Results 51 to 60 of about 374 (176)
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
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
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
f-lacunary statistical convergence in topological groups
In this study, we will define the concept of -lacunary statistical convergence in topological groups with the help of an unbounded modulus function.
Süleyman Sarikaya, Yavuz Altin
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Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications
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 +6 more
wiley +1 more source
Lacunary strong A-convergence with respect to a sequence of modulus functions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
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
Maximal functions with polynomial densities in lacunary directions [PDF]
Given a real polynomial p ( t ) p(t)
HARE K, RICCI, Fulvio
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Molecular charge transfer at the V12‐DyPc/MoS2 interface stabilizes trions, suppressing neutral A‐exciton emission and enabling controlled modulation of the A–‐trion population, bridging excitonic physics with polyoxometalate charge‐transport functionality.
Jean‐Pierre Glauber +10 more
wiley +1 more source
More lacunary partition functions
Let \(Q_{m,k}(n)\) denote the number of partitions of \(n\) into distinct parts \(\lambda_i\) such that (i) each \(\lambda_i\equiv 0\), \(m\pmod k\); (ii) the least part \(\lambda_1\equiv 0\pmod k\); (iii) \(2\lambda_1+ m\) does not occur as a part. Let \(Q_{m,k}^{\pm}(n)\) denote respectively the number of such partitions into evenly, oddly many parts.
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In this paper, we give a characterization of Nikol’skiĭ-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the moduli of smoothness.
Nimete Sh. Berisha +3 more
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