Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Maria Elena Luna-Elizarrarás"'
Publikováno v:
Milan Journal of Mathematics. 88:247-261
Let $$\mathbb{D}$$ be the two-dimensional real algebra generated by 1 and by a hyperbolic unit k such that $$k^{2} = 1$$. This algebra is often referred to as the algebra of hyperbolic numbers. A function $$f : \mathbb{D} \rightarrow \mathbb{D}$$ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::924e9475b354f838c0efae4056f4dba1
https://doi.org/10.1007/s00032-020-00313-8
https://doi.org/10.1007/s00032-020-00313-8
Publikováno v:
Complex Variables and Elliptic Equations. 62:1266-1286
We consider the notion of the Laurent series for the theory of bicomplex holomorphic functions. Some basic properties of it are established. A special attention is paid to a detailed description of the sets of convergence and divergence of such serie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33635cae9c973b120e079430319e08aa
https://doi.org/10.1080/17476933.2016.1250404
https://doi.org/10.1080/17476933.2016.1250404
Publikováno v:
Quarterly of Applied Mathematics. 74:165-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1745a04b78c80cb9039d23a6a25fa843
https://doi.org/10.1090/qam/1412
https://doi.org/10.1090/qam/1412
Publikováno v:
Complex Analysis and Operator Theory. 10:327-352
We prove that a bicomplex linear functional acting on a bicomplex Banach algebra (with a hyperbolic-valued norm) in such a way that invertible elements are transformed into invertible bicomplex numbers is, in fact, a multiplicative functional and thu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55031c1775732be669faa18f3e7ce3b0
https://doi.org/10.1007/s11785-015-0455-x
https://doi.org/10.1007/s11785-015-0455-x
Publikováno v:
Advances in Applied Clifford Algebras. 24:1105-1129
We consider modules over the commutative rings of hyperbolic and bicomplex numbers. In both cases they are endowed with norms which take values in non–negative hyperbolic numbers. The exact analogues of the classical versions of the Hahn–Banach t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40794c03925e12cb909472ca422ec6c5
https://doi.org/10.1007/s00006-014-0503-z
https://doi.org/10.1007/s00006-014-0503-z
Publikováno v:
Advances in Geometry. 14:413-426
In the classical theory of several complex variables, holomorphic mappings are just n-tuples of holomorphic functions in m variables, with arbitrary n andm, and no relations between these functions are assumed. Some 30 years ago John Ryan introduced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f510c01ad4738e39b96eae0d996b5620
https://doi.org/10.1515/advgeom-2014-0003
https://doi.org/10.1515/advgeom-2014-0003
Publikováno v:
Complex Analysis and Operator Theory. 7:1675-1711
In this paper we study in detail the theory of bicomplex holomorphy, in the context of the several ways in which bicomplex numbers can be considered. In particular we will show how the notions of bicomplex derivability and bicomplex holomorphy can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::985d63aab941f2a5511a3e25d544268f
https://doi.org/10.1007/s11785-013-0284-8
https://doi.org/10.1007/s11785-013-0284-8
Autor:
Michael Shapiro, Maria Elena Luna-Elizarrarás, Marco Antonio Pérez-de la Rosa, Ramón M. Rodríguez-Dagnino
Publikováno v:
Mathematical Methods in the Applied Sciences. 36:1080-1094
It has been found recently that there exists a theory of functions with quaternionic values and in two real variables, which is determined by a Cauchy–Riemann-type operator with quaternionic variable coefficients, and that is intimately related to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cbc279bdc6a11d99fef481cf7f265dc
https://doi.org/10.1002/mma.2665
https://doi.org/10.1002/mma.2665
Publikováno v:
Complex Variables and Elliptic Equations. 57:743-749
Given a Jordan domain of ℂ2, we consider the -problem and establish a necessary and sufficient condition for its solvability in terms of the existence of hyper-conjugate harmonic functions, a notion coming from quaternionic analysis. Besides, whene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48eb6adf8d88aeac235d545b7ab67d5d
https://doi.org/10.1080/17476933.2011.598933
https://doi.org/10.1080/17476933.2011.598933
Autor:
Michael Shapiro, Daniele C. Struppa, Irene Sabadini, Fabrizio Colombo, Maria Elena Luna-Elizarrarás
Publikováno v:
Advances in Geometry. 12:191-201
In this paper we develop and extend some techniques introduced in [1] to find integral conditions for the vanishing of the cohomology of open bounded sets in C with values in the sheaf of holomorphic functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2b3e8fdc8c7c17f20f457c1c4c705c8
https://doi.org/10.1515/advgeom.2011.053
https://doi.org/10.1515/advgeom.2011.053