The Inverse Spectral Transform for the Conservative Camassa–Holm Flow with Decaying Initial
Data Page 1 Digital Object Identifier (DOI) 10.1007/s00205-016-1066-z Arch. Rational Mech …

Motivated by the study of certain nonlinear wave equations (in particular, the Camassa–
Holm equation), we introduce a new class of generalized indefinite strings associated with …

We show that the classical Hamburger moment problem can be included in the spectral
theory of generalized indefinite strings. More precisely, we introduce the class of Krein …

First-order ODE systems on a finite interval with nonsingular diagonal matrix B multiplying
the derivative and integrable off-diagonal potential matrix Q are considered. It is proved that …

An inverse problem for a class of canonical systems having Hamiltonians of determinant one -
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arXiv:2308.11860v1 [math.CV] 23 Aug 2023 Page 1 arXiv:2308.11860v1 [math.CV] 23 Aug
2023 ANALYTIC THEORIES AROUND THE SIMPLEST SCREW MASATOSHI SUZUKI Abstract …

We show how the change from Eulerian to Lagrangian coordinates for the two-component
Camassa–Holm system can be understood in terms of certain reparametrizations of the …

A canonical system is a kind of first-order system of ordinary differential equations on an
interval of the real line parametrized by complex numbers. It is known that any solution of a …

We explore the sparsity of Weyl–Titchmarsh m-functions of discrete Schrödinger operators.
Due to this, the set of their m-functions cannot be dense on the set of those for Jacobi …

Let be an even measure on the real line such that c 1∫ R| f| 2 dx≤∫ R| f| 2 d μ≤ c 2∫ R| f|
2 dx for all functions in the Paley–Wiener space. We prove that is the spectral measure for …