Results 51 to 60 of about 2,222 (252)
On the differential and Volterra-type integral operators on Fock-type spaces [PDF]
, 2022 The differential operator fails to admit some basic structures including continuity when it acts on the classical Fock spaces or weighted Fock spaces, where the weight functions grow faster than the classical Gaussian weight function. The same conclusion
Mengestie, Tesfa Yigrem
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A matrix acting between Fock spaces
Journal of Inequalities and ApplicationsIf H ν = ( ν n , k ) n , k ≥ 0 $\mathcal{H}_{\nu}=(\nu _{n,k})_{n,k\geq 0}$ is the matrix with entries ν n , k = ∫ [ 0 , ∞ ) t n + k n ! d ν ( t ) $\nu _{n,k}=\int _{[0,\infty )}\frac{ t^{n+k}}{n!}\,d\nu (t)$ , where ν is a nonnegative Borel measure on ...
Zhengyuan Zhuo +2 more
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On the product of Toeplitz and composition operators on Fock-Sobolev spaces
四川大学学报. 自然科学版, 2021 We characterize the boundedness of the product of Toeplitz and composition operators for two polynomials symbols on Fock-Sobolev spaces. We also consider the commutativity of Toeplitz and composition operator, and obtain several necessary and sufficient ...
QIN Jie, WANG Xiao-Feng
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Quasi-isomorphisms of cluster algebras and the combinatorics of webs (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We provide bijections between the cluster variables (and clusters) in two families of cluster algebras which have received considerable attention. These cluster algebras are the ones associated with certain Grassmannians of k-planes, and those associated
Chris Fraser
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Polynomial Representations and Categorifications of Fock Space [PDF]
Algebras and Representation Theory, 2012 The rings of symmetric polynomials form an inverse system whose limit, the ring of symmetric functions, is the model for the bosonic Fock space representation of the affine Lie algebra. We categorify this construction by considering an inverse limit of categories of polynomial representation of general linear groups.
Hong, Jiuzu, Yacobi, Oded
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Advanced Intelligent Discovery, EarlyView.We report a novel interpretation method for deep learning models based on feature extraction and clustering. Applying this method to an atomistic line graph neural network (ALIGNN) model trained on optical absorption spectra of 2,681 inorganic compounds obtained from first‐principles calculations, we successfully identify key factors underlying ...
Akira Takahashi +3 more
wiley +1 more source
Chemical Physics Impact, 2022 Superatom molecular orbitals (SAMOs) are atom-like molecular orbitals that have been observed in the buckminsterfullerene C60 molecule. We studied the ice-like water cluster (H2O)10 that is expected to be ubiquitous in nature in nanoscale ...
Javier Hernandez-Ortega +4 more
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Advanced Physics Research, EarlyView.ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman +4 more
wiley +1 more source
SO2 Transfer Enabled by an Easy‐to‐Handle Ionic Liquid
Chemistry – A European Journal, EarlyView.Best of both worlds: The ionic liquid [NEt3Me][Cl(SO2)n] unites the atom economy and low cost of sulfur dioxide with the safety and applicability of common surrogates, streamlining SO2 transfer to access to 3‐sulfolenes, sulfonamides, and SuFEx reagents.
Johanna S. Sturm +11 more
wiley +1 more source
Boundedness and Compactness Of Generalized Integration Operators on Fock Spaces [PDF]
, 2022 Different properties of Volterra-type integral operator have been studied in the past two decades on several functional spaces. In particular, on Fock spaces boundedness and compactness of the operator was studied by (Constantin, 2012) and (Mengestie ...
Hafiz A/Bor +2 more
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