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1
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84889234735
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Compact simple Lie groups and their C-, S-, and E-transforms
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Paper 025, math-ph/0512029
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Patera J., Compact simple Lie groups and their C-, S-, and E-transforms, SIGMA, 2005, V.1, Paper 025, 6 pages, math-ph/0512029.
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SIGMA
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Patera, J.1
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28844457098
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Orbit functions of compact semisimple Lie groups as special functions, in Proceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics"
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(June 23-29, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko, Kyiv, Part 3
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Patera J., Orbit functions of compact semisimple Lie groups as special functions, in Proceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics" (June 23-29, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko, Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Part 3, 1152-1160.
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Patera, J.1
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84966232410
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Computation of character decompositions of class functions on compact semisimple Lie groups
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Characters of elements of finite order in simple Lie groups
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Moody R.V., Patera J., Characters of elements of finite order in simple Lie groups, SIAM J. Algebraic Discrete Methods, 1984, V.5, 359-383.
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Moody, R.V.1
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2942659240
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Elements of finite order in Lie groups and their applications
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Moody R.V., Patera J., Elements of finite order in Lie groups and their applications, in Proceedings XIIIInternational Colloquium on Group Theoretical Methods in Physics (College Park, 1984), Editor W. Zachary, Singapore, World Scientific Publishers, 1984, 308-318.
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Moody, R.V.1
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6
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0003639116
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Affine Lie algebras, weight multiplicities, and branching rules
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Berkeley, University of California Press
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Kass, S.1
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7
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2942637493
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Tables of E8 characters and decomposition of plethysms
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McKay W.G., Moody R.V., Patera J., Tables of E8 characters and decomposition of plethysms, in Lie Algebras and Related Topics, Editors D.J. Britten, F.W. Lemire and R.V. Moody, Providence, RI, Amer. Math. Society, 1985, 227-264.
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8
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2942665633
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Grimm, S.1
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9
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28844479647
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Discrete and continuous cosine transform generalized to the Lie groups SU(3) and G(2)
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Patera J., Zaratsyan A., Discrete and continuous cosine transform generalized to the Lie groups SU(3) and G(2), J. Math. Phys., 2005, V.46, 113506, 17 pages.
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10
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28844479647
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Discrete and continuous cosine transform generalized to the Lie groups SU(2) ×SU(2) and O(5)
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Patera J., Zaratsyan A., Discrete and continuous cosine transform generalized to the Lie groups SU(2) ×SU(2) and O(5), J. Math. Phys., 2005, V.46, 053514, 25 pages.
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11
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33646425582
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Discrete and continuous sine transform generalized to semisimple Lie groups ofrank two
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Patera J., Zaratsyan A., Discrete and continuous sine transform generalized to semisimple Lie groups ofrank two, J. Math. Phys., 2006, V.47, 043512, 22 pages.
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84889236313
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Orbit functions
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Paper 006, math-ph/0601037
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Klimyk A., Patera J., Orbit functions, SIGMA, 2006, V.2, Paper 006, 60 pages, math-ph/0601037.
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Klimyk, A.1
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14
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Antisymmetric orbit functions
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to appear
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Klimyk A., Patera J., Antisymmetric orbit functions, SIGMA, 2007, V.3, to appear.
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15
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33750806384
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Continuous extension of the discrete cosine transform, and its applications to dataprocessing, in Group Theory and Numerical Analysis
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Atoyan A., Patera J., Continuous extension of the discrete cosine transform, and its applications to dataprocessing, in Group Theory and Numerical Analysis, CRM Proc. Lecture Notes, Vol. 39, Providence, RI, Amer. Math. Soc., 2005, 1-15.
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16
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2942672829
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Properties of continuous Fourier extension of the discrete cosine transform and itsmultidimensional generalization
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math-ph/0309039
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Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and itsmultidimensional generalization, J. Math. Phys., 2004, V.45, 2468-2491, math-ph/0309039.
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17
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12944265097
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Fourier transform method for imaging atmospheric Cherenkov telescopes
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astro-ph/0409388
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Atoyan A., Patera J., Sahakian V., Akhperjanian A., Fourier transform method for imaging atmospheric Cherenkov telescopes, Astroparticle Phys., 2005, V.23, 79-95, astro-ph/0409388.
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18
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33645673705
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New class of interpolation methods based on discretized Lie grouptransforms
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SPIE Electronic Imaging
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19
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33645698806
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Multiresolution analysis of digital images using the continuous extensionof discrete group transforms
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SPIE Electronic Imaging
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20
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Cosine transform generalized to Lie groups SU(2) × SU(2), O(5), and SU(2) × SU(2) × SU(2): Application to digital image processing
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Germain M., Patera J., Allard Y., Cosine transform generalized to Lie groups SU(2) × SU(2), O(5), and SU(2) × SU(2) × SU(2): application to digital image processing, Proc. SPIE, 2006, V.6065, 387-395.
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