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Relevant bibliographies by topics / Hartogs-Chirka

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Academic literature on the topic 'Hartogs-Chirka'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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Journal articles on the topic "Hartogs-Chirka"

1

Gupta, Purvi. "Two extension theorems of Hartogs-Chirka type involving continuous multifunctions." Michigan Mathematical Journal 60, no. 3 (2011): 675–85. http://dx.doi.org/10.1307/mmj/1320763054.

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2

Rosay, Jean Pierre. "A counterexample related to Hartogs' phenomenon (a question by E. Chirka)." Michigan Mathematical Journal 45, no. 3 (1998): 529–35. http://dx.doi.org/10.1307/mmj/1030132298.

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3

Barrett, David E., and Gautam Bharali. "The role of Fourier modes in extension theorems of Hartogs-Chirka type." Mathematische Zeitschrift 249, no. 4 (2004): 883–901. http://dx.doi.org/10.1007/s00209-004-0742-0.

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4

SARKIS, FRÉDÉRIC. "CR-MEROMORPHIC EXTENSION AND THE NONEMBEDDABILITY OF THE ANDREOTTI–ROSSI CR STRUCTURE IN THE PROJECTIVE SPACE." International Journal of Mathematics 10, no. 07 (1999): 897–915. http://dx.doi.org/10.1142/s0129167x99000380.

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Abstract:

Let [Formula: see text] be a polynomially convex compact set and let M be a (2p-1) dimensional (p ≥ 2) maximally complex bounded scarred C1 submanifold of [Formula: see text], irreducible in the current sense. According to Harvey–Lawson [14] and Chirka [4], there exists a bounded irreducible analytic set [Formula: see text] such that [M]=±d[T]. In this paper, we prove that every CR-meromorphic map carrying M into a projective manifold V extends to a meromorphic map F:T → V. We extend the notion of CR-meromorphic maps to CR submanifolds of [Formula: see text] and give another proof of our exten

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Dissertations / Theses on the topic "Hartogs-Chirka"

1

Gupta, Purvi. "Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/1345.

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Abstract:

It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate this theme by offering some well-known extension results on domains in Cn having many symmetries. One important result, in this regard, is Hartogs’ theorem on the extension of functions holomorphic in a certain neighbourhood of (D x {0} U (∂D x D), D being the open unit disc in C. To understand the nature of analytic continuation in greater detail, in Chapter 2, we make rig

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2

Gupta, Purvi. "Some Descriptions Of The Envelopes Of Holomorphy Of Domains in Cn." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/1345.

Full text

Abstract:

It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate this theme by offering some well-known extension results on domains in Cn having many symmetries. One important result, in this regard, is Hartogs’ theorem on the extension of functions holomorphic in a certain neighbourhood of (D x {0} U (∂D x D), D being the open unit disc in C. To understand the nature of analytic continuation in greater detail, in Chapter 2, we make rig

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