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作者:Irene Sabadini , Franciscus Sommen , Daniele C. Struppa
来源:[J].Advances in Applied Clifford Algebras(IF 0.584), 2014, Vol.24 (4), pp.1131-1143Springer
摘要:Abstract(#br)We describe the relationship between Sato’s hyperfunctions and other theories of boundary values. In particular we show how monogenic functions can be used to represent classical hyperfunctions.
作者:Daniel Alpay , Ismael L. Paiva , Daniele C. Struppa
来源:[J].Integral Equations and Operator Theory(IF 0.713), 2019, Vol.91 (2), pp.1-39Springer
摘要:Abstract(#br)We begin a study of Schur analysis in the setting of the Grassmann algebra when the latter is completed with respect to the 1-norm. We focus on the rational case. We start with a theorem on invertibility in the completed algebra, and define a notion of positivity in ...
作者:Domenico Napoletani , Daniele C. Struppa
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2016, Vol.436 (2), pp.1074-1081Elsevier
摘要:Abstract(#br)We prove that the existence of isolated solutions of systems of equations of analytical functions on compact real domains in R p , is equivalent to the convergence of the phase of a suitable complex valued integral I ( h ) for h → ∞ . As an application, we then ...
作者:Fabrizio Colombo , Irene Sabadini , Daniele C. Struppa
来源:[J].Advances in Applied Clifford Algebras(IF 0.584), 2009, Vol.19 (2), pp.225-236Springer
摘要:Abstract.(#br)We employ the notion of slice monogenic functions to define a new functional calculus for an n -tuple of not necessarily commuting operators. This calculus is consistent with the Riesz-Dunford calculus for a single operator.
作者:Irene Sabadini , Daniele C. Struppa
来源:[J].Advances in Applied Clifford Algebras(IF 0.584), 2001, Vol.11 (1), pp.147-158Springer
摘要:Abstract(#br)In this paper we introduce the notion of quaternionic Weyl algebra A 1 (ℍ) and we study its main properties. We give some examples of A 1 (ℍ)-modules useful in the resolution of systems of differential equations whose linear differential operators are in A ...
作者:Daniele C. Struppa
来源:[J].Complex Variables and Elliptic Equations(IF 0.5), 2012, Vol.57 (7-8), pp.731-741Taylor & Francis
摘要:Let Ω be a bounded open set in ℍ2, and let K be a compact subset of Ω. In this article we prove that approximate solutions to the Cauchy–Fueter system in two variables on Ω ∖ K can be extended to approximate solutions to the same system in all of Ω.
作者:Fabrizio Colombo , Irene Sabadini , Daniele C. Struppa
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2012, Vol.390 (1), pp.47-58Elsevier
摘要:Abstract(#br)In this paper we prove the Poincaré Lemma for circulant matrices with C ∞ entries and the Mittag–Leffler theorem for Hermitian monogenic matrix functions. We then prove algebraic and topological duality theorems for Hermitian monogenic matrix functions. Fin...
作者:Domenico Napoletani , Marco Panza , Daniele C. Struppa
来源:[J].Foundations of Science(IF 0.81), 2013, Vol.18 (3), pp.591-594Springer
摘要:Abstract(#br)As a reply to the commentary (Lenhard in Found Sci, 2012 ), we stress here that structural understanding of data analysis techniques is the natural counterpart to the lack of understanding of phenomena in agnostic science. We suggest moreover that the dynamics of com...
作者:Domenico Napoletani , Marco Panza , Daniele C. Struppa
来源:[J].Foundations of Science(IF 0.81), 2013, Vol.18 (3), pp.587-590Springer
摘要:Abstract(#br)As a reply to the commentary (Humphreys in Found Sci, 2012 ), we explore the methodological implications of seeing artificial neural networks as generic classification tools, we show in which sense the use of descriptions and models in data analysis is not equivalent...
作者:Irene Sabadini , Daniele C. Struppa
来源:[J].Complex Variables and Elliptic Equations(IF 0.5), 1996, Vol.30 (1), pp.19-34Taylor & Francis
摘要:The purpose of this paper is to establish a topological isomorphism between the space FK of H-hyperfunctions supported by a compact K and the space (G(K))' of left H-linear functionals on G(K) space of germs of regular functions. The space FK is also topologically isomorphic...

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