Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates. (English) Zbl 1343.34197 Proc. Am. Math. Soc., Ser. B 2, 51-59 (2015). Reviewer: Jonathan Eckhardt (Wien) MSC: 34L25 35Q41 81U30 34L40 PDFBibTeX XMLCite \textit{I. Egorova} et al., Proc. Am. Math. Soc., Ser. B 2, 51--59 (2015; Zbl 1343.34197) Full Text: DOI arXiv
Egorova, I.; Gladka, Z.; Lange, T. L.; Teschl, G. Inverse scattering theory for Schrödinger operators with steplike potentials. (English) Zbl 1333.34127 J. Math. Phys. Anal. Geom. 11, No. 2, 123-158 (2015). Reviewer: Petru A. Cojuhari (Kraków) MSC: 34L25 34L40 PDFBibTeX XMLCite \textit{I. Egorova} et al., J. Math. Phys. Anal. Geom. 11, No. 2, 123--158 (2015; Zbl 1333.34127) Full Text: DOI arXiv
Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators. arXiv:1506.06555 Preprint, arXiv:1506.06555 [math.SP] (2015). MSC: 35Q41 34L25 81U30 47B36 BibTeX Cite \textit{I. Egorova} et al., ``Properties of the Scattering Matrix and Dispersion Estimates for Jacobi Operators'', Preprint, arXiv:1506.06555 [math.SP] (2015) Full Text: DOI arXiv OA License
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data. (English) Zbl 1279.47045 Math. Phys. Anal. Geom. 16, No. 2, 111-136 (2013). MSC: 47B36 81U40 34L25 39A10 PDFBibTeX XMLCite \textit{I. Egorova} et al., Math. Phys. Anal. Geom. 16, No. 2, 111--136 (2013; Zbl 1279.47045) Full Text: DOI arXiv
Egorova, I.; Teschl, G. A Paley-Wiener theorem for periodic scattering with applications to the Korteweg-de Vries equation. (English) Zbl 1210.34126 J. Math. Phys. Anal. Geom. 6, No. 1, 21-33 (2010). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34L25 35Q53 PDFBibTeX XMLCite \textit{I. Egorova} and \textit{G. Teschl}, J. Math. Phys. Anal. Geom. 6, No. 1, 21--33 (2010; Zbl 1210.34126) Full Text: arXiv
Egorova, Iryna; Teschl, Gerald Reconstruction of the transmission coefficient for steplike finite-gap backgrounds. (English) Zbl 1177.30052 Oper. Matrices 3, No. 2, Article ID 11, 205-214 (2009). MSC: 30E20 30F30 34L25 47B36 PDFBibTeX XMLCite \textit{I. Egorova} and \textit{G. Teschl}, Oper. Matrices 3, No. 2, Article ID 11, 205--214 (2009; Zbl 1177.30052) Full Text: arXiv Link
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited. (English) Zbl 1166.37028 Math. Nachr. 282, No. 4, 526-539 (2009). Reviewer: Rakib Efendiev (Baku) MSC: 37K15 37K10 47B36 34L25 PDFBibTeX XMLCite \textit{I. Egorova} et al., Math. Nachr. 282, No. 4, 526--539 (2009; Zbl 1166.37028) Full Text: DOI arXiv
Egorova, I.; Michor, J.; Teschl, G. Scattering theory for Jacobi operators with general step-like quasiperiodic background. (English) Zbl 1177.47038 J. Math. Phys. Anal. Geom. 4, No. 1, 33-62 (2008). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 81U40 34L25 39A70 47A40 PDFBibTeX XMLCite \textit{I. Egorova} et al., J. Math. Phys. Anal. Geom. 4, No. 1, 33--62 (2008; Zbl 1177.47038) Full Text: arXiv
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Inverse scattering transform for the Toda hierarchy with quasi-periodic background. (English) Zbl 1118.37034 Proc. Am. Math. Soc. 135, No. 6, 1817-1827 (2007). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37K15 37K10 47B36 34L25 PDFBibTeX XMLCite \textit{I. Egorova} et al., Proc. Am. Math. Soc. 135, No. 6, 1817--1827 (2007; Zbl 1118.37034) Full Text: DOI arXiv
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Scattering theory for Jacobi operators with quasi-periodic background. (English) Zbl 1115.39025 Commun. Math. Phys. 264, No. 3, 811-842 (2006). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A70 47B36 39A12 34L25 81U40 PDFBibTeX XMLCite \textit{I. Egorova} et al., Commun. Math. Phys. 264, No. 3, 811--842 (2006; Zbl 1115.39025) Full Text: DOI arXiv
Egorova, Iryna; Golinskii, Leonid Discrete spectrum for complex perturbations of periodic Jacobi matrices. (English) Zbl 1093.47033 J. Difference Equ. Appl. 11, No. 14, 1185-1203 (2005). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 39A70 39A12 34L25 47A10 PDFBibTeX XMLCite \textit{I. Egorova} and \textit{L. Golinskii}, J. Difference Equ. Appl. 11, No. 14, 1185--1203 (2005; Zbl 1093.47033) Full Text: DOI arXiv
Boutet de Monvel, Anne; Egorova, Ira On solutions of nonlinear Schrödinger equations with Cantor-type spectrum. (English) Zbl 0898.35095 J. Anal. Math. 72, 1-20 (1997). Reviewer: A.Tsutsumi (Osaka) MSC: 35Q55 34C27 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{I. Egorova}, J. Anal. Math. 72, 1--20 (1997; Zbl 0898.35095) Full Text: DOI