Results 11 to 20 of about 100,994 (269)
Partial Differential Equations in Applied Mathematics, 2022 In this paper, two modified KdV (MKdV) equations, one is real and the other is complex, are investigated. By applying the Hirota bilinear operator theory and computer algebra, the corresponding bilinear forms of these two MKdV equations are successfully ...
Yong-Li Sun, Jian-Ping Yu
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Fractal and Fractional, 2023 Considering the case of a continual bundle of controlled dynamic processes, the authors have studied the functional-geometric conditions of existence of non-stationary coefficients-operators from the differential realization of this bundle in the class ...
V. A. Rusanov +3 more
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
Vector valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems [PDF]
, 2012 Muscalu, Pipher, Tao and Thiele \cite{MPTT} showed that the tensor product between two one dimensional paraproducts (also known as bi-parameter paraproduct) satisfies all the expected $L^p$ bounds.
Bateman +11 more
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Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus
Journal of High Energy Physics, 2022 In this work, we perturbatively calculate the modular Hamiltonian to obtain the entanglement entropy in a free fermion theory on a torus with three typical deformations, e.g., T T ¯ $$ T\overline{T} $$ deformation, local bilinear operator deformation ...
Song He, Zhang-Cheng Liu, Yuan Sun
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Singular Bilinear Integrals in Quantum Physics
Mathematics, 2015 Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
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Estimates for Commutators of Bilinear Fractional p-Adic Hardy Operator on Herz-Type Spaces
Journal of Function Spaces, 2021 In the current article, we investigate the boundedness of commutators of the bilinear fractional p-adic Hardy operator on p-adic Herz spaces and p-adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and ...
Amjad Hussain +3 more
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]
, 2019 We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David +1 more
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Order bounded orthosymmetric bilinear operator [PDF]
Czechoslovak Mathematical Journal, 2011 The paper presents a new purely algebraic proof of the statement that every order-bounded orthosymmetric bilinear operator \(b\: E\times E\rightarrow F\), where \(E\), \(F\) are Archimedean vector lattices, is symmetric. As a conclusion, a new and short proof of the commutativity of Archimedean almost \(f\)-algebras is given.
openaire +1 more source
Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents
Journal of Function Spaces, 2019 In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.
Shengrong Wang, Jingshi Xu
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