Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. (Solutions algebro-géométriques à valeurs réelles de la hierarchie de Camassa-Holm à deux composantes.) (English. French summary) Zbl 1383.35182 Ann. Inst. Fourier 67, No. 3, 1185-1230 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q51 35Q53 37K15 37K10 37K20 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., Ann. Inst. Fourier 67, No. 3, 1185--1230 (2017; Zbl 1383.35182) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. (English) Zbl 1178.37074 Discrete Contin. Dyn. Syst. 26, No. 1, 151-196 (2010). MSC: 37K10 37K20 47B36 35C05 37K60 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Discrete Contin. Dyn. Syst. 26, No. 1, 151--196 (2010; Zbl 1178.37074) Full Text: DOI
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald The Ablowitz-Ladik hierarchy revisited. (English) Zbl 1160.37028 Janas, Jan (ed.) et al., Methods of spectral analysis in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP), Lund, Sweden, June 15–22, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8754-9/hbk). Operator Theory: Advances and Applications 186, 139-190 (2009). Reviewer: Rakib Efendiev (Baku) MSC: 37K15 37K10 39A12 35Q55 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Oper. Theory: Adv. Appl. 186, 139--190 (2009; Zbl 1160.37028) Full Text: arXiv
Gesztesy, Fritz; Holden, Helge Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. (English) Zbl 1153.37427 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1025-1054 (2008). MSC: 37K20 35Q53 37K10 37K15 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1025--1054 (2008; Zbl 1153.37427) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. (English) Zbl 1151.37056 Cambridge Studies in Advanced Mathematics 114. Cambridge: Cambridge University Press (ISBN 978-0-521-75308-1/hbk). x, 438 p. (2008). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37K40 14K25 37-02 34Kxx 35Q51 37K10 37K20 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Cambridge: Cambridge University Press (2008; Zbl 1151.37056)
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. (English) Zbl 1143.37045 Rev. Mat. Iberoam. 24, No. 1, 117-182 (2008). MSC: 37K10 37K20 47B36 35Q51 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Rev. Mat. Iberoam. 24, No. 1, 117--182 (2008; Zbl 1143.37045) Full Text: DOI arXiv Euclid EuDML
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. (English) Zbl 1137.37033 Int. Math. Res. Not. 2007, No. 20, Article ID rnm082, 55 p. (2007). Reviewer: Jan Chrastina (Brno) MSC: 37K10 37K60 35Q53 37K35 37K20 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Int. Math. Res. Not. 2007, No. 20, Article ID rnm082, 55 p. (2007; Zbl 1137.37033) Full Text: DOI arXiv
Gesztesy, Fritz; Holden, Helge Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. (English) Zbl 1162.37326 Skr., K. Nor. Vidensk. Selsk. 2006, No. 3, 1-30 (2006). MSC: 37K10 37K20 47B36 35Q58 37K60 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Skr., K. Nor. Vidensk. Selsk. 2006, No. 3, 1--30 (2006; Zbl 1162.37326) Full Text: arXiv
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge Algebro-geometric solutions of the Baxter-Szegő difference equation. (English) Zbl 1080.37075 Commun. Math. Phys. 258, No. 1, 149-177 (2005). MSC: 37K20 33E05 39A10 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Commun. Math. Phys. 258, No. 1, 149--177 (2005; Zbl 1080.37075) Full Text: DOI
Eilbeck, J. C.; Enolskii, V. Z.; Holden, H. The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. (English) Zbl 1101.14314 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1581-1610 (2003). MSC: 14H70 81R12 33C90 37K10 37K20 81T10 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1581--1610 (2003; Zbl 1101.14314) Full Text: DOI
Gesztesy, Fritz; Holden, Helge Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. (English) Zbl 1061.37056 Cambridge Studies in Advanced Mathematics 79. Cambridge: Cambridge University Press (ISBN 0-521-75307-4/hbk). xii, 505 p. (2003). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K40 37K20 14H70 35Q51 37K10 37-02 37K15 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Cambridge: Cambridge University Press (2003; Zbl 1061.37056)
Gesztesy, Fritz; Holden, Helge The classical Boussinesq hierarchy revisited. (English) Zbl 1012.35073 Skr., K. Nor. Vidensk. Selsk. 2000, No. 1, 15 p. (2000). MSC: 35Q53 37K20 37K10 35Q51 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, Skr., K. Nor. Vidensk. Selsk. 2000, No. 1, 15 p. (2000; Zbl 1012.35073) Full Text: arXiv
Gesztesy, Fritz; Holden, Helge A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions. (English) Zbl 1102.14302 Weikard, Rudi (ed.) et al., Differential equations and mathematical physics. Proceedings of an international conference, Birmingham, AL, USA, March 16–20, 1999. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: International Press (ISBN 0-8218-2157-1/pbk). AMS/IP Stud. Adv. Math. 16, 133-173 (2000). Reviewer: Emma Previato (MR 2001f:37114) MSC: 14H70 37K20 34L05 35Q53 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, AMS/IP Stud. Adv. Math. 16, 133--173 (2000; Zbl 1102.14302) Full Text: arXiv
Enolskii, V. Z.; Gesztesy, F.; Holden, H. The classical massive Thirring system revisited. (English) Zbl 0968.37024 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 28, 163-200 (2000). Reviewer: Mircea Puta (Timişoara) MSC: 37K20 35Q53 35Q51 PDFBibTeX XMLCite \textit{V. Z. Enolskii} et al., CMS Conf. Proc. 28, 163--200 (2000; Zbl 0968.37024) Full Text: arXiv
Gesztesy, Fritz (ed.); Holden, Helge (ed.); Jost, Jürgen (ed.); Paycha, Sylvie (ed.); Röckner, Michael (ed.); Scarlatti, Sergio (ed.) Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18–22, 1999. (English) Zbl 0953.00049 CMS Conference Proceedings. 29. Providence, RI: American Mathematical Society (AMS). xii, 647 p. (2000). MSC: 00B30 00B25 58-06 60-06 82-06 PDFBibTeX XMLCite \textit{F. Gesztesy} (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18--22, 1999. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0953.00049)
Gesztezy, Fritz (ed.); Holden, Helge (ed.); Jost, Jürgen (ed.); Paycha, Sylvie (ed.); Röckner, Michael (ed.); Scarlatti, Sergio (ed.) Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18–22, 1999. (English) Zbl 0953.00048 CMS Conference Proceedings. 28. Providence, RI: American Mathematical Society (AMS). x, 333 p. (2000). MSC: 00B30 00B25 58-06 60-06 82-06 PDFBibTeX XMLCite \textit{F. Gesztezy} (ed.) et al., Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18--22, 1999. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0953.00048)
Gesztesy, Fritz; Holden, Helge Darboux-type transformations and hyperelliptic curves. (English) Zbl 1102.14301 J. Reine Angew. Math. 527, 151-183 (2000). Reviewer: Emma Previato (MR 2002b:37108) MSC: 14H70 37K20 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{H. Holden}, J. Reine Angew. Math. 527, 151--183 (2000; Zbl 1102.14301) Full Text: DOI arXiv