Results 151 to 160 of about 11,045 (223)
Radial growth of starlike holomorphic mappings in the unit ball in $\mathbb{C}^n$(Spaces of Analytic and Harmonic Functions and Operator Theory)openaire
Analyticity of Weighted Composition Semigroups on the Space of Holomorphic Functions
Bulletin of the Iranian Mathematical SocietyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Chalishajar +2 more
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Analytic Properties of Holomorphic Functions
, 1991 At the end of Chapter 1 we introduced the holomorphic functions, that is, those functions f ∈ C1(Ω) that satisfy the Cauchy-Riemann differential equation \(\frac{{\partial f}}{{\partial \bar z}} = 0\) throughout an open set Ω ⊆ ℂ. As an immediate consequence of the topological tools developed in that chapter we found that the holomorphic functions ...
Carlos A. Berenstein, Roger Gay
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Siberian Mathematical Journal, 1989 Let \(D_{\sigma}=\{z:\) Im \(z_ j>-\sigma\), \(j=1,...,n\}\) be a product of n halfplanes. Here \(\sigma\) is a fixed positive constant. The Hardy class \(H^ 2(D_{\sigma})\) consists of such functions f holomorphic in \(D_{\sigma}\) that \[ \int_{{\mathbb{R}}\quad n}| f(x+iy)|^ 2 dx\leq c, \] where \(x=(x_ 1,...,x_ n)\), \(y=(y_ 1,...,y_ n ...
Lev Aizenberg
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Mathematical Notes of the Academy of Sciences of the USSR, 1972 It is proved that every holomorphic function of n variables which has singularities on analytic surfaces, whose equations are linearly dependent, can be represented as the sum of functions, each of which has less than one singular surface. This fact is used to construct a basis for the space of functions which are holomorphic in the domain $$C^n ...
A. P. Yuzhakov
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Siberian Mathematical Journal, 2001 The article under review refers to the papers [\textit{L.~S.~Maergojz}, Sib. Math. J. 41, No. 6, 1126-1136 (2000; Zbl 0970.32011) and Dokl. Math. 56, No. 2, 674-678 (1997; Zbl 0973.32002)] wherein the problem of optimal extrapolation from a finite set is studied in the class of entire functions with finite spectrum. The aim of the present article is to
Л. С. Маергойз +1 more
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Extension of holomorphic functions defined on singular analytic spaces with growth estimates [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2015 William Alexandre, Emmanuel Mazzilli
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Analytic Discs Attached to Half Spaces of C n and Extension of Holomorphic Functions
, 2001 Let M be a real hypersurface of Cn, M+ a closed half space with boundary M, zo a point of M. We prove that the existence of a disc A tangent to M at zo, attached to M+ but not to M (i.e.∂A ⊂ M+ but ∂A ⊂ M), entails extension of holomorphic functions from the interior of M+ to a full neighborhood of zo. This result covers a result in [9], where the disc
Luca Baracco, Giuseppe Zampieri
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Analyticity of the Dirichlet-to-Neumann semigroup on continuous functions
Journal of evolution equations (Printed ed.), 2017Let $$\Omega $$Ω be a bounded open subset with $$C^{1+\kappa }$$C1+κ-boundary for some $$\kappa > 0$$κ>0. Consider the Dirichlet-to-Neumann operator associated with the elliptic operator $$- \sum \partial _l ( c_{kl} \, \partial _k ) + V$$-∑∂l(ckl∂k)+V ...
A. T. Elst, E. Ouhabaz
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On the radius of spatial analyticity for the modified Kawahara equation on the line
Mathematische Nachrichten, 2019First, by using linear and trilinear estimates in Bourgain type analytic and Gevrey spaces, the local well‐posedness of the Cauchy problem for the modified Kawahara equation on the line is established for analytic initial data u0(x) that can be extended ...
G. Petronilho, Priscila Leal da Silva
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