Search Results - Global boundary behavior of holomorphic functions of several complex variables
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The boundary behavior of holomorphic functions: Global and local results
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.08.2006Published in arXiv.org (26.08.2006)“…We develop a new technique for studying the boundary limiting behavior of a holomorphic function on a domain \(\Omega…”
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On the representation and boundary behavior of certain classes of holomorphic functions in several variables
ISBN: 9781339091945, 1339091941Published: ProQuest Dissertations & Theses 01.01.2015“…This dissertation concerns the investigation of function theoretic properties of certain classes of holomorphic functions in two or more variables by means of operator theoretic methods…”
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BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS IN THE UNIT BALL OF C('N) (COMPLEX, BOUNDARY VALUES)
ISBN: 9798661331946Published: ProQuest Dissertations & Theses 01.01.1984“…)(VBAR) = 1} > 1-d. The existence of such functions is of interest for several reasons…”
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Asymptotic first boundary value problem for holomorphic functions of several complex variables
ISSN: 0008-4395, 1496-4287Published: Canada Canadian Mathematical Society 01.06.2022Published in Canadian mathematical bulletin (01.06.2022)“… T}$ , there is a function f holomorphic in the unit disc ${{\mathbb D}}$ , having $\psi $ as radial limit a.e. on ${\mathbb T}$ . We consider an analogous boundary value…”
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Asymptotic first boundary value problem for holomorphic functions of several complex variables
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 18.03.2021Published in arXiv.org (18.03.2021)“…\) holomorphic in the unit disc \(\mathbb D,\) having \(\psi\) as radial limit a.e. on \(\mathbb T.\) We consider an analogous boundary value problem, where the unit disc…”
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Foundations of Fatou Theory and a Tribute to the Work of E. M. Stein on Boundary Behavior of Holomorphic Functions
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.07.2021Published in The Journal of geometric analysis (01.07.2021)“… Stein to the study of the boundary behavior both of holomorphic and harmonic functions in one and several variables…”
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The boundary behavior of holomorphic functions
ISBN: 9781124597928, 1124597921Published: ProQuest Dissertations & Theses 01.01.2011“…In the theory of several complex variables, the Fatou type problems, the Lindelöf principle, and inner functions have been well studied for strongly pseudoconvex domains…”
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A Survey on the L2 Extension Theorems
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.04.2020Published in The Journal of geometric analysis (01.04.2020)“…Results on the extension of L 2 holomorphic functions will be described after a history of the L 2 method…”
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Radial limits of holomorphic functions on the ball
ISBN: 0549862420, 9780549862420Published: ProQuest Dissertations & Theses 01.01.2008“…In this dissertation, we consider various aspects of the boundary behavior of holomorphic functions of several complex variables…”
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Studies of holomorphic functions having absolutely continuous boundary values on curves in the unit ball of C(n)
ISBN: 9798209195269Published: ProQuest Dissertations & Theses 01.01.1994“…The research results we present are concerned with the behaviour of holomorphic functions having absolutely continuous boundary values on curves in the unit ball of $\doubc\sp n…”
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Geometric analysis in several complex variables
ISBN: 9798208900413Published: ProQuest Dissertations & Theses 01.01.1994“…In this thesis, we answer several questions in the function theory of several complex variables which possess local geometric features but which need global non-linear analysis method for the solutions…”
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