Results 11 to 20 of about 154 (43)

Noncommutative Cauchy integral formula

, 2016
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C^1 functions on a real alternative *-algebra.
Ghiloni, Riccardo, Perotti, Alessandro, Recupero, Vincenzo   +2 more
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Fekete–Szegö problems for (β, Φ)-spirllike mapping of complex order γ in Banach space

Demonstratio Mathematica
In this paper, we establish the sharp Fekete–Szegö inequalities of functional type over a new class of holomorphic mappings on the unit ball in a complex Banach space. This class includes some important widely studied classes. We offer simpler proofs and
Xiong Liangpeng, Yu Fang, Wang Qingchao
doaj   +1 more source

On Limits of Sequences of Holomorphic Functions [PDF]

, 2010
We study functions which are the pointwise limit of a sequence of holomorphic functions. In one complex variable this is a classical topic, though we offer some new points of view and new results.
Krantz, Steven G.
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Facial behaviour of analytic functions on the bidisk

, 2010
We prove that if $\phi$ is an analytic function bounded by 1 on the bidisk and $\tau$ is a point in a face of the bidisk at which $\phi$ satisfies Caratheodory's condition then both $\phi$ and the angular gradient $\nabla\phi$ exist and are constant on ...
Agler, Jim, McCarthy, John E., Young, N. J.   +2 more
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Hyperbolic Double-Complex Laplace Operator [PDF]

, 2012
2010 Mathematics Subject Classification: 35G35, 32A30, 30G35.In this paper is introduced the hyperbolic double-complex Laplace operator. The hyperbolic decomplexification of the hyperbolic doublecomplex Laplace operator and its characteristic set is ...
N. Apostolova, Lilia
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Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball [PDF]

, 2014
In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space $H^2(\mathbb{B}_N)$ and weighted Bergman spaces $A_\alpha^2(\mathbb{B}_N)$, where $\mathbb{B}_N$ is the unit ball of the $N ...
Gao, Yong-Xin, Zhou, Ze-Hua
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Continuous slice functional calculus in quaternionic Hilbert spaces

, 2013
The aim of this work is to define a continuous functional calculus in quaternionic Hilbert spaces, starting from basic issues regarding the notion of spherical spectrum of a normal operator.
Adler S. L., ALESSANDRO PEROTTI, Beltrametti E. G., Brackx F., Dunford N., Emch G., Engesser K., Kulkarni S. H., Moretti V., Piron C., RICCARDO GHILONI, Rudin W., Rudin W., VALTER MORETTI, Varadarajan V. S., Viswanath K.   +15 more
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A generalization of Weierstrass’ ℘-function to quasi-abelian varieties [PDF]

, 2012
Zappa constructed a ∂^^--closed (n − 1, n − 1)-form on an abelian variety which can be considered as a generalized Weierstrass’ ℘-function.
ABE Yukitaka, KOGIE Atsuko
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Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painleve' Equation: II

, 2010
The degenerate third Painleve' equation, $u"(t)=(u'(t))^2/u(t)-u'(t)/t+1/t(-8c u^2(t)+2ab)+b^2/u(t)$, where $c=+/-1$, $b>0$, and $a$ is a complex parameter, is studied via the Isomonodromy Deformation Method.
Kitaev, A. V., Vartanian, A.
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Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials [PDF]

, 2012
MSC 2010: 30C10, 32A30, 30G35The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2],
Apostolova, Lilia N.
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