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Ordered reproducing Hilbert spaces over ℂ2
Springer Science and Business Media LLC - Tập 24 - Trang 503-510 - 2008
Sheng Zhao Hou, Jie Wang
In this paper, we study the relation between the ordered reproducing Hilbert space and its reproducing kernel. A complete description of a similar and unitary equivalence of two quasi-invariant subspaces generated by polynomials with leading terms is given.
The Neumann Problem for Parabolic Hessian Quotient Equations
Springer Science and Business Media LLC - Tập 37 - Trang 1313-1348 - 2021
Chuan Qiang Chen, Xi Nan Ma, De Kai Zhang
In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.
On edge singularity and eigenvectors of mixed graphs
Springer Science and Business Media LLC - Tập 24 Số 1 - Trang 139-146 - 2008
Yingying Tan, Yi-Zheng Fan
Small prime solutions of a pair of linear equations in five prime variables
Springer Science and Business Media LLC - - 2010
Zhen Cui, Hong Ze Li
A criterion of normality based on a single holomorphic function
Springer Science and Business Media LLC - Tập 27 - Trang 141-154 - 2010
Xiao Jun Liu, Shahar Nevo
Let F be a family of functions holomorphic on a domain D ⊂ ℂ Let k ≥ 2 be an integer and let h be a holomorphic function on D, all of whose zeros have multiplicity at most k −1, such that h(z) has no common zeros with any f ∈ F. Assume also that the following two conditions hold for every f ∈ F: (a) f(z) = 0 ⇒ f′(z) = h(z); and (b) f′(z) = h(z) ⇒ |f (k)(z)| ≤ c, where c is ...... hiện toàn bộ
Lattice Structure for Paraunitary Linear–phase Filter Banks with Accuracy
Springer Science and Business Media LLC - Tập 22 - Trang 679-688 - 2005
Hong Ying Xiao
Multivariate filter banks with a polyphase matrix built by matrix factorization (lattice structure) were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method of constructing filter banks which ensure second and third accuracy of its corresponding scaling function. In the last part, examples with second and third accuracy are given.
A remark on the generalized second order Toda system
Springer Science and Business Media LLC - Tập 29 - Trang 1691-1702 - 2013
Rui Chang Pei
In this paper, we establish a priori estimates to the generalized second order Toda system $$\left\{ \begin{gathered} - \Delta u_1 (x) = 2R_1 (x)e^{u_1 } - R_2 e^{u_2 } , \hfill \\ - \Delta u_2 (x) = - R_1 (x)e^{u_1 } + 2R_2 e^{u_2 } \hfill \\ \end{gathered} \right.$$ in ℝ2, and discuss the c...... hiện toàn bộ
L2 Extension and Effectiveness of Strong Openness Property
Springer Science and Business Media LLC - Tập 38 - Trang 1949-1964 - 2022
Shi Jie Bao, Qi An Guan
In this note, we present an L2 extension approach to the effectiveness result of strong openness property of multiplier ideal sheaves.
Representation of numbers by binary quadratic forms
Springer Science and Business Media LLC - Tập 3 - Trang 58-65 - 1987
Li Delang
On a Problem of D. H. Lehmer
Springer Science and Business Media LLC - Tập 22 - Trang 61-68 - 2005
Hua Ning Liu, Wen Peng Zhang
The main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L–functions to study the asymptotic property of the difference between a D. H. Lehmer number and its inverse modulo p (an odd prime). A interesting mean square value formula is also given.
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