Arhancet, Cédric; Kriegler, Christoph; Le Merdy, Christian; Zadeh, Safoura Separating Fourier and Schur multipliers. (English) Zbl 07823644 J. Fourier Anal. Appl. 30, No. 1, Paper No. 5, 27 p. (2024). MSC: 46L51 43A15 46B04 PDFBibTeX XMLCite \textit{C. Arhancet} et al., J. Fourier Anal. Appl. 30, No. 1, Paper No. 5, 27 p. (2024; Zbl 07823644) Full Text: DOI arXiv
Caspers, Martijn; Vos, Gerrit Erratum to: “BMO spaces of \(\sigma\)-finite von Neumann algebras and Fourier-Schur multipliers on \(\mathrm{SU}_q(2)\)”. (English) Zbl 1518.46042 Stud. Math. 271, No. 2, 237-240 (2023). MSC: 46L52 43A15 46L67 46L51 PDFBibTeX XMLCite \textit{M. Caspers} and \textit{G. Vos}, Stud. Math. 271, No. 2, 237--240 (2023; Zbl 1518.46042) Full Text: DOI
Arhancet, Cédric; Kriegler, Christoph Projections, multipliers and decomposable maps on noncommutative \(L^p\)-spaces. (Projections, multiplicateurs et applications décomposables sur des espaces \(L^p\) noncommutatifs.) (English. French summary) Zbl 07715774 Mém. Soc. Math. Fr., Nouv. Sér. 177, vi, 185 p. (2023). MSC: 46L52 46L51 46L07 43A07 43A15 43A22 43A30 43A35 43A40 47L25 PDFBibTeX XMLCite \textit{C. Arhancet} and \textit{C. Kriegler}, Mém. Soc. Math. Fr., Nouv. Sér. 177, vi, 185 p. (2023; Zbl 07715774) Full Text: DOI arXiv
Vos, Gerrit Transference of multilinear Fourier and Schur multipliers acting on non-commutative \(L_p\)-spaces for non-unimodular groups. arXiv:2308.16595 Preprint, arXiv:2308.16595 [math.FA] (2023). MSC: 22D25 43A15 46L51 BibTeX Cite \textit{G. Vos}, ``Transference of multilinear Fourier and Schur multipliers acting on non-commutative $L_p$-spaces for non-unimodular groups'', Preprint, arXiv:2308.16595 [math.FA] (2023) Full Text: arXiv OA License
Schulz-Baldes, Hermann; Stoiber, Tom Harmonic analysis on operator algebras and its applications to index theory and topological solid state systems. (English) Zbl 1514.46003 Mathematical Physics Studies. Cham: Springer (ISBN 978-3-031-12200-2/hbk; 978-3-031-12203-3/pbk; 978-3-031-12201-9/ebook). xxiv, 206 p. (2022). Reviewer: Takahiro Sudo (Nishihara) MSC: 46-02 47-02 82-02 46L87 46L80 46L60 46L55 46L52 46L51 46L05 43A15 43A22 43A25 43A65 22D10 22D25 22D30 22D35 PDFBibTeX XMLCite \textit{H. Schulz-Baldes} and \textit{T. Stoiber}, Harmonic analysis on operator algebras and its applications to index theory and topological solid state systems. Cham: Springer (2022; Zbl 1514.46003) Full Text: DOI arXiv
Parcet, Javier; Ricard, Éric; de la Salle, Mikael Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\). (English) Zbl 1511.46041 Duke Math. J. 171, No. 6, 1235-1297 (2022). MSC: 46L51 22E46 43A80 42B15 PDFBibTeX XMLCite \textit{J. Parcet} et al., Duke Math. J. 171, No. 6, 1235--1297 (2022; Zbl 1511.46041) Full Text: DOI arXiv
Caspers, Martijn; Vos, Gerrit BMO spaces of \(\sigma \)-finite von Neumann algebras and Fourier-Schur multipliers on \({\mathrm{SU}}_q(2)\). (English) Zbl 1490.46061 Stud. Math. 262, No. 1, 45-91 (2022); erratum ibid. 271, No. 2, 237-240 (2023). MSC: 46L52 43A15 46L67 46L51 PDFBibTeX XMLCite \textit{M. Caspers} and \textit{G. Vos}, Stud. Math. 262, No. 1, 45--91 (2022; Zbl 1490.46061) Full Text: DOI arXiv
Szűcs, Zsolt; Takács, Balázs Finite dimensional irreducible representations and the uniqueness of the Lebesgue decomposition of positive functionals. arXiv:2105.12199 Preprint, arXiv:2105.12199 [math.OA] (2021). MSC: 46K10 46L51 43A20 46L30 22D20 BibTeX Cite \textit{Z. Szűcs} and \textit{B. Takács}, ``Finite dimensional irreducible representations and the uniqueness of the Lebesgue decomposition of positive functionals'', Preprint, arXiv:2105.12199 [math.OA] (2021) Full Text: arXiv OA License
Yan, Cheng The approximation property of generalized Figà-Talamanca-Herz algebras. (English) Zbl 1499.43002 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1330-1338 (2019). MSC: 43A20 46L51 43A99 PDFBibTeX XMLCite \textit{C. Yan}, Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1330--1338 (2019; Zbl 1499.43002) Full Text: DOI
Fidaleo, Francesco Fourier analysis for type III representations of the noncommutative torus. (English) Zbl 1428.43012 J. Fourier Anal. Appl. 25, No. 5, 2801-2835 (2019). Reviewer: Yong Wang (Changchun) MSC: 43A99 46L36 46L51 PDFBibTeX XMLCite \textit{F. Fidaleo}, J. Fourier Anal. Appl. 25, No. 5, 2801--2835 (2019; Zbl 1428.43012) Full Text: DOI arXiv
Xiong, Xiao; Xu, Quanhua; Yin, Zhi Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori. (English) Zbl 1414.46045 Memoirs of the American Mathematical Society 1203. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2806-8/print; 978-1-4704-4375-7/ebook). vi, 122 p. (2018). MSC: 46L52 46L51 46L87 47L25 47L65 43A99 PDFBibTeX XMLCite \textit{X. Xiong} et al., Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1414.46045) Full Text: DOI arXiv
Youn, Sang-Gyun Hardy-Littlewood inequalities on compact quantum groups of Kac type. (English) Zbl 1387.43003 Anal. PDE 11, No. 1, 237-261 (2018). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 43A15 20G42 46L51 46L52 PDFBibTeX XMLCite \textit{S.-G. Youn}, Anal. PDE 11, No. 1, 237--261 (2018; Zbl 1387.43003) Full Text: DOI arXiv
Amini, Massoud; Kalantar, Mehrdad; Medghalchi, Alireza; Mollakhalili, Ahmad; Neufang, Matthias Compact elements and operators of quantum groups. (English) Zbl 1370.46048 Glasg. Math. J. 59, No. 2, 445-462 (2017). Reviewer: Robert Yuncken (Clermont-Ferrand) MSC: 46L89 22D25 46L51 43A22 43A20 PDFBibTeX XMLCite \textit{M. Amini} et al., Glasg. Math. J. 59, No. 2, 445--462 (2017; Zbl 1370.46048) Full Text: DOI
Wang, Simeng \(L_p\)-improving convolution operators on finite quantum groups. (English) Zbl 1402.46051 Indiana Univ. Math. J. 65, No. 5, 1609-1637 (2016). MSC: 46L89 43A22 46L30 46L51 20G42 PDFBibTeX XMLCite \textit{S. Wang}, Indiana Univ. Math. J. 65, No. 5, 1609--1637 (2016; Zbl 1402.46051) Full Text: DOI arXiv Link
Runde, Volker; Viselter, Ami On positive definiteness over locally compact quantum groups. (English) Zbl 1352.22004 Can. J. Math. 68, No. 5, 1067-1095 (2016). Reviewer: Mădălina Buneci (Targu-Jiu) MSC: 22D25 43A35 46L51 46L52 46L89 PDFBibTeX XMLCite \textit{V. Runde} and \textit{A. Viselter}, Can. J. Math. 68, No. 5, 1067--1095 (2016; Zbl 1352.22004) Full Text: DOI arXiv
Szűcs, Zsolt Absolute continuity of positive linear functionals. (English) Zbl 1347.46048 Banach J. Math. Anal. 9, No. 2, 201-247 (2015). Reviewer: Hermann Pfitzner (Orléans) MSC: 46L51 47A67 43A20 46C50 PDFBibTeX XMLCite \textit{Z. Szűcs}, Banach J. Math. Anal. 9, No. 2, 201--247 (2015; Zbl 1347.46048) Full Text: DOI Euclid
Arhancet, Cédric Unconditionality, Fourier multipliers and Schur multipliers. (English) Zbl 1253.43001 Colloq. Math. 127, No. 1, 17-37 (2012). Reviewer: Yu Liu (Beijing) MSC: 43A15 43A22 46L07 46L51 PDFBibTeX XMLCite \textit{C. Arhancet}, Colloq. Math. 127, No. 1, 17--37 (2012; Zbl 1253.43001) Full Text: DOI arXiv
Runde, Volker Characterizations of compact and discrete quantum groups through second duals. (English) Zbl 1164.22001 J. Oper. Theory 60, No. 2, 415-428 (2008). MSC: 22C05 22D35 43A99 46H10 46L51 46L65 46L89 47L50 81R15 81R50 PDFBibTeX XMLCite \textit{V. Runde}, J. Oper. Theory 60, No. 2, 415--428 (2008; Zbl 1164.22001) Full Text: arXiv
Goldstein, Stanisław; Lindsay, J. Martin Markov semigroups KMS-symmetric for a weight. (English) Zbl 0932.46055 Math. Ann. 313, No. 1, 39-67 (1999). Reviewer: Abdugafur Rakhimov (Tashkent) MSC: 46L55 46L51 47D07 43A15 PDFBibTeX XMLCite \textit{S. Goldstein} and \textit{J. M. Lindsay}, Math. Ann. 313, No. 1, 39--67 (1999; Zbl 0932.46055) Full Text: DOI
Jørgensen, Palle E. T. Harmonic analysis of fractal processes via \(C^*\)-algebras. (English) Zbl 0932.46050 Math. Nachr. 200, 77-117 (1999). Reviewer: Kh.N.Boyadzhiev (Ada) MSC: 46L51 46L55 47A67 46K10 47A65 43A65 42C40 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Math. Nachr. 200, 77--117 (1999; Zbl 0932.46050) Full Text: DOI
Popa, Sorin On Connes’ joint distribution trick and a notion of amenability for positive maps. (English) Zbl 1036.46048 Enseign. Math., II. Sér. 44, No. 1-2, 57-70 (1998). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L37 46L51 43A07 PDFBibTeX XMLCite \textit{S. Popa}, Enseign. Math. (2) 44, No. 1--2, 57--70 (1998; Zbl 1036.46048)
Randrianantoanina, Narcisse Hilbert transform associated with finite maximal subdiagonal algebras. (English) Zbl 0946.46052 J. Aust. Math. Soc., Ser. A 65, No. 3, 388-404 (1998). Reviewer: Vladimir V.Peller (Manhattan) MSC: 46L51 46E15 43A15 47L05 PDFBibTeX XMLCite \textit{N. Randrianantoanina}, J. Aust. Math. Soc., Ser. A 65, No. 3, 388--404 (1998; Zbl 0946.46052) Full Text: arXiv
Voiculescu, Dan Operations on certain non-commutative operator-valued random variables. (English) Zbl 0839.46060 Connes, A. (ed.), Recent advances in operator algebras. Collection of talks given in the conference on operator algebras held in Orléans, France in July 1992. Paris: Société Mathématique de France, Astérisque. 232, 243-275 (1995). MSC: 46L51 46L53 46L54 60F99 43A99 PDFBibTeX XMLCite \textit{D. Voiculescu}, in: Recent advances in operator algebras. Collection of talks given in the conference on operator algebras held in Orléans, France in July 1992. Paris: Société Mathématique de France. 243--275 (1995; Zbl 0839.46060)
Montgomery-Smith, S. J. The distribution of non-commutative Rademacher series. (English) Zbl 0826.60038 Math. Ann. 302, No. 3, 395-416 (1995). Reviewer: S.J.Montgomery-Smith (Columbia) MSC: 60G50 43A46 46E30 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{S. J. Montgomery-Smith}, Math. Ann. 302, No. 3, 395--416 (1995; Zbl 0826.60038) Full Text: DOI arXiv EuDML
Chryssomalakos, Chryssomalis; Zumino, Bruno Integrals and Fourier transforms in quantum plane. (English) Zbl 0844.46040 Keller, Jaime (ed.) et al., Proceedings of the XXIIth international conference on differential geometric methods in theoretical physics, Ixtapa-Zihuatanejo, México, September 20-24, 1993. México: Universidad Nacional Autónoma de México. 135-144 (1994). MSC: 46L87 43A30 46L51 46L53 46L54 81R50 PDFBibTeX XMLCite \textit{C. Chryssomalakos} and \textit{B. Zumino}, in: Proceedings of the XXIIth international conference on differential geometric methods in theoretical physics, Ixtapa-Zihuatanejo, México, September 20-24, 1993. México: Universidad Nacional Autónoma de México. 135--144 (1994; Zbl 0844.46040)
Jørgensen, Palle E. T.; Pedersen, Steen Harmonic analysis and fractal limit-measures induced by representations of a certain \(C^*\)-algebra. (English) Zbl 0829.43022 J. Funct. Anal. 125, No. 1, 90-110 (1994). Reviewer: Diep Do Ngoc (Hanoi) MSC: 43A99 46L51 46L53 46L54 28A80 28A75 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, J. Funct. Anal. 125, No. 1, 90--110 (1994; Zbl 0829.43022) Full Text: DOI
Bożejko, Marek; Speicher, Roland Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces. (English) Zbl 0819.20043 Math. Ann. 300, No. 1, 97-120 (1994). Reviewer: Ph.Biane (Paris) MSC: 20F55 81S05 43A35 46L51 46L53 46L54 20C30 PDFBibTeX XMLCite \textit{M. Bożejko} and \textit{R. Speicher}, Math. Ann. 300, No. 1, 97--120 (1994; Zbl 0819.20043) Full Text: DOI arXiv EuDML
Kholevo, A. S. An analog of the Itô decomposition for multiplicative processes with values in a Lie group. (English) Zbl 0781.60060 Quantum probability and applications V, Proc. 4th Workshop, Heidelberg/ FRG 1988, Lect. Notes Math. 1442, 211-215 (1990). MSC: 60J99 43A05 60B15 81S25 60H05 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{A. S. Kholevo}, Lect. Notes Math. None, 211--215 (1990; Zbl 0781.60060)
Exel, Ruy C\({}^*\)-algebras and harmonic analysis. (English) Zbl 0707.46040 Publ. Math. Orsay 89-02, No. 1, 7 p. (1989). MSC: 46L05 43A99 46L51 46L53 46L54 PDFBibTeX XML
Kajiwara, Tsuyoshi Fourier inversion formula for discrete nilpotent groups. (English) Zbl 0698.46055 J. Aust. Math. Soc., Ser. A 46, No. 3, 415-422 (1989). Reviewer: V.Panchapagesan Thiruyaiyaru MSC: 46L51 46L53 46L54 46L55 43A30 PDFBibTeX XMLCite \textit{T. Kajiwara}, J. Aust. Math. Soc., Ser. A 46, No. 3, 415--422 (1989; Zbl 0698.46055)
Robinson, Derek W. The differential and integral structure of representations of Lie groups. (English) Zbl 0665.22005 J. Oper. Theory 19, No. 1, 95-128 (1988). Reviewer: C.Bruma MSC: 22E45 46L51 46L53 46L54 47D03 43A80 46B15 47B44 PDFBibTeX XMLCite \textit{D. W. Robinson}, J. Oper. Theory 19, No. 1, 95--128 (1988; Zbl 0665.22005)
Wulfsohn, Aubrey Factorisation of characteristic functions on non-commutative groups. (English) Zbl 0479.46046 Proc. Am. Math. Soc. 86, 287-298 (1982). MSC: 46L51 46L53 46L54 43A30 22C05 PDFBibTeX XMLCite \textit{A. Wulfsohn}, Proc. Am. Math. Soc. 86, 287--298 (1982; Zbl 0479.46046) Full Text: DOI
De Canniere, Jean; Enock, Michel; Schwartz, Jean-Marie Sur deux résultats d’analyse harmonique non-commutative: Une application de la théorie des algèbres de Kac. (French) Zbl 0486.22003 J. Oper. Theory 5, 171-194 (1981). MSC: 22D15 43A20 22E35 46L51 46L53 46L54 46L10 43A40 22D25 PDFBibTeX XMLCite \textit{J. De Canniere} et al., J. Oper. Theory 5, 171--194 (1981; Zbl 0486.22003)
Enock, Michel; Schwartz, Jean-Marie Actions d’une algebre de Kac sur une algebre de von Neumann et representations. (German) Zbl 0453.46052 C. R. Acad. Sci., Paris, Sér. A 291, 631-633 (1980). MSC: 46L51 46L53 46L54 46L55 46L10 43A40 22D25 PDFBibTeX XMLCite \textit{M. Enock} and \textit{J.-M. Schwartz}, C. R. Acad. Sci., Paris, Sér. A 291, 631--633 (1980; Zbl 0453.46052)
Voiculescu, Dan Amenability and Katz algebras. (English) Zbl 0503.46049 Algebres d’operateurs et leurs applications en physique mathematique, Colloq. int. CNRS No. 274, Marseille 1977, 451-457 (1979). MSC: 46L99 46L51 46L53 46L54 22D25 43A10 46L10 PDFBibTeX XML
De Canniere, Jean An illustration of the non-commutative duality theory for locally compact groups. (English) Zbl 0442.46047 Bull. Soc. Math. Belg., Sér. B 31, 57-66 (1979). MSC: 46L51 46L53 46L54 46L10 22D25 22D35 43A40 PDFBibTeX XMLCite \textit{J. De Canniere}, Bull. Soc. Math. Belg., Sér. B 31, 57--66 (1979; Zbl 0442.46047)
De Canniere, Jean Produit croisé d’une algèbre de Kac par un groupe localement compact. (French) Zbl 0426.46043 Bull. Soc. Math. Fr. 107, 337-372 (1979). MSC: 46L51 46L53 46L54 46L99 43A40 22D25 22D35 PDFBibTeX XMLCite \textit{J. De Canniere}, Bull. Soc. Math. Fr. 107, 337--372 (1979; Zbl 0426.46043) Full Text: DOI Numdam EuDML