Results 1 to 10 of about 62,545 (283)
Unconditionality, Fourier multipliers and Schur multipliers [PDF]
Colloquium Mathematicum, 2011 Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^2(G)$ has the property that $T\ot Id_X$ is bounded on $L^2(G,X)$ then the Banach space $X$ is isomorphic to a Hilbert
Arhancet, Cédric
core +3 more sources
NONCOMMUTATIVE DE LEEUW THEOREMS
Forum of Mathematics, Sigma, 2015 Let $\text{H}$ be a subgroup of some locally compact group $\text{G}$. Assume that $\text{H}$ is approximable by discrete subgroups and that $\text{G}$ admits neighborhood bases which are almost invariant under conjugation by finite subsets of $\text{H}$.
MARTIJN CASPERS +3 more
doaj +5 more sources
Fourier multiplier theorems involving type and cotype [PDF]
Journal of Fourier Analysis and Applications, 2017 In this paper we develop the theory of Fourier multiplier operators $T_{m}:L^{p}(\mathbb{R}^{d};X)\to L^{q}(\mathbb{R}^{d};Y)$, for Banach spaces $X$ and $Y$, $1\leq p\leq q\leq \infty$ and $m:\mathbb{R}^d\to \mathcal{L}(X,Y)$ an operator-valued symbol ...
Rozendaal, Jan, Veraar, Mark
core +5 more sources
A quantum multiplier based on the quantum Fourier transform algorithm
Dianzi Jishu Yingyong, 2022 Multiplier is one of the basic units in many quantum algorithms. In order to implement the multiplying operations and use as few auxiliary qubits in the quantum circuit as possible, a quantum multiplier based on the quantum Fourier transform is proposed.
Qian Junkai, Zhu Jialiang, Ye Bin
doaj +1 more source
Generalized Fourier multipliers
Annals of Functional Analysis, 2023 In this paper, the authors introduce and study a class of linear operators defined on a separable Hilbert space \(\mathcal{H}\). Generalized Fourier multipliers are defined using abstract Fourier theory on separable Hilbert spaces. The main goal of this paper is to give and prove some results regarding the boundedness, compactness, and Schatten-von ...
Viorel Catană +2 more
openaire +1 more source
The dimension-free estimate for the truncated maximal operator
Open Mathematics, 2022 We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
doaj +1 more source
Fourier Multipliers on Lipschitz Curves [PDF]
Transactions of the American Mathematical Society, 1992 We develop the theory of Fourier multipliers acting on L p ( γ ) {L_p}(\gamma ) where γ \gamma is a Lipschitz curve of the form γ = { x + i g ( x ) } \gamma =
McIntosh, Alan, Qian, Tao
openaire +2 more sources
Fourier multipliers on graded Lie groups [PDF]
Colloquium Mathematicum, 2021 23 ...
Ruzhansky, M, Fischer, V
openaire +4 more sources
Equivalent Characterization on Besov Space
Abstract and Applied Analysis, 2021 In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm.
Cong He, Jingchun Chen
doaj +1 more source
Fourier Multipliers and Dirac Operators [PDF]
Advances in Applied Clifford Algebras, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nolder, Craig A., Wang, Guanghong
openaire +1 more source