Results 21 to 30 of about 1,388 (218)
Hankel operators that commute with second order differential operators. [PDF]
, 2007 Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Gordon Blower, Blower, Gordon
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Nonlinear input-normal realizations based on the differential eigenstructure of hankel operators [PDF]
, 2005 This paper investigates the differential eigenstructure of Hankel operators for nonlinear systems. First, it is proven that the variational system and the Hamiltonian extension with extended input and output spaces can be interpreted as the Gâteaux ...
Fujimoto, K., +3 more
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Minimal norm Hankel operators [PDF]
, 2022 Let $\varphi$ be a function in the Hardy space $H^2(\mathbb{T}^d)$. The associated (small) Hankel operator $\mathbf{H}_\varphi$ is said to have minimal norm if the general lower norm bound $\|\mathbf{H}_\varphi\| \geq \|\varphi\|_{H^2(\mathbb{T}^d)}$ is ...
Brevig, Ole Fredrik
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The compact Hankel operators form an 𝑀-ideal in the space of Hankel operators [PDF]
Proceedings of the American Mathematical Society, 1980 The theorem in the title is proved and used to give a new proof that elements of L ∞
openaire +1 more source
Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights
Journal of Function Spaces, 2023 In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when ...
Xuedi Ma, Xiaofeng Wang, Jin Xia
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Little Hankel operators on the Bergman space
Arab Journal of Mathematical Sciences, 2016 In this paper we obtain a characterization of little Hankel operators defined on the Bergman space of the unit disk and then extend the result to vector valued Bergman spaces.
Namita Das, Pabitra Kumar Jena
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Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis [PDF]
, 2004 This paper discusses balanced realization and model order reduction for both continuous-time and discrete-time general nonlinear systems based on singular value analysis of the corresponding Hankel operators.
Fujimoto, Kenji +6 more
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Linear systems and determinantal random point fields. [PDF]
, 2008 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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Operators associated with soft and hard spectral edges from unitary ensembles. [PDF]
, 2008 Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of integrable operators associated with soft and hard edges of eigenvalues distributions of random matrices. Such Tracy--Widom operators are realized as
Blower, Gordon
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Boundedness and Compactness of Hankel Operators on Large Fock Space
Journal of Function Spaces, 2022 We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fpϕ into a weighted Lebesgue space Lpϕ when 1 ...
Xiaofeng Wang, Zhicheng Zeng
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