Moment determinants as isomonodromic tau functions
, 2008 We consider a wide class of determinants whose entries are moments of the so-called semiclassical functionals and we show that they are tau functions for an appropriate isomonodromic family which depends on the parameters of the symbols for the ...
Aptekarev A I +18 more
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
, 2012 We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel +3 more
core
The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation [PDF]
, 2014 The paper is to reveal the direct links between the well known Sylvester equation in matrix theory and some integrable systems. Using the Sylvester equation $\boldsymbol{K} \boldsymbol{M}+\boldsymbol{M} \boldsymbol{K}=\boldsymbol{r}\, \boldsymbol{s}^{T}$
Xu, Dan-dan +2 more
core
An Improved Toeplitz Approximation Method for Coherent DOA Estimation in Impulsive Noise Environments. [PDF]
Entropy (Basel), 2023 Dai J, Qiu T, Luan S, Tian Q, Zhang J.
europepmc +1 more source
Generalized companion matrix for approximate GCD
, 2011 We study a variant of the univariate approximate GCD problem, where the coefficients of one polynomial f(x)are known exactly, whereas the coefficients of the second polynomial g(x)may be perturbed.
Boito, Paola, Ruatta, Olivier
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The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods. [PDF]
Proc Math Phys Eng Sci, 2021 Kisil AV +3 more
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An explicit Wiener-Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. [PDF]
Proc Math Phys Eng Sci, 2022 Adukov VM, Adukova NV, Mishuris G.
europepmc +1 more source
The Entropy Gain of Linear Systems and Some of Its Implications. [PDF]
Entropy (Basel), 2021 Derpich MS, Müller M, Østergaard J.
europepmc +1 more source
The Debiased Spatial Whittle likelihood. [PDF]
J R Stat Soc Series B Stat Methodol, 2022 Guillaumin AP +3 more
europepmc +1 more source
Testing generalized linear models with high-dimensional nuisance parameter. [PDF]
Biometrika, 2023 Chen J, Li Q, Chen HY.
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