40 Publications (Page 1 of 2)
2021
Clifford Analysis with Indefinite Signature
Complex Analysis and Operator Theory. | Journal Article
n-Regular Functions in Quaternionic AnalysisFrenkel, Igor and Libine, MatveiInternational Journal of Mathematics.
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2020
Magic identities for the conformal four-point integrals; the Minkowski metric caseLibine, MatveiJournal of Functional Analysis, vol. 278, (no. 5), pp. 108388, 2020-03-15.
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n-Regular Functions in Quaternionic AnalysisFrenkel, Igor and Libine, MatveiInternational Journal of Mathematics.
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2019
Magic Identities for the Conformal Four-Point Integrals; the Minkowski Metric CaseLibine, Matvei2019-11-08.
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Quaternionic Analysis, Representation Theory and Physics IIFrenkel, Igor and Libine, Matvei2019-07-02.
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2016
The conformal four-point integrals, magic identities and representations of U(2,2)Libine, MatveiAdvances in Mathematics, vol. 301, pp. 321, 2016-10-01.
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2015
Anti De Sitter Deformation of Quaternionic Analysis and the Second-Order PoleFrenkel, Igor and Libine, MatveiInternational Mathematics Research Notices, vol. 2015, (no. 13), pp. 4900, 2015-00-00.
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Geometric properties of conformal transformations on R p , qLibine, Matvei and Raghavendran, SuryaGeometriae Dedicata, vol. 178, (no. 1), pp. 323, 20151001.
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The second order pole over split quaternionsLibine, MatveiJournal of Physics: Conference Series, vol. 597, pp. 12056, 2015-04-13.
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2014
Anti De Sitter Deformation of Quaternionic Analysis and the Second Order PoleFrenkel, Igor and Libine, Matvei2014-04-28.
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The Conformal Four-Point Integrals, Magic Identities and Representations of U(2,2)Libine, Matvei2014-07-09.
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2013
The Two-Loop Ladder Diagram and Representations of U(2,2)Libine, Matvei2013-09-22.
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2012
Introduction to Representations of Real Semisimple Lie GroupsLibine, Matvei2012-12-11.
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On a Quaternionic Analogue of the Cross-RatioGwynne, Ewain and Libine, MatveiAdvances in Applied Clifford Algebras, vol. 22, (no. 4), pp. 1053, 20121200.
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Quaternionic Analysis and the Schrödinger Model for the Minimal Representation of O(3,3)Frenke, Igor and Libine, MatveiInternational Mathematics Research Notices, vol. 2012, (no. 21), pp. 4923, 2012-00-00.
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2011
On a Quaternionic Analogue of the Cross-RatioGwynne, Ewain and Libine, Matvei2011-12-02.
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Quaternionic Analysis and the Schrodinger Model for the Minimal Representation of O(3,3)Frenkel, Igor and Libine, Matvei2011-10-10.
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Split quaternionic analysis and separation of the series for SL / SL ( 2 , R )Frenkel, Igor and Libine, MatveiAdvances in Mathematics, vol. 228, (no. 2), pp. 678, 20111001.
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2010
An Invitation to Split Quaternionic AnalysisLibine, Matvei2010-09-13.
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Integrals of equivariant forms over noncompact symplectic manifoldsLibine, Matvei2010-09-01.
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Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R)Frenkel, Igor and Libine, Matvei2010-09-13.
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2008
Integrals of equivariant forms and a Gauss–Bonnet theorem for constructible sheavesLibine, MatveiTopology, vol. 47, (no. 1), pp. 39, 2008.
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Quaternionic analysis, representation theory and physicsFrenkel, Igor and Libine, MatveiAdvances in Mathematics, vol. 218, (no. 6), pp. 1877, 2008.
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2007
Hyperbolic Cauchy Integral Formula for the Split Complex NumbersLibine, Matvei2007-12-03.
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