Moody, R. V.; Motlochová, L.; Patera, J. Gaussian cubature arising from hybrid characters of simple Lie groups. (English) Zbl 1317.65070 J. Fourier Anal. Appl. 20, No. 6, 1257-1290 (2014). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 33C52 22E46 43A80 41A55 41A63 PDFBibTeX XMLCite \textit{R. V. Moody} et al., J. Fourier Anal. Appl. 20, No. 6, 1257--1290 (2014; Zbl 1317.65070) Full Text: DOI arXiv
Hrivnák, Jiří; Motlochová, Lenka; Patera, Jiří On discretization of tori of compact simple Lie groups. II. (English) Zbl 1247.65178 J. Phys. A, Math. Theor. 45, No. 25, Article ID 255201, 18 p. (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 43A32 43A80 22E46 PDFBibTeX XMLCite \textit{J. Hrivnák} et al., J. Phys. A, Math. Theor. 45, No. 25, Article ID 255201, 18 p. (2012; Zbl 1247.65178) Full Text: DOI arXiv
Hrivnák, Jiří; Kashuba, Iryna; Patera, Jiří On \(E\)-functions of semisimple Lie groups. (English) Zbl 1231.22016 J. Phys. A, Math. Theor. 44, No. 32, 20 p. (2011). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 22E46 22E30 43A80 PDFBibTeX XMLCite \textit{J. Hrivnák} et al., J. Phys. A, Math. Theor. 44, No. 32, 20 p. (2011; Zbl 1231.22016) Full Text: DOI arXiv
Hrivnák, Jiří; Patera, Jiří On discretization of tori of compact simple Lie groups. (English) Zbl 1181.65152 J. Phys. A, Math. Theor. 42, No. 38, Article ID 385208, 26 p. (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 43A32 43A80 22E46 PDFBibTeX XMLCite \textit{J. Hrivnák} and \textit{J. Patera}, J. Phys. A, Math. Theor. 42, No. 38, Article ID 385208, 26 p. (2009; Zbl 1181.65152) Full Text: DOI arXiv
Moody, R. V.; Nesterenko, M.; Patera, J. Computing with almost periodic functions. (English) Zbl 1370.43003 Acta Crystallogr., Sect. A 64, No. 6, 654-669 (2008). MSC: 43A60 82D25 PDFBibTeX XMLCite \textit{R. V. Moody} et al., Acta Crystallogr., Sect. A 64, No. 6, 654--669 (2008; Zbl 1370.43003) Full Text: DOI arXiv
Klimyk, A. U.; Patera, J. (Anti)symmetric multivariate exponential functions and corresponding Fourier transforms. (English) Zbl 1139.42001 J. Phys. A, Math. Theor. 40, No. 34, 10473-10489 (2007). Reviewer: Youssef Ben Cheikh (Monastir) MSC: 42B05 42B10 05E10 42C10 43A32 PDFBibTeX XMLCite \textit{A. U. Klimyk} and \textit{J. Patera}, J. Phys. A, Math. Theor. 40, No. 34, 10473--10489 (2007; Zbl 1139.42001) Full Text: DOI arXiv
Patera, J.; Zaratsyan, A. Discrete and continuous sine transform generalized to semisimple Lie groups of rank two. (English) Zbl 1111.22012 J. Math. Phys. 47, No. 4, 043512, 22 p. (2006). MSC: 22E45 43A80 PDFBibTeX XMLCite \textit{J. Patera} and \textit{A. Zaratsyan}, J. Math. Phys. 47, No. 4, 043512, 22 p. (2006; Zbl 1111.22012) Full Text: DOI
Patera, J.; Zaratsyan, A. Discrete and continuous cosine transform generalized to Lie groups SU(3) and \(G(2)\). (English) Zbl 1111.43002 J. Math. Phys. 46, No. 11, 113506, 17 p. (2005). MSC: 43A32 94A08 65T50 65T40 22E46 PDFBibTeX XMLCite \textit{J. Patera} and \textit{A. Zaratsyan}, J. Math. Phys. 46, No. 11, 113506, 17 p. (2005; Zbl 1111.43002) Full Text: DOI
Patera, J.; Zaratsyan, A. Discrete and continuous cosine transform generalized to Lie groups \(su(2)\times su(2)\) and \(o(5)\). (English) Zbl 1110.22008 J. Math. Phys. 46, No. 5, 053514, 25 p. (2005). MSC: 22E46 43A80 PDFBibTeX XMLCite \textit{J. Patera} and \textit{A. Zaratsyan}, J. Math. Phys. 46, No. 5, 053514, 25 p. (2005; Zbl 1110.22008) Full Text: DOI
Patera, Jiri Compact simple Lie groups and their \(C\)-, \(S\)-, and \(E\)-transforms. (English) Zbl 1091.43002 SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 025, 6 p. (2005). Reviewer: Ilka Agricola (Berlin) MSC: 43A32 22E46 33C80 94A08 PDFBibTeX XMLCite \textit{J. Patera}, SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 025, 6 p. (2005; Zbl 1091.43002) Full Text: DOI arXiv EuDML EMIS
Atoyan, A. M.; Patera, J. Continuous extension of the discrete cosine transform, and its applications to data processing. (English) Zbl 1080.65129 Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26–31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 1-15 (2005). MSC: 65T50 94A08 43A80 65T40 PDFBibTeX XMLCite \textit{A. M. Atoyan} and \textit{J. Patera}, in: Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montréal, Canada, May 26--31, 2003. Providence, RI: American Mathematical Society (AMS). 1--15 (2005; Zbl 1080.65129)
Grimm, S.; Lemire, F.; Patera, J. Discrete group transforms on \(\text{SU}(2)\times\text{SU}(2)\) and SU(3). (English) Zbl 1165.43301 Resen. Inst. Mat. Estat. Univ. São Paulo 6, No. 2-3, 199-214 (2004). MSC: 43A75 22E30 PDFBibTeX XMLCite \textit{S. Grimm} et al., Resen. Inst. Mat. Estat. Univ. São Paulo 6, No. 2--3, 199--214 (2004; Zbl 1165.43301)
Atoyan, A.; Patera, J. Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization. (English) Zbl 1071.94002 J. Math. Phys. 45, No. 6, 2468-2491 (2004). MSC: 94A12 43A80 65T50 PDFBibTeX XMLCite \textit{A. Atoyan} and \textit{J. Patera}, J. Math. Phys. 45, No. 6, 2468--2491 (2004; Zbl 1071.94002) Full Text: DOI arXiv
Moody, R. V.; Patera, J. Dynamical generation of quasicrystals. (English) Zbl 0847.52023 Lett. Math. Phys. 36, No. 3, 291-300 (1996). Reviewer: M.Baake (Tübingen) MSC: 52C22 82D25 43A40 PDFBibTeX XMLCite \textit{R. V. Moody} and \textit{J. Patera}, Lett. Math. Phys. 36, No. 3, 291--300 (1996; Zbl 0847.52023) Full Text: DOI
Kramer, P. (ed.); Rieckers, A. (ed.) [Rittenberg, V.; Ferrara, S.; Kostant, Bertram; Kerber, A.; Primas, H.; Frei, H.; Günthard, H.; Sternberg, S.; Rowe, D. J.; Rosensteel, G.; Grossmann, A.; Kramer, P.; Birman, J. L.; Emch, G. G.; Michel, L.; Dürr, H. P.; van Leeuwen, J. M. J.; O’Raifeartaigh, L.; Albeverio, S.; Høegh-Krohn, Raphael; Backhouse, N.; Hoogland, H.; Patera, J.; Winternitz, P.; Zassenhaus, Hans; van den Broec, P. M.; Jaric, M. V.; Hughes, J. W. B.; King, R. C.; Qubanchi, A. H. A.] Group theoretical methods in physics. Sixth international colloquium, Tübingen 1977. (English) Zbl 0385.20001 Lecture Notes in Physics. 79. Berlin-Heidelberg-New York: Springer- Verlag. XVIII, 546 p. DM 47.00; $ 23.50 (1978). MSC: 20-06 81-02 81-06 81Txx 81T60 81V35 81S99 81P99 81V55 81R10 81Q10 17B70 17A70 17B10 53C15 53D50 43A65 20C35 22E50 81V70 82B26 82D25 46L60 35Q99 20H15 20G05 81V10 PDFBibTeX XML