Results 31 to 40 of about 43,885 (218)

Potentials on abstract Wiener space

Journal of Functional Analysis, 1977
AbstractThe infinite dimensional Green measure g is shown to be a product measure and this provides sufficient conditions for the existence and the differentiability of potentials. Moreover, it is shown how such conditions can be used to prove that if f is Lip and if we set u = Gf, then first D2u is Lip too and second u satisfies Δu = −2f for a wide ...
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Gold Nanorods in Cardiac Millitissues: Assessing Mechanical and Contractile Dynamics in a Living Engineering Myocardium Model

Advanced Materials Technologies, EarlyView.
This study presents a novel platform for assessing the active mechanical behavior of living cardiac microbundles through localized nanoindentation, integrated with temperature regulation and dual‐camera imaging systems. The developed system enables quantitative evaluation of dynamic micromechanics in engineered cardiac tissues in vitro, offering ...
Lihua Lou, Lia Paolino, Alberto Sesena Rubfiaro, Jin He, Arvind Agarwal   +4 more
wiley   +1 more source

BV functions in abstract Wiener spaces

Journal of Functional Analysis, 2010
In this paper, BV functions in infinite-dimensional Banach space endowed with a Gaussian measure and related differential structure are analyzed.
AMBROSIO, Luigi, MIRANDA M, MANIGLIA S, PALLARA D.   +3 more
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Additively Manufactured Porous Ceramics as Tunable Dielectrics for Passive Temperature Sensing

Advanced Materials Technologies, EarlyView.
Porous ceramic lattices, 3D‐printed from a multicomponent oxide ink, are integrated with LC resonators for passive wireless temperature sensing. By tuning porosity, the dielectric properties and RF response are engineered to produce distinct resonant frequency shifts with temperature. The results establish a structure‐driven approach to customizing the
Sogol Heidarishahrivar, Aminul Islam, Chang Woo Gal, Insup Kim, Yeong‐Jin Choi, Woo Soo Kim   +5 more
wiley   +1 more source

Complex abstract Wiener spaces

19 ...
van Leeuwen, Tess J., Ruszel, Wioletta M.   +1 more
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Convolution and the Fourier-Wiener Transform on Abstract Wiener Space

Rocky Mountain Journal of Mathematics, 1995
\textit{J. Yeh} [Pac. J. Math. 15, 731-738 (1965; Zbl 0128.33702)] calculated the convolution and its Fourier-Wiener transform for certain classes of functionals defined on classical Wiener spaces. In the paper under review, this result is extended to functionals defined on abstract Wiener spaces.
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Midbrain PAG Astrocytes Modulate Mouse Defensive and Panic‐Like Behaviors

Advanced Science, EarlyView.
Astrocytes in the midbrain periaqueductal gray (PAG) dynamically encode threat intensity and shape defensive action selection in mice. Real‐time Ca2+ imaging reveals robust astrocytic activation during predator odor and CO2 exposure. Aberrant astrocytic Ca2+ overactivation disrupts goal‐directed escape, biases behavior toward freezing, and induces ...
Ellane Barcelon, Kyungchul Noh, Minkyu Hwang, Yoon‐Jung Kim, Unjin Lee, Yeon Joo Ryu, Je‐Kyung Ryu, Sang Beom Jun, Se‐Young Choi, Woo‐Hyun Cho, Sung Joong Lee   +10 more
wiley   +1 more source

ITÔ–WIENER CHAOS AND THE HODGE DECOMPOSITION ON AN ABSTRACT WIENER SPACE [PDF]

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
Using the structure of the Boson-Fermion Fock space and an argument taken from [P. Bieliavsky, M. Cahen, S. Gutt, J. Rawnsley and L. Schwachhofer, Symplectic connections, Int. J. Geom. Meth. Mod. Phys.3 (2006) 375–420], we give a new proof of the triviality of the L2 cohomology groups on an abstract Wiener space, alternative to that given by Shigekawa
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Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source

Pathwise Nonlinear Filtering on Abstract Wiener Spaces

The Annals of Probability, 1993
This paper is concerned with the nonlinear filtering theory on abstract Wiener spaces. The system takes the form \(y=h+\omega\) where \(h\) runs in a separable Hilbert space \(H\) and \(\omega\) runs through some Banach space \(E\). \(H\) is densely embedded in \(E\) and therefore, they form an abstract Wiener space.
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