19 citations · 45 across the 26 of their papers we have counts for
30 papers
Reduction of Symmetry in Quaternionic Analysis and Invariant Trilinear Forms
Igor Frenkel, Matvei Libine
In our previous papers we repeatedly emphasized the special role in Quaternionic Analysis of the conformal group SU(2,2) and other real forms of its complexification SL(4,C). In pa…
Conformal Invariance of Clifford Monogenic Functions in the Indefinite Signature Case
Chen Liang, Matvei Libine
We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. Clifford analogues of complex holomorphic functions - called monoge…
Quasi Regular Functions in Quaternionic Analysis
Igor Frenkel, Matvei Libine
We study a new class of functions that arise naturally in quaternionic analysis, we call them "quasi regular functions". Like the well-known quaternionic regular functions, these f…
n-Regular Functions in Quaternionic Analysis
Igor Frenkel, Matvei Libine
In this paper we study left and right n-regular functions that originally were introduced in [FL4]. When n=1, these functions are the usual quaternionic left and right regular func…
Clifford Analysis with Indefinite Signature
Matvei Libine, Ely Sandine
We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. We define (p,q)-left- and right-monogenic functions by means of Dir…
Magic Identities for the Conformal Four-Point Integrals; the Minkowski Metric Case
Matvei Libine
The original "magic identities" are due to J.M.Drummond, J.Henn, V.A.Smirnov and E.Sokatchev; they assert that all n-loop box integrals for four scalar massless particles are equal…