Bothner, Thomas A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels. (English) Zbl 07749845 J. Funct. Anal. 285, No. 12, Article ID 110160, 109 p. (2023). MSC: 45P05 47B35 47G10 35Q15 PDFBibTeX XMLCite \textit{T. Bothner}, J. Funct. Anal. 285, No. 12, Article ID 110160, 109 p. (2023; Zbl 07749845) Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael Determinants and Plemelj-Smithies formulas. (English) Zbl 1504.47041 Monatsh. Math. 199, No. 3, 459-482 (2022). MSC: 47B10 35S05 58J40 22E30 PDFBibTeX XMLCite \textit{D. Cardona} et al., Monatsh. Math. 199, No. 3, 459--482 (2022; Zbl 1504.47041) Full Text: DOI arXiv
Delgado, Julio A Poincaré determinant on the torus. (English) Zbl 07535450 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022). MSC: 47B10 35S05 58J40 22E30 PDFBibTeX XMLCite \textit{J. Delgado}, J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022; Zbl 07535450) Full Text: DOI arXiv
Helminck, Gerard F.; Panasenko, Elena Aleksandrovna Properties of the algebra psd related to integrable hierarchies. (English) Zbl 1478.35248 Vestn. Ross. Univ., Mat. 25, No. 130, 183-195 (2020). MSC: 35S05 47L80 PDFBibTeX XMLCite \textit{G. F. Helminck} and \textit{E. A. Panasenko}, Vestn. Ross. Univ., Mat. 25, No. 130, 183--195 (2020; Zbl 1478.35248) Full Text: DOI MNR
Gesztesy, Fritz; Kirsten, Klaus On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. (English) Zbl 1500.47067 Q. Appl. Math. 77, No. 3, 615-630 (2019). MSC: 47E05 34L40 47A10 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{K. Kirsten}, Q. Appl. Math. 77, No. 3, 615--630 (2019; Zbl 1500.47067) Full Text: DOI arXiv
Delvaux, Steven The tacnode kernel: equality of Riemann-Hilbert and Airy resolvent formulas. (English) Zbl 1407.82036 Int. Math. Res. Not. 2018, No. 1, 160-201 (2018). MSC: 82C27 35Q15 60B20 60G55 60J65 41A35 34M55 33C10 PDFBibTeX XMLCite \textit{S. Delvaux}, Int. Math. Res. Not. 2018, No. 1, 160--201 (2018; Zbl 1407.82036) Full Text: DOI arXiv
Privault, Nicolas; Wu, Hailing Computation of Fredholm determinants for quadratic Ornstein-Uhlenbeck functionals. (English) Zbl 1357.60086 Taiwanese J. Math. 19, No. 5, 1541-1559 (2015). MSC: 60J60 44A10 45B05 45D05 60J70 65F40 91G20 91G60 PDFBibTeX XMLCite \textit{N. Privault} and \textit{H. Wu}, Taiwanese J. Math. 19, No. 5, 1541--1559 (2015; Zbl 1357.60086) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{M. Cafasso}, Commun. Math. Phys. 309, No. 3, 793--833 (2012; Zbl 1234.35171) Full Text: DOI arXiv Link
Bornemann, Folkmar On the numerical evaluation of Fredholm determinants. (English) Zbl 1208.65182 Math. Comput. 79, No. 270, 871-915 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 65R20 65F40 47G10 45P05 PDFBibTeX XMLCite \textit{F. Bornemann}, Math. Comput. 79, No. 270, 871--915 (2010; Zbl 1208.65182) Full Text: DOI arXiv
Deift, P.; Its, A.; Krasovsky, I. Asymptotics of the Airy-kernel determinant. (English) Zbl 1167.15005 Commun. Math. Phys. 278, No. 3, 643-678 (2008). Reviewer: Isabel Marrero (La Laguna) MSC: 15A15 15A60 11M06 15B52 47G10 47A53 47B35 82B05 82B44 33C10 PDFBibTeX XMLCite \textit{P. Deift} et al., Commun. Math. Phys. 278, No. 3, 643--678 (2008; Zbl 1167.15005) Full Text: DOI arXiv
Rochon, Frédéric On the topology of the space of invertible pseudodifferential operators of order 0. (Sur la topologie de l’espace des opérateurs pseudodifférentiels inversibles d’ordre 0.) (French. English summary) Zbl 1154.58014 Ann. Inst. Fourier 58, No. 1, 29-62 (2008). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58B05 58B15 35J45 11M06 11M36 PDFBibTeX XMLCite \textit{F. Rochon}, Ann. Inst. Fourier 58, No. 1, 29--62 (2008; Zbl 1154.58014) Full Text: DOI Numdam EuDML
Harnad, J. Virasoro generators and bilinear equations for isomonodromic tau functions. (English) Zbl 1001.37068 Harnad, John (ed.) et al., Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1-6, 2000. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 31, 27-36 (2002). Reviewer: Mircea Puta (Timişoara) MSC: 37K20 34M55 47G10 PDFBibTeX XMLCite \textit{J. Harnad}, in: Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1--6, 2000. Providence, RI: American Mathematical Society (AMS). 27--36 (2002; Zbl 1001.37068)
Gohberg, Israel; Goldberg, Seymour; Krupnik, Nahum Traces and determinants of linear operators. (English) Zbl 0946.47013 Operator Theory: Advances and Applications. 116. Basel: Birkhäuser. viii, 258 p. (2000). Reviewer: D.Przeworska-Rolewicz (Warszawa) MSC: 47B10 47-02 47A99 47A05 47A56 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Traces and determinants of linear operators. Basel: Birkhäuser (2000; Zbl 0946.47013)
Tracy, Craig A.; Widom, Harold Asymptotics of a class of Fredholm determinants. (English) Zbl 0933.35175 Branson, Thomas (ed.), Spectral problems in geometry and arithmetic. NSF-CBMS conference on spectral problems in geometry and arithmetic, Iowa City, IA, USA, August 18–22, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 237, 167-174 (1999). MSC: 35Q53 34E05 45P05 47B35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Contemp. Math. 237, 167--174 (1999; Zbl 0933.35175) Full Text: arXiv
Albeverio, Sergio; Lakaev, Saidachmat; Makarov, Konstantin A. The Efimov effect and an extended Szegő-Kac limit theorem. (English) Zbl 0903.45003 Lett. Math. Phys. 43, No. 1, 73-85 (1998). Reviewer: Nikolaj L.Vasilevskij (México) MSC: 45E10 70F07 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Lett. Math. Phys. 43, No. 1, 73--85 (1998; Zbl 0903.45003) Full Text: DOI
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: 81U40 35Q40 81-02 82-02 35R30 82B23 PDFBibTeX XMLCite \textit{V. E. Korepin} et al., Quantum inverse scattering method and correlation functions. Cambridge: Cambridge University Press (1993; Zbl 0787.47006) Full Text: arXiv
Bogolyubov, N. M.; Izergin, A. G.; Korepin, V. E. Correlation functions of integrable systems and the quantum inverse problem method. (Корреляционные функции интегрируемых систем и квантовый метод обратной задачи.) (Russian) Zbl 0880.47003 Moskva: Nauka. 240 p. (1992). MSC: 81U40 35Q40 81-02 82-02 35R30 82B23 PDFBibTeX XMLCite \textit{N. M. Bogolyubov} et al., Корреляционные функции интегрируемых систем и квантовый метод обратной задачи (Russian). Moskva: Nauka (1992; Zbl 0880.47003)
Böttcher, Albrecht; Dzhirgalova, Svetlana On Wiener-Hopf determinants with rational matrix symbols. (English) Zbl 0691.45005 Semin. Anal., Oper. Equations Numer. Anal. 1988/89, 21-39 (1989). Reviewer: Haotao Li MSC: 45E10 47B35 47Gxx PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Dzhirgalova}, Semin. Anal., Oper. Equations Numer. Anal. 1988/89, 21--39 (1989; Zbl 0691.45005)
Böttcher, Albrecht Wiener-Hopf determinants with rational symbols. (English) Zbl 0691.45004 Math. Nachr. 144, 39-64 (1989). Reviewer: R.K.Raina MSC: 45E10 47B35 PDFBibTeX XMLCite \textit{A. Böttcher}, Math. Nachr. 144, 39--64 (1989; Zbl 0691.45004) Full Text: DOI
Pietsch, Albrecht Eigenvalues and s-numbers. (Licensed ed.). (English) Zbl 0615.47019 Cambridge Studies in Advanced mathematics, 13. Cambridge etc.: Cambridge University Press. 360 p. (Orig. Akademische Verlagsgesellschaft Geest & Portig K.-G., Leipzig) (1987). Reviewer: H.König MSC: 47B10 47-02 47L10 47L05 45C05 PDFBibTeX XML
Verma, Ram U. Formulae of Fredholm type for singular integral operators with non- vanishing indices. (English) Zbl 0543.45011 Demonstr. Math. 16, 211-228 (1983). Reviewer: R.Dudučava MSC: 45P05 45E05 47A53 PDFBibTeX XMLCite \textit{R. U. Verma}, Demonstr. Math. 16, 211--228 (1983; Zbl 0543.45011) Full Text: DOI
Fenyoe, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 2. Lizenzausg. (German) Zbl 0504.45002 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe, Bd. 75. Basel - Boston - Stuttgart: Birkhäuser Verlag. 376 S. DM 96.00 (1983). MSC: 45-02 45A05 47A10 45B05 47B15 45C05 45P05 15A15 PDFBibTeX XML
Fenyoe, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 2. (German) Zbl 0504.45001 Berlin: VEB Deutscher Verlag der Wissenschaften. 376 S. DDR M 55.00 (1983). MSC: 45-02 45B05 45A05 45C05 45P05 47A10 47B15 15A15 PDFBibTeX XML