Results 41 to 50 of about 7,386 (155)
The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Regularity of the $$p-$$Bergman kernel
To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
openaire +3 more sources
This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
wiley +1 more source
22 pages. All comments are welcome!
Bao, Shijie, Guan, Qi'an, Yuan, Zheng
openaire +2 more sources
Asymptotics of Bergman kernels
We give an elementary proof of the existence of an asymptotic expansion in powers of $k$ of the Bergman kernel associated to $L^k$, where $L$ is a positive line bundle. We also give an algorithm for computing the coefficients in the expansion.
Berman, Robert +2 more
openaire +2 more sources
Bicomplex Bergman spaces on bounded domains
The bicomplex Bergman spaces are studied for any bounded bicomplex domain. Its Bergman kernel is computed in terms of the kernels of the complex projections of the domain.
Perez-Regalado, Cesar O. +1 more
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Abstract In tropical forests today, hunting for food and income remains largely unsustainable, with adverse implications for biodiversity, ecological services, and human wellbeing. Even though our scientific knowledge of the issue has improved greatly in recent years, the situation on the ground has not. This Perspective presents our opinions and ideas
David S. Wilkie +3 more
wiley +1 more source
A mechanistic porous‐medium model of pork loin roasting integrates heat and mass transfer with protein denaturation and anisotropy, predicting temperature, moisture, and swelling pressure. Dripping, rather than evaporation, is identified as the primary cause of weight loss, and the effects of oven humidity and anisotropy on cooking are quantified ...
Jhony T. Teleken +4 more
wiley +1 more source
Curvature of vector bundles and subharmonicity of Bergman kernels
In a previous paper, \cite{Berndtsson}, we have studied a property of subharmonic dependence on a parameter of Bergman kernels for a family of weighted $L^2$-spaces of holomorphic functions.
Berndtsson, Bo
core

