Bicomplex holomorphic functions: the algebra, geometry and analysis of bicomplex numbers ME Luna-Elizarrarás, M Shapiro, DC Struppa, A Vajiac Birkhäuser, 2015 | 231 | 2015 |
Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis D Alpay, ME Luna-Elizarrarás, M Shapiro, DC Struppa Springer Science & Business Media, 2014 | 184 | 2014 |
Bicomplex numbers and their elementary functions ME Luna-Elizarraras, M Shapiro, DC Struppa, A Vajiac Cubo (Temuco) 14 (2), 61-80, 2012 | 174 | 2012 |
On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules ME Luna-Elizarraras, CO Perez-Regalado, M Shapiro Advances in Applied Clifford Algebras 24, 1105-1129, 2014 | 54 | 2014 |
On two approaches to the Bergman theory for slice regular functions F Colombo, JO González-Cervantes, ME Luna-Elizarrarás, I Sabadini, ... Advances in hypercomplex analysis, 39-54, 2013 | 51 | 2013 |
Complex Laplacian and derivatives of bicomplex functions ME Luna-Elizarraras, M Shapiro, DC Struppa, A Vajiac Complex Analysis and Operator Theory 7 (5), 1675-1711, 2013 | 40 | 2013 |
A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis ME Luna-Elizarraras, M Shapiro Milan Journal of Mathematics 79 (2), 521-542, 2011 | 35 | 2011 |
Cantor-type sets in hyperbolic numbers AS Balankin, J Bory-Reyes, ME Luna-Elizarrarás, M Shapiro Fractals 24 (04), 1650051, 2016 | 26 | 2016 |
Kolmogorov’s axioms for probabilities with values in hyperbolic numbers D Alpay, ME Luna-Elizarrarás, M Shapiro Advances in Applied Clifford Algebras 27, 913-929, 2017 | 25 | 2017 |
On the Laurent series for bicomplex holomorphic functions ME Luna-Elizarrarás, CO Perez-Regalado, M Shapiro Complex variables and elliptic equations 62 (9), 1266-1286, 2017 | 24 | 2017 |
Gleason’s problem, rational functions and spaces of left-regular functions: the split-quaternion setting D Alpay, ME Luna-Elizarrarás, M Shapiro, D Struppa Israel Journal of Mathematics 226, 319-349, 2018 | 20 | 2018 |
On the Bicomplex Gleason–Kahane–Żelazko Theorem ME Luna-Elizarraras, CO Perez-Regalado, M Shapiro Complex Analysis and Operator Theory 10 (2), 327-352, 2016 | 18 | 2016 |
On Clifford analysis for holomorphic mappings ME Luna-Elizarraras, M Shapiro, DC Struppa Advances in Geometry 14 (3), 413-426, 2014 | 18 | 2014 |
On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions ME Luna‐Elizarrarás, MAP Rosa, RM Rodríguez‐Dagnino, M Shapiro Mathematical Methods in the Applied Sciences 36 (9), 1080-1094, 2013 | 16 | 2013 |
On some categories and functors in the theory of quaternionic Bergman spaces JO Gonzalez-Cervantes, ME Luna-Elizarraras, M Shapiro Advances in applied Clifford algebras 19 (2), 325-338, 2009 | 14 | 2009 |
Preservation of the norms of linear operators acting on some quaternionic function spaces M Elena Luna-Elizarrarás, M Shapiro Operator Theory, Systems Theory and Scattering Theory: Multidimensional …, 2005 | 14 | 2005 |
Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis D Alpay, ME Luna-Elizarrarás, M Shapiro, DC Struppa arXiv preprint arXiv:1304.0781, 2013 | 13 | 2013 |
Complexifications of real spaces: general aspects ME Luna-Elizarrarás, F Ramírez-Reyes, M Shapiro Walter de Gruyter GmbH & Co. KG 19 (2), 259-282, 2012 | 13 | 2012 |
Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers ME Luna-Elizarrarás, M Shapiro, A Balankin Analysis and Mathematical Physics 10, 1-30, 2020 | 11 | 2020 |
On modules over bicomplex and hyperbolic numbers ME Luna-Elizarraras, M Shapiro Applied Complex and Quaternionic Approximation, editors: RK Kovacheva, J …, 2009 | 11 | 2009 |