脱水 发表于 2025-3-23 11:24:51
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Tau Functions Associated with Linear Systems,ut assumptions of self-adjointness. When − . is sectorial, and ., . are Hilbert–Schmidt, there exists a non-commutative differential ring . of operators in . and a differential ring homomorphism . such that . = −4⌊.⌋, which extends the multiplication rules for Hankel operators considered by Pöppe and McKean (Cent Eur J Math 9:205–243, 2011).Gesture 发表于 2025-3-23 23:54:01
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Minimality Properties of Sturm-Liouville Problems with Increasing Affine Boundary Conditions,on-real or non-simple (multiple) eigenvalues are possible. We prove that the system of root (i.e. eigen and associated) functions of the corresponding operator, with an arbitrary function removed, form a minimal system in ..(0, 1), except some cases where this system is neither complete nor minimal.encyclopedia 发表于 2025-3-24 12:51:28
Scattering, Spectrum and Resonance States Completeness for a Quantum Graph with Rashba Hamiltonian,bit Hamiltonian on the graph. A theorem concerning to completeness of the resonance states on the ring is proved. Due to use of a functional model, the problem reduces to factorization of the characteristic matrix-function. The result is compared with the corresponding completeness theorem for the SBIBLE 发表于 2025-3-24 15:36:08
Tau Functions Associated with Linear Systems,el integral operator . on .; if . is trace class, then the Fredholm determinant . defines the tau function of (−., ., .). Such tau functions arise in Tracy and Widom’s theory of matrix models, where they describe the fundamental probability distributions of random matrix theory. Dyson considered suc谦虚的人 发表于 2025-3-24 20:27:50
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Invertibility Issues for Toeplitz Plus Hankel Operators and Their Close Relatives,opf plus Hankel operators and generalized Toeplitz plus Hankel operators. Special attention is paid to a newly developed method, which allows to establish necessary, sufficient and also necessary and sufficient conditions of invertibility, one-sided and generalized invertibility for wide classes of