Journal Articles
Eckhardt, J and Kostenko, A (2024)
Trace formulas and inverse spectral theory for generalized indefinite strings,
Inventiones Mathematicae, ISSN: 0020-9910. DOI:
10.1007/s00222-024-01287-9.
Eckhardt, J (2024)
Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data,
Pure and Applied Functional Analysis, ISSN: 2189-3756.
Eckhardt, J, Kostenko, A, Kukuljan, T (2022)
On the absolutely continuous spectrum of generalized indefinite strings II,
Israel Journal of Mathematics, 250(1), pp.307-344, ISSN: 0021-2172. DOI:
10.1007/s11856-022-2339-x.
Eckhardt, J (2022)
Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type,
Bulletin of the London Mathematical Society, 54(2), pp.737-759, ISSN: 0024-6093. DOI:
10.1112/blms.12598.
Eckhardt, J and Kostenko, A (2021)
On the absolutely continuous spectrum of generalized indefinite strings,
Annales Henri Poincare, 22(11), pp.3529-3564, ISSN: 0018-0238. DOI:
10.1007/s00023-021-01072-x.
Eckhardt, J, Kostenko, A, Nicolussi, N (2020)
Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow,
Journal of Differential Equations, 268(6), pp.3016-3034, ISSN: 0022-0396. DOI:
10.1016/j.jde.2019.09.048.
Eckhardt, J (2019)
Unique solvability of a coupling problem for entire functions,
Constructive Approximation, 49(1), pp.123-148, ISSN: 0176-4276. DOI:
10.1007/s00365-017-9394-2.
Eckhardt, J and Kostenko, A (2018)
The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation,
International Mathematics Research Notices, 2020(16), pp.5126-5151, ISSN: 1073-7928. DOI:
10.1093/imrn/rny176.
Eckhardt, J and Kostenko, A (2018)
The Classical Moment Problem and Generalized Indefinite Strings,
Integral Equations and Operator Theory, 90(2), 23, ISSN: 0378-620X. DOI:
10.1007/s00020-018-2446-6.
Eckhardt, J and Kostenko, A (2017)
Quadratic operator pencils associated with the conservative Camassa-Holm flow,
Bulletin de la Société Mathématique de France, 145(1), pp.47-95, ISSN: 0037-9484. DOI:
10.24033/bsmf.2731.
Eckhardt, J and Grunert, K (2017)
A Lagrangian view on complete integrability of the two-component Camassa–Holm system,
Journal of Integrable Systems, 2(1), DOI:
10.1093/integr/xyx002.
Eckhardt, J, Gesztesy, F, Holden, H, Kostenko, A, Teschl, G (2017)
Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy,
Annales de l’institut Fourier, 67(3), pp.1185-1230, ISSN: 0373-0956. DOI:
10.5802/aif.3107.
Eckhardt, J (2016)
The inverse spectral transform for the conservative Camassa–Holm flow with decaying initial data,
Archive for Rational Mechanics and Analysis, 224(1), pp.21-52, ISSN: 0003-9527. DOI:
10.1007/s00205-016-1066-z.
Eckhardt, J and Teschl, G (2016)
A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations,
Nonlinearity, 29(3), pp.1036-1046, ISSN: 0951-7715. DOI:
10.1088/0951-7715/29/3/1036.
Eckhardt, J and Kostenko, A (2015)
The inverse spectral problem for indefinite strings,
Inventiones mathematicae, 204(3), pp.939-977, ISSN: 0020-9910. DOI:
10.1007/s00222-015-0629-1.
Eckhardt, J, Kostenko, A, Teschl, G (2015)
Spectral asymptotics for canonical systems,
Journal für die reine und angewandte Mathematik, 2018(736), pp.285-315, ISSN: 0075-4102. DOI:
10.1515/crelle-2015-0034.
Eckhardt, J, Gesztesy, F, Nichols, R, Teschl, G (2015)
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials,
Journal of Spectral Theory, 4(4), pp.715-768, ISSN: 1664-039X. DOI:
10.4171/jst/84.
Beigl, A,
Eckhardt, J, Kostenko, A, Teschl, G (2015)
On spectral deformations and singular Weyl functions for one-dimensional Dirac operators,
Journal of Mathematical Physics, 56(1), ISSN: 0022-2488. DOI:
10.1063/1.4905166.
Eckhardt, J, Gesztesy, F, Nichols, R, Sakhnovich, A, Teschl, G (2015)
Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials,
Differential and Integral Equations: an international journal for theory and applications, 28(5-6), pp.505-522, ISSN: 0893-4983.
Brunnhuber, R,
Eckhardt, J, Kostenko, A, Teschl, G (2014)
Singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac operators,
Monatshefte für Mathematik, 174(4), pp.515-547, ISSN: 0026-9255. DOI:
10.1007/s00605-013-0563-5.
Eckhardt, J, Kostenko, A, Malamud, M, Teschl, G (2014)
One-dimensional Schrödinger operators withδ′-interactions on Cantor-type sets,
Journal of Differential Equations, 257(2), pp.415-449, ISSN: 0022-0396. DOI:
10.1016/j.jde.2014.04.005.
Eckhardt, J (2014)
An inverse spectral problem for a star graph of Krein strings,
Journal für die reine und angewandte Mathematik (Crelles Journal), 2016(715), ISSN: 0075-4102. DOI:
10.1515/crelle-2014-0003.
Eckhardt, J and Kostenko, A (2014)
An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation,
Communications in Mathematical Physics, 329(3), pp.893-918, ISSN: 0010-3616. DOI:
10.1007/s00220-014-1905-4.
Eckhardt, J (2014)
Two Inverse Spectral Problems for a Class of Singular Krein Strings,
International Mathematics Research Notices, 2014(13), pp.3692-3713, ISSN: 1073-7928. DOI:
10.1093/imrn/rnt049.
Eckhardt, J (2014)
Inverse Uniqueness Results for Schrödinger Operators Using de Branges Theory,
Complex Analysis and Operator Theory, 8(1), pp.37-50, ISSN: 1661-8254. DOI:
10.1007/s11785-012-0265-3.
Eckhardt, J, Kostenko, A, Teschl, G (2014)
Inverse uniqueness results for one-dimensional weighted Dirac operators,
in "Spectral Theory and Differential Equations: V.A. Marchenko
90th Anniversary Collection", E. Khruslov, L. Pastur, and D. Shepelsky (eds),
117-133, Advances in the Mathematical Sciences 233, Amer. Math. Soc.,
Providence, 2014.
Eckhardt, J, Gesztesy, F, Nichols, R, Teschl, G (2013)
Inverse spectral theory for Sturm-Liouville operators with distributional potentials,
Journal of the London Mathematical Society, 88(3), pp.801-828, ISSN: 0024-6107. DOI:
10.1112/jlms/jdt041.
Eckhardt, J and Teschl, G (2013)
Sturm-Liouville operators with measure-valued coefficients,
Journal d'Analyse Mathématique, 120(1), pp.151-224, ISSN: 0021-7670. DOI:
10.1007/s11854-013-0018-x.
Eckhardt, J and Teschl, G (2013)
On the isospectral problem of the dispersionless Camassa–Holm equation,
Advances in Mathematics, 235, pp.469-495, ISSN: 0001-8708. DOI:
10.1016/j.aim.2012.12.006.
Eckhardt, J and Teschl, G (2013)
Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators,
Operators and Matrices, (3), pp.695-712, ISSN: 1846-3886. DOI:
10.7153/oam-07-38.
Eckhardt, J, Gesztesy, F, Nichols, R, Teschl, G (2013)
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials,
Opuscula Mathematica, 33(3), pp.467-467, ISSN: 1232-9274. DOI:
10.7494/opmath.2013.33.3.467.
Eckhardt, J and Teschl, G (2012)
Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra,
Transactions of the American Mathematical Society, 365(7), pp.3923-3942, ISSN: 0002-9947. DOI:
10.1090/s0002-9947-2012-05821-1.
Eckhardt, J and Teschl, G (2012)
Sturm–Liouville operators on time scales,
Journal of Difference Equations and Applications, 18(11), pp.1875-1887, ISSN: 1023-6198. DOI:
10.1080/10236198.2011.600310.
Eckhardt, J (2012)
Direct and inverse spectral theory of singular left-definite Sturm–Liouville operators,
Journal of Differential Equations, 253(2), pp.604-634, ISSN: 0022-0396. DOI:
10.1016/j.jde.2012.04.006.
Eckhardt, J and Teschl, G (2012)
On the connection between the Hilger and Radon–Nikodym derivatives,
Journal of Mathematical Analysis and Applications, 385(2), pp.1184-1189, ISSN: 0022-247X. DOI:
10.1016/j.jmaa.2011.07.041.
