Fayolle, Guy; Franceschi, Sandro; Raschel, Kilian Stationary Brownian motion in a \(3 / 4\)-plane: reduction to a Riemann-Hilbert problem via Fourier transforms. (English) Zbl 1522.35353 Indag. Math., New Ser. 34, No. 5, 874-890 (2023). MSC: 35Q15 60J65 44A10 42A38 35R10 35R60 PDFBibTeX XMLCite \textit{G. Fayolle} et al., Indag. Math., New Ser. 34, No. 5, 874--890 (2023; Zbl 1522.35353) Full Text: DOI arXiv
Bothner, Thomas; Cafasso, Mattia; Tarricone, Sofia Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel. (English) Zbl 1494.30074 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1505-1546 (2022). MSC: 30E25 42A38 45J05 PDFBibTeX XMLCite \textit{T. Bothner} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1505--1546 (2022; Zbl 1494.30074) Full Text: DOI arXiv
López Lagomasino, G.; Van Assche, W. Riemann-Hilbert analysis for a Nikishin system. (English. Russian original) Zbl 1398.30024 Sb. Math. 209, No. 7, 1019-1050 (2018); translation from Mat. Sb. 209, No. 7, xx (2018). MSC: 30E10 30E25 41A21 42C05 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{W. Van Assche}, Sb. Math. 209, No. 7, 1019--1050 (2018; Zbl 1398.30024); translation from Mat. Sb. 209, No. 7, xx (2018) Full Text: DOI arXiv MNR
Duan, Ping; Du, Jinyuan Riemann-Hilbert characterization for main Bessel polynomials with varying large negative parameters. (English) Zbl 1313.42082 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 557-567 (2014). MSC: 42C05 PDFBibTeX XMLCite \textit{P. Duan} and \textit{J. Du}, Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 557--567 (2014; Zbl 1313.42082) Full Text: DOI
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M. Kernels of asymmetric Toeplitz operators and applications to almost periodic factorization. (English) Zbl 1321.47043 Complex Anal. Oper. Theory 7, No. 2, 375-407 (2013). Reviewer: Cristina Diogo (Lisboa) MSC: 47A68 30E25 30H80 42A75 47B35 PDFBibTeX XMLCite \textit{M. C. Câmara} et al., Complex Anal. Oper. Theory 7, No. 2, 375--407 (2013; Zbl 1321.47043) Full Text: DOI
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue The Hermitian two matrix model with an even quartic potential. (English) Zbl 1247.15032 Mem. Am. Math. Soc. 1022, v, 105 p. (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 30E25 60B20 30F10 31A05 42C05 82B26 PDFBibTeX XMLCite \textit{M. Duits} et al., The Hermitian two matrix model with an even quartic potential. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1247.15032) Full Text: DOI arXiv
Aptekarev, A. I.; Lysov, V. G. Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants. (English. Russian original) Zbl 1188.42009 Sb. Math. 201, No. 2, 183-234 (2010); translation from Mat. Sb. 201, No. 2, 29-78 (2010). MSC: 42C05 41A21 30E25 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{V. G. Lysov}, Sb. Math. 201, No. 2, 183--234 (2010; Zbl 1188.42009); translation from Mat. Sb. 201, No. 2, 29--78 (2010) Full Text: DOI
Kokilashvili, Vakhtang; Paatashvili, Vakhtang The Riemann-Hilbert problem in a domain with piecewise smooth boundaries in weight classes of Cauchy type integrals with a density from variable exponent Lebesgue spaces. (English) Zbl 1215.47027 Georgian Math. J. 16, No. 4, 737-755 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 47B38 30E20 30E25 42B20 45P05 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Georgian Math. J. 16, No. 4, 737--755 (2009; Zbl 1215.47027) Full Text: Link
Kokilashvili, Vakhtang; Paatashvili, Vakhtang The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\). (English) Zbl 1193.47036 Complex Anal. Oper. Theory 2, No. 4, 569-591 (2008). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 47B38 30E20 30E25 42B20 45P05 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Complex Anal. Oper. Theory 2, No. 4, 569--591 (2008; Zbl 1193.47036) Full Text: DOI
Ceniceros, Judit Minguez; Van Assche, Walter Multiple orthogonal polynomials on the unit circle. (English) Zbl 1172.41004 Constr. Approx. 28, No. 2, 173-197 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 42C05 30E25 35Q15 PDFBibTeX XMLCite \textit{J. M. Ceniceros} and \textit{W. Van Assche}, Constr. Approx. 28, No. 2, 173--197 (2008; Zbl 1172.41004) Full Text: DOI
McLaughlin, K. T.-R.; Miller, P. D. The \(\bar{\partial}\) steepest descent method for orthogonal polynomials on the real line with varying weights. (English) Zbl 1157.42007 Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 41A60 35Q15 30E25 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} and \textit{P. D. Miller}, Int. Math. Res. Not. 2008, Article ID rnn075, 66 p. (2008; Zbl 1157.42007) Full Text: DOI arXiv
Câmara, M. C.; Martins, M. C. Explicit almost-periodic factorization for a class of triangular matrix functions. (English) Zbl 1183.47011 J. Anal. Math. 103, 221-260 (2007). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47A68 42A75 30E25 PDFBibTeX XMLCite \textit{M. C. Câmara} and \textit{M. C. Martins}, J. Anal. Math. 103, 221--260 (2007; Zbl 1183.47011) Full Text: DOI
Daems, E.; Kuijlaars, A. B. J. Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions. (English) Zbl 1135.42324 J. Approximation Theory 146, No. 1, 91-114 (2007). MSC: 42C05 60J65 30E25 82B41 41A60 33C45 35Q15 PDFBibTeX XMLCite \textit{E. Daems} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 146, No. 1, 91--114 (2007; Zbl 1135.42324) Full Text: DOI arXiv
Wang, Z. Jane; Wong, R. Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach. (English) Zbl 1110.30021 J. Math. Pures Appl. (9) 85, No. 5, 698-718 (2006). MSC: 30E25 33C45 42C05 PDFBibTeX XMLCite \textit{Z. J. Wang} and \textit{R. Wong}, J. Math. Pures Appl. (9) 85, No. 5, 698--718 (2006; Zbl 1110.30021) Full Text: DOI
McLaughlin, K. T.-R.; Miller, P. D. The \(\overline\partial\) steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. (English) Zbl 1133.45001 IMRP, Int. Math. Res. Pap. 2006, No. 6, Article ID 48673, 78 p. (2006). Reviewer: Roland Duduchava (Tbilisi) MSC: 30E15 30E25 33C47 41A60 42C05 45E05 35Q15 PDFBibTeX XMLCite \textit{K. T. R. McLaughlin} and \textit{P. D. Miller}, IMRP, Int. Math. Res. Pap. 2006, No. 6, Article ID 48673, 78 p. (2006; Zbl 1133.45001) Full Text: DOI arXiv
Duits, M.; Kuijlaars, A. B. J. Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight. (English) Zbl 1129.34059 Nonlinearity 19, No. 10, 2211-2245 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 42C05 30E25 33C50 33E17 PDFBibTeX XMLCite \textit{M. Duits} and \textit{A. B. J. Kuijlaars}, Nonlinearity 19, No. 10, 2211--2245 (2006; Zbl 1129.34059) Full Text: DOI arXiv
Naique, S. T.; Dos Santos, A. F. Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols. (English) Zbl 1116.30025 J. Funct. Anal. 240, No. 1, 226-268 (2006). Reviewer: Vladimir V. Peller (East Lansing) MSC: 30E25 47A68 42A85 47B35 43A60 PDFBibTeX XMLCite \textit{S. T. Naique} and \textit{A. F. Dos Santos}, J. Funct. Anal. 240, No. 1, 226--268 (2006; Zbl 1116.30025) Full Text: DOI
Kuijlaars, A. B. J.; McLaughlin, K. T.-R. A Riemann-Hilbert problem for biorthogonal polynomials. (English) Zbl 1096.42009 J. Comput. Appl. Math. 178, No. 1-2, 313-320 (2005). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 30E25 15B52 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, J. Comput. Appl. Math. 178, No. 1--2, 313--320 (2005; Zbl 1096.42009) Full Text: DOI arXiv
Brovenko, A. V.; Melezhik, P. N.; Poedinchuk, A. E. A regularization method for a class of dual series equations. (English. Russian original) Zbl 0999.30026 Ukr. Math. J. 53, No. 10, 1597-1606 (2001); translation from Ukr. Mat. Zh. 53, No. 10, 1320-1327 (2001). Reviewer: Yu.I.Kaplun (Kyïv) MSC: 30E25 42A16 34M50 PDFBibTeX XMLCite \textit{A. V. Brovenko} et al., Ukr. Mat. Zh. 53, No. 10, 1320--1327 (2001; Zbl 0999.30026); translation from Ukr. Mat. Zh. 53, No. 10, 1320--1327 (2001) Full Text: DOI
Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. Riemann-Hilbert problems for multiple orthogonal polynomials. (English) Zbl 0997.42012 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 23-59 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30E25 PDFBibTeX XMLCite \textit{W. Van Assche} et al., NATO Sci. Ser. II, Math. Phys. Chem. 30, 23--59 (2001; Zbl 0997.42012)
Deift, Percy Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. (English) Zbl 0997.47033 Courant Lecture Notes in Mathematics. 3. New York, NY: Courant Institute of Mathematical Sciences. Providence, RI: American Mathematical Society (AMS). ix, 261 p. (2000). Reviewer: Nguyêñ Hôǹg Thái (Minsk) MSC: 47B80 47A56 15B52 30E25 33D45 37K10 42C05 47B36 60F99 PDFBibTeX XMLCite \textit{P. Deift}, Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Reprint of the 1998 original. New York, NY: Courant Institute of Mathematical Sciences; Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0997.47033)
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. (English) Zbl 1026.42024 Commun. Pure Appl. Math. 52, No. 12, 1491-1552 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30E25 35Q15 PDFBibTeX XMLCite \textit{P. Deift} et al., Commun. Pure Appl. Math. 52, No. 12, 1491--1552 (1999; Zbl 1026.42024)
Khuskivadze, Givi; Kokilashvili, Vakhtang; Paatashvili, Vakhtang Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings. (English) Zbl 0947.30030 Mem. Differ. Equ. Math. Phys. 14, 1-195 (1998). Reviewer: M.Reissig (Freiberg) MSC: 30E25 30C35 45E05 30-02 46E40 42A50 PDFBibTeX XMLCite \textit{G. Khuskivadze} et al., Mem. Differ. Equ. Math. Phys. 14, 1--195 (1998; Zbl 0947.30030) Full Text: EuDML
Karlovich, Yu. I.; Spitkovskij, I. M. On the Noetherian property of certain singular integral operators with matrix coefficients of class SAP and systems of convolution equations on a finite interval connected with them. (English. Russian original) Zbl 0528.42008 Sov. Math., Dokl. 27, 358-363 (1983); translation from Dokl. Akad. Nauk SSSR 269, 531-535 (1983). MSC: 42B30 35Q15 45E10 47A53 30E25 PDFBibTeX XMLCite \textit{Yu. I. Karlovich} and \textit{I. M. Spitkovskij}, Sov. Math., Dokl. 27, 358--363 (1983; Zbl 0528.42008); translation from Dokl. Akad. Nauk SSSR 269, 531--535 (1983)
Volevich, L. R.; Gindikin, S. G. The Wiener-Hopf equation in generalized functions. (English) Zbl 0423.45005 Trans. Mosc. Math. Soc. 35, 167-216 (1979). MSC: 45E10 46F10 30E25 35Q15 46L99 42A38 PDFBibTeX XMLCite \textit{L. R. Volevich} and \textit{S. G. Gindikin}, Trans. Mosc. Math. Soc. 35, 167--216 (1979; Zbl 0423.45005)
Gakhov, F. D.; Cherskiĭ, Yu. I. Equations of convolution type. (Уравнения типа свертки.) (Russian) Zbl 0458.45002 Moskva: “Nauka”. 295 p. R. 1.50 (1978). Reviewer: N. V. Rao (MR 80j:45001) MSC: 45E10 45-02 42A38 30E25 45L05 35Q15 45F10 46F10 PDFBibTeX XML