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Elena Luna-Elizarraras
Elena Luna-Elizarraras
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Title
Cited by
Cited by
Year
Bicomplex holomorphic functions: the algebra, geometry and analysis of bicomplex numbers
ME Luna-Elizarrarás, M Shapiro, DC Struppa, A Vajiac
Birkhäuser, 2015
2092015
Bicomplex numbers and their elementary functions
ME Luna-Elizarraras, M Shapiro, DC Struppa, A Vajiac
Cubo (Temuco) 14 (2), 61-80, 2012
1612012
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
1592014
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
502013
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
472014
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
372013
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
362011
Cantor-type sets in hyperbolic numbers
AS Balankin, J Bory-Reyes, ME Luna-Elizarrarás, M Shapiro
Fractals 24 (04), 1650051, 2016
252016
On the Laurent series for bicomplex holomorphic functions
ME Luna-Elizarrarás, CO Pérez-Regalado, M Shapiro
Complex variables and elliptic equations 62 (9), 1266-1286, 2017
222017
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
222017
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
182016
On Clifford analysis for holomorphic mappings
ME Luna-Elizarraras, M Shapiro, DC Struppa
Advances in Geometry 14 (3), 413-426, 2014
162014
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
162013
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
152018
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
142005
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
132013
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
132009
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
122012
On modules over bicomplex and hyperbolic numbers
ME Luna-Elizarraras, M Shapiro
Applied Complex and Quaternionic Approximation, editors: RK Kovacheva, J …, 2009
112009
A quaternionic treatment of the inhomogeneous - system
F Colombo, ME Luna-Elizarraras, I Sabadini, MV Shapiro, DC Struppa
Moscow Mathematical Journal 12 (1), 37-48, 2012
102012
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