion of deferred I $\mathcal{I}$ -lacunary statistical convergence and strongly deferred I $\mathcal{I}$ -lacunary Cesàro convergence for sequences of real numbers, unifying deferred intervals ...
Xiu-Liang Qiu, Humma Javed Sheikh, Kuldip Raj, Qing-Bo Cai   +3 more
doaj   +1 more source

More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal–Oxo Assembly

Angewandte Chemie International Edition, Volume 65, Issue 13, 23 March 2026.
Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Nadiia I. Gumerova, Annette Rompel
wiley   +1 more source

On strongly I and I*-lacunary convergence of sequences of sets [PDF]

AIP Conference Proceedings, 2014
In this paper we study the concepts of Wijsman strongly lacunary convergence, Wijsman strongly I-lacunary convergence, Wijsman strongly I*-lacunary convergence and Wijsman strongly I-lacunary Cauchy sequences of sets and investigate the relationship between them.
Sever, Yurdal, Ulusu, Uğur, Dündar, Erdinç   +2 more
openaire   +4 more sources

Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets

International Journal of Analysis and Applications, 2018
In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary convergence.
Esra Gulle, Ugur Ulusu
doaj   +2 more sources