Li, Shi-Hao; Yu, Guo-Fu Christoffel transformations for (partial-)skew-orthogonal polynomials and applications. (English) Zbl 07781632 Adv. Math. 436, Article ID 109398, 32 p. (2024). MSC: 37K20 37K60 37K10 33C45 41A21 PDFBibTeX XMLCite \textit{S.-H. Li} and \textit{G.-F. Yu}, Adv. Math. 436, Article ID 109398, 32 p. (2024; Zbl 07781632) Full Text: DOI arXiv
Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials. (English) Zbl 07765290 Adv. Math. 434, Article ID 109313, 48 p. (2023). MSC: 47B39 47B36 42C05 33C45 33C47 15B52 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Adv. Math. 434, Article ID 109313, 48 p. (2023; Zbl 07765290) Full Text: DOI arXiv
Deaño, Alfredo; Kuijlaars, Arno B. J.; Román, Pablo Asymptotics of matrix valued orthogonal polynomials on \([-1, 1]\). (English) Zbl 1515.30025 Adv. Math. 423, Article ID 109043, 61 p. (2023). MSC: 30C10 47A56 30E25 PDFBibTeX XMLCite \textit{A. Deaño} et al., Adv. Math. 423, Article ID 109043, 61 p. (2023; Zbl 1515.30025) Full Text: DOI arXiv
Lenart, Cristian; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type. (English) Zbl 07681928 Adv. Math. 423, Article ID 109037, 63 p. (2023). MSC: 20C08 17B37 14M15 14N15 33D52 81R10 PDFBibTeX XMLCite \textit{C. Lenart} et al., Adv. Math. 423, Article ID 109037, 63 p. (2023; Zbl 07681928) Full Text: DOI arXiv
Borovitskiy, Viacheslav; Osipov, Nikolay N.; Tselishchev, Anton Burkholder meets Gundy: Bellman function method for general operators on martingales. (English) Zbl 1502.42020 Adv. Math. 410, Part A, Article ID 108746, 22 p. (2022). MSC: 42C10 42A38 42B20 47B90 60G46 PDFBibTeX XMLCite \textit{V. Borovitskiy} et al., Adv. Math. 410, Part A, Article ID 108746, 22 p. (2022; Zbl 1502.42020) Full Text: DOI arXiv
Bisi, Elia; Zygouras, Nikos Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation. (English) Zbl 1490.05270 Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022). MSC: 05E05 60C05 60F05 05E10 82B23 20G05 20G20 PDFBibTeX XMLCite \textit{E. Bisi} and \textit{N. Zygouras}, Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022; Zbl 1490.05270) Full Text: DOI arXiv
Saied, Jason A combinatorial formula for Sahi, Stokman, and Venkateswaran’s generalization of Macdonald polynomials. (English) Zbl 07537706 Adv. Math. 404, Part B, Article ID 108440, 51 p. (2022). MSC: 05E05 16S99 20C08 33C52 PDFBibTeX XMLCite \textit{J. Saied}, Adv. Math. 404, Part B, Article ID 108440, 51 p. (2022; Zbl 07537706) Full Text: DOI arXiv
Chang, Xiang-Ke Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices. (English) Zbl 1507.41007 Adv. Math. 402, Article ID 108338, 45 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 30E10 37K10 37K60 42C05 PDFBibTeX XMLCite \textit{X.-K. Chang}, Adv. Math. 402, Article ID 108338, 45 p. (2022; Zbl 1507.41007) Full Text: DOI arXiv
Dinkins, Hunter; Smirnov, Andrey Capped vertex with descendants for zero dimensional \(A_\infty\) quiver varieties. (English) Zbl 1492.14011 Adv. Math. 401, Article ID 108324, 30 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14C35 16G20 19L47 33C80 39A70 16E20 14N99 33D52 PDFBibTeX XMLCite \textit{H. Dinkins} and \textit{A. Smirnov}, Adv. Math. 401, Article ID 108324, 30 p. (2022; Zbl 1492.14011) Full Text: DOI arXiv
Lee, Sanghyuk; Ryu, Jaehyeon Bochner-Riesz means for the Hermite and special Hermite expansions. (English) Zbl 1486.42044 Adv. Math. 400, Article ID 108260, 52 p. (2022). MSC: 42C10 42B08 42B15 PDFBibTeX XMLCite \textit{S. Lee} and \textit{J. Ryu}, Adv. Math. 400, Article ID 108260, 52 p. (2022; Zbl 1486.42044) Full Text: DOI arXiv
Denisov, Sergey A.; Yattselev, Maxim L. Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality. (English) Zbl 07466427 Adv. Math. 396, Article ID 108114, 79 p. (2022). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 47A10 42C05 PDFBibTeX XMLCite \textit{S. A. Denisov} and \textit{M. L. Yattselev}, Adv. Math. 396, Article ID 108114, 79 p. (2022; Zbl 07466427) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E.; Zurrián, I. N. Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. (English) Zbl 1476.05206 Adv. Math. 392, Article ID 108027, 30 p. (2021). MSC: 05E10 05E05 14N15 17B67 33D52 33D80 81T40 20C08 PDFBibTeX XMLCite \textit{J. F. van Diejen} et al., Adv. Math. 392, Article ID 108027, 30 p. (2021; Zbl 1476.05206) Full Text: DOI
Dauvergne, Duncan A necessary and sufficient condition for convergence of the zeros of random polynomials. (English) Zbl 1479.30004 Adv. Math. 384, Article ID 107691, 33 p. (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 30C15 30B20 PDFBibTeX XMLCite \textit{D. Dauvergne}, Adv. Math. 384, Article ID 107691, 33 p. (2021; Zbl 1479.30004) Full Text: DOI arXiv
Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds. (English) Zbl 1515.17031 Adv. Math. 387, Article ID 107828, 59 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 14N15 14M15 33D52 81R10 PDFBibTeX XMLCite \textit{S. Naito} et al., Adv. Math. 387, Article ID 107828, 59 p. (2021; Zbl 1515.17031) Full Text: DOI arXiv
Ganguly, Pritam; Thangavelu, Sundaram Theorems of Chernoff and Ingham for certain eigenfunction expansions. (English) Zbl 1477.43009 Adv. Math. 386, Article ID 107815, 31 p. (2021). MSC: 43A85 42C05 33C45 35P10 PDFBibTeX XMLCite \textit{P. Ganguly} and \textit{S. Thangavelu}, Adv. Math. 386, Article ID 107815, 31 p. (2021; Zbl 1477.43009) Full Text: DOI arXiv Link
Forrester, Peter J.; Li, Shi-Hao Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\). (English) Zbl 1467.82091 Adv. Math. 383, Article ID 107678, 27 p. (2021). MSC: 82D10 82C22 33C47 33C45 33E20 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S.-H. Li}, Adv. Math. 383, Article ID 107678, 27 p. (2021; Zbl 1467.82091) Full Text: DOI arXiv
Deng, Qi-Rong; Chen, Jian-Bao Uniformity of spectral self-affine measures. (English) Zbl 1457.42038 Adv. Math. 380, Article ID 107568, 18 p. (2021). MSC: 42C05 42A65 28A78 28A80 PDFBibTeX XMLCite \textit{Q.-R. Deng} and \textit{J.-B. Chen}, Adv. Math. 380, Article ID 107568, 18 p. (2021; Zbl 1457.42038) Full Text: DOI
Cherednik, Ivan; Kato, Syu Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules. (English) Zbl 07258192 Adv. Math. 374, Article ID 107335, 57 p. (2020). MSC: 17B67 17B45 20C08 22E46 33D52 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{S. Kato}, Adv. Math. 374, Article ID 107335, 57 p. (2020; Zbl 07258192) Full Text: DOI arXiv
Corteel, Sylvie; Kim, Jang Soo Lecture hall tableaux. (English) Zbl 1443.05182 Adv. Math. 371, Article ID 107266, 34 p. (2020). MSC: 05E10 05A15 33D45 33D50 05A30 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{J. S. Kim}, Adv. Math. 371, Article ID 107266, 34 p. (2020; Zbl 1443.05182) Full Text: DOI arXiv
Geronimo, J. S.; Liechty, Karl The Fourier extension method and discrete orthogonal polynomials on an arc of the circle. (English) Zbl 07184866 Adv. Math. 365, Article ID 107064, 57 p. (2020). MSC: 65T40 42A10 35Q15 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{K. Liechty}, Adv. Math. 365, Article ID 107064, 57 p. (2020; Zbl 07184866) Full Text: DOI arXiv
Iliev, Plamen; Xu, Yuan Hahn polynomials on polyhedra and quantum integrability. (English) Zbl 1448.33012 Adv. Math. 364, Article ID 107032, 37 p. (2020). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C50 33C80 81R12 PDFBibTeX XMLCite \textit{P. Iliev} and \textit{Y. Xu}, Adv. Math. 364, Article ID 107032, 37 p. (2020; Zbl 1448.33012) Full Text: DOI arXiv
Bessonov, Roman; Denisov, Sergey A spectral Szegő theorem on the real line. (English) Zbl 1428.42046 Adv. Math. 359, Article ID 106851, 41 p. (2020). MSC: 42C05 42B25 34L40 34A55 81Q12 PDFBibTeX XMLCite \textit{R. Bessonov} and \textit{S. Denisov}, Adv. Math. 359, Article ID 106851, 41 p. (2020; Zbl 1428.42046) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Simanek, Brian; Simon, Barry Poncelet’s theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. (English) Zbl 1497.47012 Adv. Math. 349, 992-1035 (2019). MSC: 47A12 42C05 34L05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Adv. Math. 349, 992--1035 (2019; Zbl 1497.47012) Full Text: DOI arXiv Link
López Lagomasino, G.; Medina Peralta, S.; Szmigielski, J. Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. (English) Zbl 1435.30119 Adv. Math. 349, 813-838 (2019). Reviewer: Arthur Danielyan (Tampa) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., Adv. Math. 349, 813--838 (2019; Zbl 1435.30119) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F. Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight. (English) Zbl 1417.42027 Adv. Math. 349, 246-315 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 30C70 30E10 30F30 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{G. L. F. Silva}, Adv. Math. 349, 246--315 (2019; Zbl 1417.42027) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Doubly infinite Jacobi matrices revisited: resolvent and spectral measure. (English) Zbl 07003588 Adv. Math. 343, 157-192 (2019). MSC: 47B36 33C45 PDFBibTeX XMLCite \textit{D. Dai} et al., Adv. Math. 343, 157--192 (2019; Zbl 07003588) Full Text: DOI
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. (English) Zbl 1405.33012 Adv. Math. 333, 796-821 (2018). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{T. Koornwinder} et al., Adv. Math. 333, 796--821 (2018; Zbl 1405.33012) Full Text: DOI arXiv
Spiridonov, V. P. Rarefied elliptic hypergeometric functions. (English) Zbl 1480.33009 Adv. Math. 331, 830-873 (2018). MSC: 33E20 33C52 33D05 33E05 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Adv. Math. 331, 830--873 (2018; Zbl 1480.33009) Full Text: DOI arXiv
Feigin, Evgeny; Makedonskyi, Ievgen; Orr, Daniel Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions. (English) Zbl 1468.33020 Adv. Math. 330, 997-1033 (2018). MSC: 33D52 33C67 16S30 17B10 PDFBibTeX XMLCite \textit{E. Feigin} et al., Adv. Math. 330, 997--1033 (2018; Zbl 1468.33020) Full Text: DOI arXiv
Grünbaum, F. A.; Velázquez, L. A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks. (English) Zbl 1464.47011 Adv. Math. 326, 352-464 (2018). Reviewer: Uwe Franz (Besançon) MSC: 47A56 42C05 47B36 60J10 81Q99 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{L. Velázquez}, Adv. Math. 326, 352--464 (2018; Zbl 1464.47011) Full Text: DOI arXiv
Nowak, Adam; Sjögren, Peter; Szarek, Tomasz Z. Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions. (English) Zbl 1372.42023 Adv. Math. 318, 307-354 (2017). MSC: 42C10 42C05 PDFBibTeX XMLCite \textit{A. Nowak} et al., Adv. Math. 318, 307--354 (2017; Zbl 1372.42023) Full Text: DOI arXiv
Danka, Tivadar Universality limits for generalized Jacobi measures. (English) Zbl 1369.42019 Adv. Math. 316, 613-666 (2017). MSC: 42C05 31A99 33C10 33C45 PDFBibTeX XMLCite \textit{T. Danka}, Adv. Math. 316, 613--666 (2017; Zbl 1369.42019) Full Text: DOI arXiv
Iliev, Plamen; Xu, Yuan Connection coefficients for classical orthogonal polynomials of several variables. (English) Zbl 1365.33012 Adv. Math. 310, 290-326 (2017). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C50 33C70 42C05 PDFBibTeX XMLCite \textit{P. Iliev} and \textit{Y. Xu}, Adv. Math. 310, 290--326 (2017; Zbl 1365.33012) Full Text: DOI arXiv
Qiu, Yanqi Infinite random matrices & ergodic decomposition of finite and infinite Hua-Pickrell measures. (English) Zbl 1407.60011 Adv. Math. 308, 1209-1268 (2017). MSC: 60B20 33C45 PDFBibTeX XMLCite \textit{Y. Qiu}, Adv. Math. 308, 1209--1268 (2017; Zbl 1407.60011) Full Text: DOI arXiv
Petrullo, P.; Senato, D.; Simone, R. Orthogonal polynomials through the invariant theory of binary forms. (English) Zbl 1358.33007 Adv. Math. 303, 123-150 (2016). Reviewer: Christoph Koutschan (Linz) MSC: 33C45 33C52 42C05 05E05 PDFBibTeX XMLCite \textit{P. Petrullo} et al., Adv. Math. 303, 123--150 (2016; Zbl 1358.33007) Full Text: DOI arXiv Link
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate orthogonal polynomials and integrable systems. (English) Zbl 1350.15002 Adv. Math. 302, 628-739 (2016). MSC: 15A23 42C05 65F05 37K10 37L60 46L55 PDFBibTeX XMLCite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 302, 628--739 (2016; Zbl 1350.15002) Full Text: DOI arXiv
Dai, Feng; Feng, Han Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices. (English) Zbl 1353.33006 Adv. Math. 301, 549-614 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C50 33C52 42B15 42C10 PDFBibTeX XMLCite \textit{F. Dai} and \textit{H. Feng}, Adv. Math. 301, 549--614 (2016; Zbl 1353.33006) Full Text: DOI
Kozhan, Rostyslav Finite range perturbations of finite gap Jacobi and CMV operators. (English) Zbl 1422.47032 Adv. Math. 301, 204-226 (2016). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 42C05 PDFBibTeX XMLCite \textit{R. Kozhan}, Adv. Math. 301, 204--226 (2016; Zbl 1422.47032) Full Text: DOI arXiv
Olshanski, Grigori The representation ring of the unitary groups and Markov processes of algebraic origin. (English) Zbl 1359.22016 Adv. Math. 300, 544-615 (2016). Reviewer: Heinrich Hering (Rockenberg) MSC: 22E66 60J25 43A40 43A80 60J35 PDFBibTeX XMLCite \textit{G. Olshanski}, Adv. Math. 300, 544--615 (2016; Zbl 1359.22016) Full Text: DOI arXiv
Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. Darboux transformations for CMV matrices. (English) Zbl 1345.42029 Adv. Math. 298, 122-206 (2016). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 47B36 15A23 PDFBibTeX XMLCite \textit{M. J. Cantero} et al., Adv. Math. 298, 122--206 (2016; Zbl 1345.42029) Full Text: DOI arXiv
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír Branching laws for Verma modules and applications in parabolic geometry. I. (English) Zbl 1327.53044 Adv. Math. 285, 1796-1852 (2015). MSC: 53C21 53A30 22E47 33C45 58J70 PDFBibTeX XMLCite \textit{T. Kobayashi} et al., Adv. Math. 285, 1796--1852 (2015; Zbl 1327.53044) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E. Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit. (English) Zbl 1331.33032 Adv. Math. 285, 1225-1240 (2015). Reviewer: Francisco Marcellán (Leganes) MSC: 33C67 33C52 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{E. Emsiz}, Adv. Math. 285, 1225--1240 (2015; Zbl 1331.33032) Full Text: DOI arXiv
Cherednik, Ivan; Feigin, Evgeny Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials. (English) Zbl 1378.17040 Adv. Math. 282, 220-264 (2015). MSC: 17B67 20C08 33D52 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{E. Feigin}, Adv. Math. 282, 220--264 (2015; Zbl 1378.17040) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Tovbis, A. The supercritical regime in the normal matrix model with cubic potential. (English) Zbl 1330.82024 Adv. Math. 283, 530-587 (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B41 82B27 42C05 15A18 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{A. Tovbis}, Adv. Math. 283, 530--587 (2015; Zbl 1330.82024) Full Text: DOI arXiv
An, Li-Xiang; He, Xing-Gang; Lau, Ka-Sing Spectrality of a class of infinite convolutions. (English) Zbl 1323.28007 Adv. Math. 283, 362-376 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 42C05 PDFBibTeX XMLCite \textit{L.-X. An} et al., Adv. Math. 283, 362--376 (2015; Zbl 1323.28007) Full Text: DOI
López Lagomasino, G.; Medina Peralta, S. On the convergence of type I Hermite-Padé approximants. (English) Zbl 1307.30078 Adv. Math. 273, 124-148 (2015). MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{S. Medina Peralta}, Adv. Math. 273, 124--148 (2015; Zbl 1307.30078) Full Text: DOI arXiv
Sinclair, Christopher D.; Yattselev, Maxim L. Root statistics of random polynomials with bounded Mahler measure. (English) Zbl 1337.60099 Adv. Math. 272, 124-199 (2015). MSC: 60G55 60B20 26C10 15B52 11C08 11G50 42C05 33C15 82B21 PDFBibTeX XMLCite \textit{C. D. Sinclair} and \textit{M. L. Yattselev}, Adv. Math. 272, 124--199 (2015; Zbl 1337.60099) Full Text: DOI arXiv
López-Sánchez, Luis Daniel; Martell, José María; Parcet, Javier Dyadic harmonic analysis beyond doubling measures. (English) Zbl 1304.42041 Adv. Math. 267, 44-93 (2014). MSC: 42B20 42B10 42B25 42C40 42C10 PDFBibTeX XMLCite \textit{L. D. López-Sánchez} et al., Adv. Math. 267, 44--93 (2014; Zbl 1304.42041) Full Text: DOI arXiv
Breuer, Jonathan; Duits, Maurice The Nevai condition and a local law of large numbers for orthogonal polynomial ensembles. (English) Zbl 1335.60031 Adv. Math. 265, 441-484 (2014). MSC: 60F15 60G55 42C05 PDFBibTeX XMLCite \textit{J. Breuer} and \textit{M. Duits}, Adv. Math. 265, 441--484 (2014; Zbl 1335.60031) Full Text: DOI arXiv
Ariznabarreta, Gerardo; Mañas, Manuel Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems. (English) Zbl 1305.33018 Adv. Math. 264, 396-463 (2014). MSC: 33C45 37K10 37L60 42C05 46L55 PDFBibTeX XMLCite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 264, 396--463 (2014; Zbl 1305.33018) Full Text: DOI arXiv
Dai, Xin-Rong; He, Xing-Gang; Lau, Ka-Sing On spectral \({N}\)-Bernoulli measures. (English) Zbl 1303.28011 Adv. Math. 259, 511-531 (2014). Reviewer: Peter Massopust (München) MSC: 28A80 42C05 PDFBibTeX XMLCite \textit{X.-R. Dai} et al., Adv. Math. 259, 511--531 (2014; Zbl 1303.28011) Full Text: DOI arXiv
Stokman, Jasper V. Connection coefficients for basic Harish-Chandra series. (English) Zbl 1320.33030 Adv. Math. 250, 351-386 (2014). MSC: 33D52 33D67 PDFBibTeX XMLCite \textit{J. V. Stokman}, Adv. Math. 250, 351--386 (2014; Zbl 1320.33030) Full Text: DOI arXiv
Feigin, Misha; Silantyev, Alexey Generalized Macdonald-Ruijsenaars systems. (English) Zbl 1304.20010 Adv. Math. 250, 144-192 (2014). MSC: 20C08 33D80 33D52 17B22 81R50 39A70 47B39 PDFBibTeX XMLCite \textit{M. Feigin} and \textit{A. Silantyev}, Adv. Math. 250, 144--192 (2014; Zbl 1304.20010) Full Text: DOI arXiv
Cherednik, Ivan; Feigin, Boris Rogers-Ramanujan type identities and nil-DAHA. (English) Zbl 1298.33029 Adv. Math. 248, 1050-1088 (2013). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 20C08 11P84 33B30 33D80 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{B. Feigin}, Adv. Math. 248, 1050--1088 (2013; Zbl 1298.33029) Full Text: DOI arXiv
Groenevelt, Wolter; Ismail, Mourad E. H.; Koelink, Erik Spectral decomposition and matrix-valued orthogonal polynomials. (English) Zbl 1286.42035 Adv. Math. 244, 91-105 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{W. Groenevelt} et al., Adv. Math. 244, 91--105 (2013; Zbl 1286.42035) Full Text: DOI arXiv
Denisov, S.; Kupin, S. On the growth of the polynomial entropy integrals for measures in the Szegő class. (English) Zbl 1278.47034 Adv. Math. 241, 18-32 (2013). MSC: 47B36 42C05 PDFBibTeX XMLCite \textit{S. Denisov} and \textit{S. Kupin}, Adv. Math. 241, 18--32 (2013; Zbl 1278.47034) Full Text: DOI arXiv
Álvarez-Fernández, Carlos; Mañas, Manuel Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies. (English) Zbl 1293.30077 Adv. Math. 240, 132-193 (2013). MSC: 30E99 42C05 37K10 PDFBibTeX XMLCite \textit{C. Álvarez-Fernández} and \textit{M. Mañas}, Adv. Math. 240, 132--193 (2013; Zbl 1293.30077) Full Text: DOI arXiv
Chalykh, Oleg; Etingof, Pavel Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. (English) Zbl 1282.33028 Adv. Math. 238, 246-289 (2013). Reviewer: József Sándor (Cluj-Napoca) MSC: 33D52 PDFBibTeX XMLCite \textit{O. Chalykh} and \textit{P. Etingof}, Adv. Math. 238, 246--289 (2013; Zbl 1282.33028) Full Text: DOI arXiv
Ciaurri, Óscar; Roncal, Luz; Stinga, Pablo Raúl Fractional integrals on compact Riemannian symmetric spaces of rank one. (English) Zbl 1297.43011 Adv. Math. 235, 627-647 (2013). Reviewer: Haibo Lin (Beijing) MSC: 43A85 58J05 42C10 42B35 33C45 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Adv. Math. 235, 627--647 (2013; Zbl 1297.43011) Full Text: DOI arXiv
Bleher, Pavel M.; Kuijlaars, Arno B. J. Orthogonal polynomials in the normal matrix model with a cubic potential. (English) Zbl 1250.42079 Adv. Math. 230, No. 3, 1272-1321 (2012). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. B. J. Kuijlaars}, Adv. Math. 230, No. 3, 1272--1321 (2012; Zbl 1250.42079) Full Text: DOI arXiv
Frenkel, Igor; Zhu, Minxian Vertex algebras associated to modified regular representations of the Virasoro algebra. (English) Zbl 1256.17011 Adv. Math. 229, No. 6, 3468-3507 (2012). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 17B68 33C45 33C80 PDFBibTeX XMLCite \textit{I. Frenkel} and \textit{M. Zhu}, Adv. Math. 229, No. 6, 3468--3507 (2012; Zbl 1256.17011) Full Text: DOI arXiv
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Dunkl shift operators and Bannai-Ito polynomials. (English) Zbl 1248.33022 Adv. Math. 229, No. 4, 2123-2158 (2012). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{S. Tsujimoto} et al., Adv. Math. 229, No. 4, 2123--2158 (2012; Zbl 1248.33022) Full Text: DOI arXiv
Cappiello, Marco; Nicola, Fabio Regularity and decay of solutions of nonlinear harmonic oscillators. (English) Zbl 1233.35058 Adv. Math. 229, No. 2, 1266-1299 (2012). MSC: 35B65 35B40 34C15 33C45 35S05 PDFBibTeX XMLCite \textit{M. Cappiello} and \textit{F. Nicola}, Adv. Math. 229, No. 2, 1266--1299 (2012; Zbl 1233.35058) Full Text: DOI arXiv
Christiansen, Jacob S. Szegő’s theorem on Parreau-Widom sets. (English) Zbl 1235.42021 Adv. Math. 229, No. 2, 1180-1204 (2012). Reviewer: Brett Wick (Atlanta) MSC: 42C05 47B36 30Jxx 31Axx PDFBibTeX XMLCite \textit{J. S. Christiansen}, Adv. Math. 229, No. 2, 1180--1204 (2012; Zbl 1235.42021) Full Text: DOI arXiv
Álvarez-Fernández, Carlos; Prieto, Ulises Fidalgo; Mañas, Manuel Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy. (English) Zbl 1272.37033 Adv. Math. 227, No. 4, 1451-1525 (2011). MSC: 37K60 42C05 37K10 41A20 41A28 PDFBibTeX XMLCite \textit{C. Álvarez-Fernández} et al., Adv. Math. 227, No. 4, 1451--1525 (2011; Zbl 1272.37033) Full Text: DOI arXiv
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael On the Markov sequence problem for Jacobi polynomials. (English) Zbl 1228.31002 Adv. Math. 226, No. 4, 3426-3466 (2011). Reviewer: Renming Song (Urbana) MSC: 31B10 33C45 PDFBibTeX XMLCite \textit{E. A. Carlen} et al., Adv. Math. 226, No. 4, 3426--3466 (2011; Zbl 1228.31002) Full Text: DOI arXiv
Ram, Arun; Yip, Martha A combinatorial formula for Macdonald polynomials. (English) Zbl 1291.05210 Adv. Math. 226, No. 1, 309-331 (2011). MSC: 05E05 33D52 PDFBibTeX XMLCite \textit{A. Ram} and \textit{M. Yip}, Adv. Math. 226, No. 1, 309--331 (2011; Zbl 1291.05210) Full Text: DOI arXiv
Warnaar, S. Ole The \({\mathfrak{sl}}_3\) Selberg integral. (English) Zbl 1194.33014 Adv. Math. 224, No. 2, 499-524 (2010). Reviewer: P. K. Banerji (Jodhpur) MSC: 33C70 33D05 33D52 PDFBibTeX XMLCite \textit{S. O. Warnaar}, Adv. Math. 224, No. 2, 499--524 (2010; Zbl 1194.33014) Full Text: DOI arXiv
Strahov, Eugene The \(z\)-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel. (English) Zbl 1205.60099 Adv. Math. 224, No. 1, 130-168 (2010). Reviewer: Viktor Ohanyan (Erevan) MSC: 60G55 20C32 28E05 PDFBibTeX XMLCite \textit{E. Strahov}, Adv. Math. 224, No. 1, 130--168 (2010; Zbl 1205.60099) Full Text: DOI arXiv
Lassalle, Michel Jack polynomials and free cumulants. (English) Zbl 1228.05292 Adv. Math. 222, No. 6, 2227-2269 (2009). MSC: 05E05 05E10 33C52 46L54 PDFBibTeX XMLCite \textit{M. Lassalle}, Adv. Math. 222, No. 6, 2227--2269 (2009; Zbl 1228.05292) Full Text: DOI arXiv
Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction. (English) Zbl 1194.42030 Adv. Math. 222, No. 4, 1405-1460 (2009). MSC: 42C05 32A36 30C40 31A15 94A08 30C70 30E05 65E05 PDFBibTeX XMLCite \textit{B. Gustafsson} et al., Adv. Math. 222, No. 4, 1405--1460 (2009; Zbl 1194.42030) Full Text: DOI arXiv
Sergeev, A. N.; Veselov, A. P. \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. (English) Zbl 1220.33014 Adv. Math. 222, No. 5, 1687-1726 (2009). MSC: 33C52 05E05 33C45 33C80 37J35 81R12 PDFBibTeX XMLCite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Adv. Math. 222, No. 5, 1687--1726 (2009; Zbl 1220.33014) Full Text: DOI arXiv
Lenart, Cristian On combinatorial formulas for MacDonald polynomials. (English) Zbl 1247.05261 Adv. Math. 220, No. 1, 324-340 (2009). MSC: 05E05 05E10 33D52 PDFBibTeX XMLCite \textit{C. Lenart}, Adv. Math. 220, No. 1, 324--340 (2009; Zbl 1247.05261) Full Text: DOI arXiv
Bertola, M.; Mo, M. Y. Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. (English) Zbl 1153.39027 Adv. Math. 220, No. 1, 154-218 (2009). Reviewer: Christian Pötzsche (München) MSC: 39A70 47B39 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{M. Y. Mo}, Adv. Math. 220, No. 1, 154--218 (2009; Zbl 1153.39027) Full Text: DOI arXiv
Levin, Eli; Lubinsky, Doron S. Universality limits in the bulk for varying measures. (English) Zbl 1176.28014 Adv. Math. 219, No. 3, 743-779 (2008). Reviewer: Dumitrŭ Popa (Constanţa) MSC: 28B99 15B52 33C47 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, Adv. Math. 219, No. 3, 743--779 (2008; Zbl 1176.28014) Full Text: DOI
Hu, Tian-You; Lau, Ka-Sing Spectral property of the Bernoulli convolutions. (English) Zbl 1268.42044 Adv. Math. 219, No. 2, 554-567 (2008). MSC: 42C05 42A65 28A78 28A80 PDFBibTeX XMLCite \textit{T.-Y. Hu} and \textit{K.-S. Lau}, Adv. Math. 219, No. 2, 554--567 (2008; Zbl 1268.42044) Full Text: DOI
López García, Abey; López Lagomasino, Guillermo Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. (English) Zbl 1153.42013 Adv. Math. 218, No. 4, 1081-1106 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. López García} and \textit{G. López Lagomasino}, Adv. Math. 218, No. 4, 1081--1106 (2008; Zbl 1153.42013) Full Text: DOI arXiv
Zhang, Ruiming Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings. (English) Zbl 1142.30015 Adv. Math. 218, No. 4, 1051-1080 (2008). Reviewer: Jacek Gilewicz (Marseille) MSC: 30E15 33D45 PDFBibTeX XMLCite \textit{R. Zhang}, Adv. Math. 218, No. 4, 1051--1080 (2008; Zbl 1142.30015) Full Text: DOI
Zhang, Ruiming Plancherel-Rotach asymptotics for certain basic hypergeometric series. (English) Zbl 1218.30101 Adv. Math. 217, No. 4, 1588-1613 (2008). MSC: 30E15 33D45 PDFBibTeX XMLCite \textit{R. Zhang}, Adv. Math. 217, No. 4, 1588--1613 (2008; Zbl 1218.30101) Full Text: DOI arXiv
Nowak, Adam; Stempak, Krzysztof Riesz transforms for multi-dimensional Laguerre function expansions. (English) Zbl 1166.42016 Adv. Math. 215, No. 2, 642-678 (2007). Reviewer: Lizhong Peng (Beijing) MSC: 42C10 42B20 44A20 PDFBibTeX XMLCite \textit{A. Nowak} and \textit{K. Stempak}, Adv. Math. 215, No. 2, 642--678 (2007; Zbl 1166.42016) Full Text: DOI
Desrosiers, Patrick; Lapointe, Luc; Mathieu, Pierre Orthogonality of Jack polynomials in superspace. (English) Zbl 1123.05092 Adv. Math. 212, No. 1, 361-388 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 05E35 33D52 81Q60 PDFBibTeX XMLCite \textit{P. Desrosiers} et al., Adv. Math. 212, No. 1, 361--388 (2007; Zbl 1123.05092) Full Text: DOI arXiv
Iliev, Plamen; Xu, Yuan Discrete orthogonal polynomials and difference equations of several variables. (English) Zbl 1133.47027 Adv. Math. 212, No. 1, 1-36 (2007). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B39 42C05 39A12 39A20 33C45 PDFBibTeX XMLCite \textit{P. Iliev} and \textit{Y. Xu}, Adv. Math. 212, No. 1, 1--36 (2007; Zbl 1133.47027) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Changgui Zeros of entire functions and a problem of Ramanujan. (English) Zbl 1107.33018 Adv. Math. 209, No. 1, 363-380 (2007). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 33E05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{C. Zhang}, Adv. Math. 209, No. 1, 363--380 (2007; Zbl 1107.33018) Full Text: DOI
Feigin, B.; Feigin, E. Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials. (English) Zbl 1201.17017 Adv. Math. 206, No. 2, 307-328 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B69 33D52 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Feigin}, Adv. Math. 206, No. 2, 307--328 (2006; Zbl 1201.17017) Full Text: DOI arXiv
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris On rational approximation of algebraic functions. (English) Zbl 1108.30025 Adv. Math. 204, No. 2, 448-480 (2006). Reviewer: Jesus Illán González (Vigo) MSC: 30E10 41A20 42C05 82B05 41A21 PDFBibTeX XMLCite \textit{J. Borcea} et al., Adv. Math. 204, No. 2, 448--480 (2006; Zbl 1108.30025) Full Text: DOI arXiv
Ismail, Mourad E. H.; Stanton, Dennis Ramanujan continued fractions via orthogonal polynomials. (English) Zbl 1103.11003 Adv. Math. 203, No. 1, 170-193 (2006). Reviewer: Takao Komatsu (Hirosaki) MSC: 11A55 40A15 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. Stanton}, Adv. Math. 203, No. 1, 170--193 (2006; Zbl 1103.11003) Full Text: DOI
Onn, Uri From \(p\)-adic to real Grassmannians via the quantum. (English) Zbl 1118.33006 Adv. Math. 204, No. 1, 152-175 (2006). Reviewer: Vivek Sahai (Lucknow) MSC: 33D52 22E35 PDFBibTeX XMLCite \textit{U. Onn}, Adv. Math. 204, No. 1, 152--175 (2006; Zbl 1118.33006) Full Text: DOI arXiv
Lassalle, Michel; Schlosser, Michael Inversion of the Pieri formula for Macdonald polynomials. (English) Zbl 1106.33015 Adv. Math. 202, No. 2, 289-325 (2006). Reviewer: Christian Krattenthaler (Wien) MSC: 33D52 05E05 15A09 PDFBibTeX XMLCite \textit{M. Lassalle} and \textit{M. Schlosser}, Adv. Math. 202, No. 2, 289--325 (2006; Zbl 1106.33015) Full Text: DOI arXiv
Ion, Bogdan Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series. (English) Zbl 1103.33010 Adv. Math. 201, No. 1, 36-42 (2006). Reviewer: Vesselin Drensky (Sofia) MSC: 33D52 22E35 43A90 05E05 33D80 PDFBibTeX XMLCite \textit{B. Ion}, Adv. Math. 201, No. 1, 36--42 (2006; Zbl 1103.33010) Full Text: DOI arXiv
Borodin, Alexei; Olshanski, Grigori Random partitions and the gamma kernel. (English) Zbl 1128.60301 Adv. Math. 194, No. 1, 141-202 (2005). MSC: 60C05 33C45 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{G. Olshanski}, Adv. Math. 194, No. 1, 141--202 (2005; Zbl 1128.60301) Full Text: DOI arXiv
Sergeev, A. N.; Veselov, A. P. Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. (English) Zbl 1069.05076 Adv. Math. 192, No. 2, 341-375 (2005). MSC: 05E05 81R12 33D45 PDFBibTeX XMLCite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Adv. Math. 192, No. 2, 341--375 (2005; Zbl 1069.05076) Full Text: DOI arXiv
Letzter, Gail Quantum zonal spherical functions and Macdonald polynomials. (English) Zbl 1127.17018 Adv. Math. 189, No. 1, 88-147 (2004). Reviewer: Fabio Scarabotti (Roma) MSC: 17B37 20G42 33D52 33D80 43A90 PDFBibTeX XMLCite \textit{G. Letzter}, Adv. Math. 189, No. 1, 88--147 (2004; Zbl 1127.17018) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. (English) Zbl 1082.42017 Adv. Math. 188, No. 2, 337-398 (2004). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E25 33C10 35Q15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Adv. Math. 188, No. 2, 337--398 (2004; Zbl 1082.42017) Full Text: DOI arXiv
Oblomkov, A. Heckman-Opdam’s Jacobi polynomials for the \(BC_{n}\) root system and generalized spherical functions. (English) Zbl 1054.33007 Adv. Math. 186, No. 1, 153-180 (2004). MSC: 33C52 PDFBibTeX XMLCite \textit{A. Oblomkov}, Adv. Math. 186, No. 1, 153--180 (2004; Zbl 1054.33007) Full Text: DOI
Kajihara, Yasushi Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications. (English) Zbl 1072.33015 Adv. Math. 187, No. 1, 53-97 (2004). Reviewer: Christian Krattenthaler (Wien) MSC: 33D67 33C67 33D52 PDFBibTeX XMLCite \textit{Y. Kajihara}, Adv. Math. 187, No. 1, 53--97 (2004; Zbl 1072.33015) Full Text: DOI
Miyachi, Akihiko A transplantation theorem for Jacobi series in weighted Hardy spaces. (English) Zbl 1044.33006 Adv. Math. 184, No. 1, 177-206 (2004). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42A16 PDFBibTeX XMLCite \textit{A. Miyachi}, Adv. Math. 184, No. 1, 177--206 (2004; Zbl 1044.33006) Full Text: DOI
Mizukawa, Hiroshi Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions. (English) Zbl 1054.33011 Adv. Math. 184, No. 1, 1-17 (2004). Reviewer: Fabio Scarabotti (Roma) MSC: 33C80 05E35 33C45 43A90 PDFBibTeX XMLCite \textit{H. Mizukawa}, Adv. Math. 184, No. 1, 1--17 (2004; Zbl 1054.33011) Full Text: DOI
Chalykh, Oleg A. Macdonald polynomials and algebraic integrability. (English) Zbl 1004.33009 Adv. Math. 166, No. 2, 193-259 (2002). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D52 33D80 81R12 PDFBibTeX XMLCite \textit{O. A. Chalykh}, Adv. Math. 166, No. 2, 193--259 (2002; Zbl 1004.33009) Full Text: DOI arXiv
van Diejen, J. F.; Kirillov, A. N. A combinatorial formula for the associated Legendre functions of integer degree. (English) Zbl 0941.33007 Adv. Math. 149, No. 1, 61-88 (2000). Reviewer: R.Szwarc (Wrocław) MSC: 33C45 34L40 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{A. N. Kirillov}, Adv. Math. 149, No. 1, 61--88 (2000; Zbl 0941.33007) Full Text: DOI Link
Mimachi, Katsuhisa Askey-Wilson polynomials by means of a \(q\)-Selberg type integral. (English) Zbl 0942.33011 Adv. Math. 147, No. 2, 315-327 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 33D45 PDFBibTeX XMLCite \textit{K. Mimachi}, Adv. Math. 147, No. 2, 315--327 (1999; Zbl 0942.33011) Full Text: DOI