Gu, Jing; Yang, DunKun; Bao, Qi Two \(q\)-operational equations and Hahn polynomials. (English) Zbl 07823179 Complex Anal. Oper. Theory 18, No. 3, Paper No. 53, 29 p. (2024). MSC: 05A30 33D45 33D90 PDFBibTeX XMLCite \textit{J. Gu} et al., Complex Anal. Oper. Theory 18, No. 3, Paper No. 53, 29 p. (2024; Zbl 07823179) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Free probability on the limit \(C^\ast\)-algebra induced by a chain of graphs. (English) Zbl 07785411 Complex Anal. Oper. Theory 18, No. 1, Paper No. 11, 48 p. (2024). MSC: 46L54 05C20 05C63 17A50 18B40 47A99 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Complex Anal. Oper. Theory 18, No. 1, Paper No. 11, 48 p. (2024; Zbl 07785411) Full Text: DOI
Oussi, Lahcen Distribution for non symmetric position operators on the free toy Fock space and its approximation on the full Fock space. (English) Zbl 07757931 Complex Anal. Oper. Theory 17, No. 7, Paper No. 117, 20 p. (2023). Reviewer: Alexander Belton (Plymouth) MSC: 46L53 46L54 60F05 05A17 PDFBibTeX XMLCite \textit{L. Oussi}, Complex Anal. Oper. Theory 17, No. 7, Paper No. 117, 20 p. (2023; Zbl 07757931) Full Text: DOI OA License
Chavan, Sameer; Gupta, Rajeev; Sinha, Kalyan B. Weighted join operators on directed trees. (English) Zbl 07662968 Complex Anal. Oper. Theory 17, No. 3, Paper No. 36, 102 p. (2023). MSC: 47B37 47B15 47H06 05C20 47B20 PDFBibTeX XMLCite \textit{S. Chavan} et al., Complex Anal. Oper. Theory 17, No. 3, Paper No. 36, 102 p. (2023; Zbl 07662968) Full Text: DOI arXiv
Brahim, Kamel; Elmonser, Hedi Some new \(q\)-versions of Ramanujan’s master theorem. (English) Zbl 1528.33022 Complex Anal. Oper. Theory 17, No. 1, Paper No. 17, 15 p. (2023). MSC: 33D60 33D05 33D15 30B40 30D10 05A30 PDFBibTeX XMLCite \textit{K. Brahim} and \textit{H. Elmonser}, Complex Anal. Oper. Theory 17, No. 1, Paper No. 17, 15 p. (2023; Zbl 1528.33022) Full Text: DOI
Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz Distributions for nonsymmetric monotone and weakly monotone position operators. (English) Zbl 1481.46069 Complex Anal. Oper. Theory 15, No. 6, Paper No. 101, 26 p. (2021). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 60B99 05A18 PDFBibTeX XMLCite \textit{V. Crismale} et al., Complex Anal. Oper. Theory 15, No. 6, Paper No. 101, 26 p. (2021; Zbl 1481.46069) Full Text: DOI arXiv
Casadio Tarabusi, Enrico; Picardello, Massimo A. Radon transforms in hyperbolic spaces and their discrete counterparts. (English) Zbl 1465.44001 Complex Anal. Oper. Theory 15, No. 1, Paper No. 13, 40 p. (2021). MSC: 44A12 43A90 51M10 05C05 53C65 PDFBibTeX XMLCite \textit{E. Casadio Tarabusi} and \textit{M. A. Picardello}, Complex Anal. Oper. Theory 15, No. 1, Paper No. 13, 40 p. (2021; Zbl 1465.44001) Full Text: DOI
Athmouni, Nassim; Ennaceur, Marwa; Golénia, Sylvain Spectral analysis of the Laplacian acting on discrete cusps and funnels. (English) Zbl 1456.81175 Complex Anal. Oper. Theory 15, No. 1, Paper No. 10, 41 p. (2021). MSC: 81Q10 81Q35 47B25 47A10 05C63 39A12 PDFBibTeX XMLCite \textit{N. Athmouni} et al., Complex Anal. Oper. Theory 15, No. 1, Paper No. 10, 41 p. (2021; Zbl 1456.81175) Full Text: DOI arXiv HAL
Schleißinger, Sebastian Loewner’s differential equation and spidernets. (English) Zbl 1462.30047 Complex Anal. Oper. Theory 13, No. 8, 3899-3921 (2019). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C80 30C35 46L53 05C50 PDFBibTeX XMLCite \textit{S. Schleißinger}, Complex Anal. Oper. Theory 13, No. 8, 3899--3921 (2019; Zbl 1462.30047) Full Text: DOI arXiv
Aiello, Valeriano; Conti, Roberto The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups \(\vec{F}\) and \(\vec{T} \). (English) Zbl 1428.43005 Complex Anal. Oper. Theory 13, No. 7, 3127-3149 (2019). Reviewer: Bruno Zimmermann (Trieste) MSC: 43A35 57K14 05C31 PDFBibTeX XMLCite \textit{V. Aiello} and \textit{R. Conti}, Complex Anal. Oper. Theory 13, No. 7, 3127--3149 (2019; Zbl 1428.43005) Full Text: DOI arXiv
Medini, Zied Discrete magnetic bottles on quasi-linear graphs. (English) Zbl 1479.05210 Complex Anal. Oper. Theory 13, No. 3, 1401-1417 (2019). MSC: 05C50 05C63 35J10 81Q35 34L40 PDFBibTeX XMLCite \textit{Z. Medini}, Complex Anal. Oper. Theory 13, No. 3, 1401--1417 (2019; Zbl 1479.05210) Full Text: DOI
Anné, Colette; Balti, Marwa; Torki-Hamza, Nabila Sectoriality and essential spectrum of non symmetric graph Laplacians. (English) Zbl 1480.47033 Complex Anal. Oper. Theory 13, No. 3, 967-983 (2019). MSC: 47B12 05C50 47A12 47A10 47B28 39A12 47B37 PDFBibTeX XMLCite \textit{C. Anné} et al., Complex Anal. Oper. Theory 13, No. 3, 967--983 (2019; Zbl 1480.47033) Full Text: DOI arXiv
Balti, Marwa On the eigenvalues of weighted directed graphs. (English) Zbl 06813680 Complex Anal. Oper. Theory 11, No. 6, 1387-1406 (2017). MSC: 47A10 35P15 49R05 05C50 47A75 PDFBibTeX XMLCite \textit{M. Balti}, Complex Anal. Oper. Theory 11, No. 6, 1387--1406 (2017; Zbl 06813680) Full Text: DOI arXiv
Cho, Ilwoo Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\). (English) Zbl 1359.05138 Complex Anal. Oper. Theory 11, No. 3, 507-565 (2017). MSC: 05E15 11G15 11R47 11R56 46L10 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 11, No. 3, 507--565 (2017; Zbl 1359.05138) Full Text: DOI
Jorgensen, Palle E. T.; Pearse, Erin P. J. Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. (English) Zbl 1353.05080 Complex Anal. Oper. Theory 10, No. 7, 1535-1550 (2016). MSC: 05C50 05C63 05C82 46B22 46E22 47B15 47B25 47B32 47B39 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 10, No. 7, 1535--1550 (2016; Zbl 1353.05080) Full Text: DOI arXiv
Cho, Ilwoo Factorization of \(\mathbb C\)-valued functions induced by graphs. (English) Zbl 1353.05125 Complex Anal. Oper. Theory 10, No. 7, 1453-1499 (2016). MSC: 05E15 05C20 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 10, No. 7, 1453--1499 (2016; Zbl 1353.05125) Full Text: DOI
Cho, Ilwoo Representations and corresponding operators induced by Hecke algebras. (English) Zbl 1332.05152 Complex Anal. Oper. Theory 10, No. 3, 437-477 (2016). MSC: 05E15 05E10 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 10, No. 3, 437--477 (2016; Zbl 1332.05152) Full Text: DOI
Cho, Ilwoo; Gillespie, Timothy L. Free probability on Hecke algebras. (English) Zbl 1325.11127 Complex Anal. Oper. Theory 9, No. 7, 1491-1531 (2015). MSC: 46L54 05E15 46L10 46L40 46L53 47L55 47S10 PDFBibTeX XMLCite \textit{I. Cho} and \textit{T. L. Gillespie}, Complex Anal. Oper. Theory 9, No. 7, 1491--1531 (2015; Zbl 1325.11127) Full Text: DOI
Cho, Ilwoo \(\mathbb C\)-valued functions induced by graphs. (English) Zbl 1314.05228 Complex Anal. Oper. Theory 9, No. 3, 519-565 (2015). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 9, No. 3, 519--565 (2015; Zbl 1314.05228) Full Text: DOI
Cho, Ilwoo Index semigroup and indexing on von Neumann algebras. (English) Zbl 1304.05056 Complex Anal. Oper. Theory 8, No. 3, 683-707 (2014). MSC: 05C20 20L05 46L10 46N50 47N99 81P45 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 8, No. 3, 683--707 (2014; Zbl 1304.05056) Full Text: DOI
Cho, Ilwoo The index semigroup and \(K\)-groups of graph-groupoid \(C^{*}\)-algebras. (English) Zbl 1297.05096 Complex Anal. Oper. Theory 8, No. 1, 57-109 (2014). MSC: 05C20 05C25 20L05 46N50 47N99 68Q12 81P10 81P45 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 8, No. 1, 57--109 (2014; Zbl 1297.05096) Full Text: DOI
Cho, Ilwoo Free distributional data of arithmetic functions and corresponding generating functions determined by gaps between primes. (English) Zbl 1332.46065 Complex Anal. Oper. Theory 8, No. 2, 537-570 (2014). MSC: 46L54 05E15 11R56 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 8, No. 2, 537--570 (2014; Zbl 1332.46065) Full Text: DOI
Cho, Ilwoo Operator algebraic quotient structures induced by direct graphs. II. (English) Zbl 1272.05062 Complex Anal. Oper. Theory 7, No. 4, 695-738 (2013). MSC: 05C20 20L05 47N99 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 7, No. 4, 695--738 (2013; Zbl 1272.05062) Full Text: DOI
Cho, Ilwoo Diagram groupoids and von Neumann algebras. (English) Zbl 1272.05076 Complex Anal. Oper. Theory 6, No. 4, 843-895 (2012). MSC: 05C25 05C20 20L05 47N99 46L10 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 6, No. 4, 843--895 (2012; Zbl 1272.05076) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Mädler, Conrad On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials. (English) Zbl 1298.05016 Complex Anal. Oper. Theory 5, No. 2, 447-511 (2011). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 05A10 05A05 47A57 44A60 42C05 15B10 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Complex Anal. Oper. Theory 5, No. 2, 447--511 (2011; Zbl 1298.05016) Full Text: DOI
Jorgensen, Palle E. T.; Pearse, Erin Peter James A Hilbert space approach to effective resistance metric. (English) Zbl 1209.05144 Complex Anal. Oper. Theory 4, No. 4, 975-1013 (2010). MSC: 05C50 05C75 31C20 46E22 47B25 47B32 60J10 31C35 47B39 82C41 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 4, No. 4, 975--1013 (2010; Zbl 1209.05144) Full Text: DOI arXiv
Hidalgo, Rubén A.; Godoy Molina, Mauricio Navier-Stokes equations on weighted graphs. (English) Zbl 1221.05114 Complex Anal. Oper. Theory 4, No. 3, 525-540 (2010). MSC: 05C12 39A12 35J05 PDFBibTeX XMLCite \textit{R. A. Hidalgo} and \textit{M. Godoy Molina}, Complex Anal. Oper. Theory 4, No. 3, 525--540 (2010; Zbl 1221.05114) Full Text: DOI
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Spectral theory for discrete Laplacians. (English) Zbl 1222.05154 Complex Anal. Oper. Theory 4, No. 1, 1-38 (2010). Reviewer: Bruce A. Watson (Wits) MSC: 05C50 05C63 39A70 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Complex Anal. Oper. Theory 4, No. 1, 1--38 (2010; Zbl 1222.05154) Full Text: DOI arXiv
Cho, Lwoo Operator algebraic quotient structures induced by directed graphs. (English) Zbl 1214.05039 Complex Anal. Oper. Theory 3, No. 3, 661-696 (2009). MSC: 05C20 05C62 05C90 17A50 18B40 46K10 47A67 47A99 47B99 PDFBibTeX XMLCite \textit{L. Cho}, Complex Anal. Oper. Theory 3, No. 3, 661--696 (2009; Zbl 1214.05039) Full Text: DOI
Cho, Ilwoo Measures on graphs and groupoid measures. (English) Zbl 1146.05047 Complex Anal. Oper. Theory 2, No. 1, 1-28 (2008). MSC: 05C99 18B40 28A75 28B99 28C99 47L90 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 2, No. 1, 1--28 (2008; Zbl 1146.05047) Full Text: DOI arXiv
Cho, Ilwoo Characterization of amalgamated free blocks of a graph von Neumann algebra. (English) Zbl 1129.46050 Complex Anal. Oper. Theory 1, No. 3, 367-398 (2007). MSC: 46L10 46L53 20L05 05C20 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 1, No. 3, 367--398 (2007; Zbl 1129.46050) Full Text: DOI