Blower, Gordon; Newsham, Samantha L. Tau functions associated with linear systems. (English) Zbl 07393025 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 63-94 (2021). MSC: 47A48 PDF BibTeX XML Cite \textit{G. Blower} and \textit{S. L. Newsham}, Oper. Theory: Adv. Appl. 282, 63--94 (2021; Zbl 07393025) Full Text: DOI arXiv OpenURL
Desiraju, Harini Fredholm determinant representation of the homogeneous Painlevé II \(\tau\)-function. (English) Zbl 1486.34171 Nonlinearity 34, No. 9, 6507-6538 (2021). Reviewer: Pieter Roffelsen (Melbourne) MSC: 34M55 34M50 45P05 PDF BibTeX XML Cite \textit{H. Desiraju}, Nonlinearity 34, No. 9, 6507--6538 (2021; Zbl 1486.34171) Full Text: DOI arXiv OpenURL
Helminck, G. F.; Panasenko, E. A. Expressions in Fredholm determinants for solutions of the strict KP hierarchy. (English. Russian original) Zbl 1429.37038 Theor. Math. Phys. 199, No. 2, 637-651 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 193-209 (2019). MSC: 37K10 37K20 37K30 PDF BibTeX XML Cite \textit{G. F. Helminck} and \textit{E. A. Panasenko}, Theor. Math. Phys. 199, No. 2, 637--651 (2019; Zbl 1429.37038); translation from Teor. Mat. Fiz. 199, No. 2, 193--209 (2019) Full Text: DOI OpenURL
Bothner, Thomas; Its, Alexander Rudol’fovich Asymptotics of a cubic sine kernel determinant. (English) Zbl 1318.82015 St. Petersbg. Math. J. 26, No. 4, 515-565 (2015) and Algebra Anal. 26, No. 4, 2-91 (2014). MSC: 82B23 33E05 34E05 34M50 82C23 15B52 15A15 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. R. Its}, St. Petersbg. Math. J. 26, No. 4, 515--565 (2015; Zbl 1318.82015) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Its, Alexander Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. (English) Zbl 1290.15004 Commun. Math. Phys. 328, No. 1, 155-202 (2014). MSC: 15A15 15A18 15B52 15B57 47A53 34M55 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. Its}, Commun. Math. Phys. 328, No. 1, 155--202 (2014; Zbl 1290.15004) Full Text: DOI Link OpenURL
Tashpulatov, S. M. Spectrum of two-magnon non-Heisenberg ferromagnetic model of arbitrary spin with impurity. (English) Zbl 1292.82048 J. Math. Phys. Anal. Geom. 9, No. 2, 239-265 (2013). MSC: 82D40 46L60 47L90 70H06 70F05 81Q10 45B05 45C05 47B25 47G10 34L05 82B20 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, J. Math. Phys. Anal. Geom. 9, No. 2, 239--265 (2013; Zbl 1292.82048) OpenURL
Bertola, M.; Cafasso, M. Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. (English) Zbl 1234.35171 Commun. Math. Phys. 309, No. 3, 793-833 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35Q15 34M55 47N20 PDF BibTeX XML Cite \textit{M. Bertola} and \textit{M. Cafasso}, Commun. Math. Phys. 309, No. 3, 793--833 (2012; Zbl 1234.35171) Full Text: DOI arXiv Link OpenURL
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDF BibTeX XML Cite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI OpenURL
González, Manuel; Martínez-Abejón, Antonio Tauberian operators. (English) Zbl 1187.47002 Operator Theory: Advances and Applications 194. Basel: Birkhäuser (ISBN 978-3-7643-8997-0/hbk; 978-3-7643-8998-7/ebook). xii, 245 p. (2010). Reviewer: Carsten Michels (Oldenburg) MSC: 47-01 47-02 47A53 47L20 46B03 46B10 PDF BibTeX XML Cite \textit{M. González} and \textit{A. Martínez-Abejón}, Tauberian operators. Basel: Birkhäuser (2010; Zbl 1187.47002) Full Text: DOI OpenURL
Tashpulatov, S. M. Spectra and bound states of the energy operator of two-magnon system in a non-Heisenberg ferromagnet with spin \(S=3/2\) and nearest-neighbor interactions. (English) Zbl 1177.82124 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 1, 117-133 (2009). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 82D40 81Q10 46L60 47L90 70H06 45B05 34L05 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 1, 117--133 (2009; Zbl 1177.82124) Full Text: DOI OpenURL
Tashpulatov, Sadulla Investigation of spectrum and bound states of the energy operator of two-magnon system in a non-Heisenberg ferromagnetic with spin \(S=2\) and nearest-neighbour interactions. (English) Zbl 1199.46156 Mat. Visn. Nauk. Tov. Im. Shevchenka 5, 284-303 (2008). MSC: 46L60 47L90 70H06 70F05 81Q10 45B05 45C05 47B25 47G10 34L05 PDF BibTeX XML Cite \textit{S. Tashpulatov}, Mat. Visn. Nauk. Tov. Im. Shevchenka 5, 284--303 (2008; Zbl 1199.46156) OpenURL
Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators. (English) Zbl 1101.37048 Acta Appl. Math. 92, No. 3, 241-267 (2006). MSC: 37K30 35Q53 58B25 37K10 PDF BibTeX XML Cite \textit{M. J. Dupré} et al., Acta Appl. Math. 92, No. 3, 241--267 (2006; Zbl 1101.37048) Full Text: DOI OpenURL
Faour, N. S. A class of operators on \(L^2_h\). II. (English) Zbl 0933.47020 Acta Math. Hung. 84, No. 3, 237-243 (1999). MSC: 47B38 47A53 47B07 PDF BibTeX XML Cite \textit{N. S. Faour}, Acta Math. Hung. 84, No. 3, 237--243 (1999; Zbl 0933.47020) Full Text: DOI OpenURL
Slavnov, N. A. Differential equations for multipoint correlation functions in a one-dimensional impenetrable Bose-gas. (English. Russian original) Zbl 0890.58026 Theor. Math. Phys. 106, No. 1, 131-142 (1996); translation from Teor. Mat. Fiz. 106, No. 1, 160-174 (1996). MSC: 37J35 37K10 81Q10 82B10 35Q40 81S05 PDF BibTeX XML Cite \textit{N. A. Slavnov}, Theor. Math. Phys. 106, No. 1, 131--142 (1996; Zbl 0890.58026); translation from Teor. Mat. Fiz. 106, No. 1, 160--174 (1996) Full Text: DOI OpenURL
Pedas, A. The method of mechanical quadratures for solving weakly singular intergral equations with discontinuous coefficients. (English. Russian original) Zbl 0892.65080 Differ. Equations 32, No. 9, 1259-1264 (1996); translation from Differ. Uravn. 32, No. 9, 1259-1264 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 65R20 45B05 45C05 PDF BibTeX XML Cite \textit{A. Pedas}, Differ. Equations 32, No. 9, 1259--1264 (1996; Zbl 0892.65080); translation from Differ. Uravn. 32, No. 9, 1259--1264 (1996) OpenURL
Ushveridze, Alexander G. Quasi-exactly solvable models in quantum mechanics. (English) Zbl 0834.58042 Bristol: Institute of Physics Publishing. xiv, 465 p. (1994). Reviewer: C.S.Sharma (London) MSC: 81-02 81R12 37A30 81Q10 47A13 37-02 PDF BibTeX XML Cite \textit{A. G. Ushveridze}, Quasi-exactly solvable models in quantum mechanics. Bristol: Institute of Physics Publishing (1994; Zbl 0834.58042) OpenURL
Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G. Quantum inverse scattering method and correlation functions. (English) Zbl 0787.47006 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press. xiii, 555 p. (1993). Reviewer: Michael Demuth (Potsdam) MSC: 47A40 47N50 81U40 81Txx 81R12 47-02 81-02 PDF BibTeX XML Cite \textit{V. E. Korepin} et al., Quantum inverse scattering method and correlation functions. Cambridge: Cambridge University Press (1993; Zbl 0787.47006) Full Text: arXiv OpenURL
Bogolyubov, N. M.; Izergin, A. G.; Korepin, V. E. Correlation functions of integrable systems and the quantum inverse problem method. (Korrelyatsionnye funktsii integriruemykh sistem i kvantovyj metod obratnoj zadachi.) (Russian) Zbl 0880.47003 Moskva: Nauka. 240 p. (1992). MSC: 47A40 81U40 47N50 81Txx 81-02 47-02 PDF BibTeX XML Cite \textit{N. M. Bogolyubov} et al., Korrelyatsionnye funktsii integriruemykh sistem i kvantovyj metod obratnoj zadachi (Russian). Moskva: Nauka (1992; Zbl 0880.47003) OpenURL
Faour, Nazih S. A class of operators on \(L_ h^ 2\). (English) Zbl 0723.47026 Result. Math. 17, No. 3-4, 238-240 (1990). MSC: 47B38 47B07 47A53 PDF BibTeX XML Cite \textit{N. S. Faour}, Result. Math. 17, No. 3--4, 238--240 (1990; Zbl 0723.47026) Full Text: DOI OpenURL
Wilde, Peter; Willers, Achim Dense sets and far field patterns for the vector Helmholtz equation under transmission boundary conditions. (English) Zbl 0664.35015 SIAM J. Math. Anal. 19, No. 2, 348-357 (1988). Reviewer: P.Wilde MSC: 35J05 45B05 78A45 46E35 PDF BibTeX XML Cite \textit{P. Wilde} and \textit{A. Willers}, SIAM J. Math. Anal. 19, No. 2, 348--357 (1988; Zbl 0664.35015) Full Text: DOI OpenURL
Bukhnikashvili, I. A. A variant of an iteration schema for a Fredholm equation of the first kind. (Russian) Zbl 0524.45001 Tr. Tbilis. Mat. Inst. Razmadze 65, 24-27 (1980). MSC: 45B05 45L05 PDF BibTeX XML Cite \textit{I. A. Bukhnikashvili}, Proc. A. Razmadze Math. Inst. 65, 24--27 (1980; Zbl 0524.45001) OpenURL
Kwapisz, M.; Turo, J. On the existence and uniqueness of integrable solutions of functional equations in a Banach space. (English) Zbl 0426.45017 Aequationes Math. 19, 53-65 (1979). MSC: 45N05 45D05 45B05 45J05 45K05 39B52 46E30 PDF BibTeX XML Cite \textit{M. Kwapisz} and \textit{J. Turo}, Aequationes Math. 19, 53--65 (1979; Zbl 0426.45017) Full Text: DOI EuDML OpenURL
Connes, Alain Sur la théorie non commutative de l’intégration. (French) Zbl 0412.46053 Algebres d’operateurs, Semin. Les Plans-sur-Bex 1978, Lect. Notes Math. 725, 19-143 (1979). MSC: 46L51 46L53 46L54 57R30 58J20 47F05 47Gxx PDF BibTeX XML OpenURL