Results 151 to 160 of about 1,218,489 (324)

Subcritical Fourier uncertainty principles

It is well known that if a function $f$ satisfies $$\|f(x) e^{πα|x|^2}\|_p + \| \widehat{f}(ξ) e^{πα|ξ|^2} \|_q<\infty \qquad\qquad\qquad(*)$$ with $α=1$ and $1\le p,q<\infty$, then $f\equiv 0.$ We prove that if $f$ satisfies $(*)$ with some $0<α<1$ and $1\le p,q\leq \infty$, then $$ |f(y)|\le C (1+|y|)^{\frac{d}{p}} e^{- πα|y|^2 ...
Saucedo, Miquel, Tikhonov, Sergey
openaire   +2 more sources

From Bug to Feature: Harnessing Cross‐Sensitivity for Multiparametric Luminescence Sensing

Advanced Functional Materials, EarlyView.
Cross‐sensitivity in luminescence sensing is reframed from a limitation into a resource for multiparametric detection. Using ruby microspheres as a model system, cross‐sensitivity is quantitatively assessed and exploited through linear discriminant analysis, enabling simultaneous, correction‐free pressure and temperature sensing with a single ...
Nikita Panov, Liyan Ming, Stanislav Sinogeikin, Erving Ximendes, Daniel Jaque, Riccardo Marin   +5 more
wiley   +1 more source

Hardy Uncertainty Principle for Low Dimensional Nilpotent Lie Groups G₄ (III)

, 1970
CR Bhatta
openalex   +2 more sources

An uncertainty principle for arithmetic sequences [PDF]

, 2007
Andrew Granville, K. Soundararajan
openalex   +1 more source

Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes

Advanced Functional Materials, EarlyView.
The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray, Zoe Grämiger, André R. Studart, Rafael Libanori   +3 more
wiley   +1 more source

A Reformulative Retouch on the Fourier Transform – “Unprincipled” Uncertainty Principle

, 2012
Csaba Szántay, S L McElroy
openalex   +1 more source

A least microenvironmental uncertainty principle (LEUP) as a generative model of collective cell migration mechanisms [PDF]

, 2018
Arnab Barua, Josué Manik Nava-Sedeño, Haralampos Hatzikirou   +2 more
openalex   +1 more source

The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
doaj   +1 more source

Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?

Advanced Functional Materials, EarlyView.
This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee, Yunseo Kim, Hyeong‐ku Jo, Dongjoon Yoon, Byeonghyeok Im, WonJeong Yu, Eui‐Rim On, Changhwan Lee   +7 more
wiley   +1 more source

An optimal uncertainty principle in twelve dimensions via modular forms [PDF]

, 2019
Henry Cohn, Felipe Gonçalves
openalex   +1 more source