Thematische Bibliographien / Meromorphic extension

Auswahl der wissenschaftlichen Literatur zum Thema „Meromorphic extension“

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Veröffentlicht am 8. Juni 2024

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Zeitschriftenartikel zum Thema "Meromorphic extension"

Hai, L., N. Khue und N. Nga. „Weak meromorphic extension“. Colloquium Mathematicum 64, Nr. 1 (1993): 65–70. http://dx.doi.org/10.4064/cm-64-1-65-70.

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Le Mau Hai und Nguyen Van Khue. „Meromorphic extension spaces“. Annales de l’institut Fourier 42, Nr. 3 (1992): 501–15. http://dx.doi.org/10.5802/aif.1300.

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Merker, Joël, und Egmont Porten. „On the local meromorphic extension of CR meromorphic mappings“. Annales Polonici Mathematici 70 (1998): 163–93. http://dx.doi.org/10.4064/ap-70-1-163-193.

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SARKIS, FRÉDÉRIC. „CR-MEROMORPHIC EXTENSION AND THE NONEMBEDDABILITY OF THE ANDREOTTI–ROSSI CR STRUCTURE IN THE PROJECTIVE SPACE“. International Journal of Mathematics 10, Nr. 07 (November 1999): 897–915. http://dx.doi.org/10.1142/s0129167x99000380.

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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 extension theorem which extends to the greater codimensional case. We also apply our extension result to prove a Lewy type extension theorem for CR-meromorphic maps, a Hartogs type theorem in [Formula: see text] and the non embedding of the Andreotti–Rossi CR structure in [Formula: see text].

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Mol, Rogério S. „Meromorphic first integrals: some extension results“. Tohoku Mathematical Journal 54, Nr. 1 (März 2002): 85–104. http://dx.doi.org/10.2748/tmj/1113247181.

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Chiappari, Stephen A. „Holomorphic extension of proper meromorphic mappings.“ Michigan Mathematical Journal 38, Nr. 2 (1991): 167–74. http://dx.doi.org/10.1307/mmj/1029004326.

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Nordin, Azmeer, und Mohd Salmi Md Noorani. „Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts“. Mathematics 9, Nr. 11 (01.06.2021): 1268. http://dx.doi.org/10.3390/math9111268.

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For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the system. Specifically, the existence of a non-vanishing meromorphic extension of the zeta function leads to certain asymptotic results. In this paper, we prove the asymptotic behaviours of the counting functions for a certain type of shift spaces induced by directed bouquet graphs and Dyck shifts. We call these shift spaces as the bouquet-Dyck shifts. Since their respective zeta function involves square roots of polynomials, the meromorphic extension is difficult to be obtained. To overcome this obstacle, we employ some theories on zeros of polynomials, including the well-known Eneström–Kakeya Theorem in complex analysis. Finally, the meromorphic extension will imply the desired asymptotic results.

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Domrin, Andrei V. „Meromorphic extension of solutions of soliton equations“. Izvestiya: Mathematics 74, Nr. 3 (23.06.2010): 461–80. http://dx.doi.org/10.1070/im2010v074n03abeh002494.

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Zheng, Jian-Hua. „A Quantitative Estimate on Fixed-Points of Composite Meromorphic Functions“. Canadian Mathematical Bulletin 38, Nr. 4 (01.12.1995): 490–95. http://dx.doi.org/10.4153/cmb-1995-071-x.

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AbstractLet ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove thatwhere J has a positive lower logarithmic density.

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Xu, Hong Yan, und Xiu Min Zheng. „The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles“. Open Mathematics 17, Nr. 1 (28.08.2019): 1014–24. http://dx.doi.org/10.1515/math-2019-0079.

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Abstract The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference equations are obtained. Our theorems are some extension and improvements to those results given by Qi, Peng, Chen, and Zhang.

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Dissertationen zum Thema "Meromorphic extension"

Roby, Simon. „Résonances du Laplacien sur les fibrés vectoriels homogènes sur des espaces symétriques de rang réel un“. Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0129.

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On étudie les résonances de l’opérateur de Laplace agissant sur les sections d’un fibré vectoriel homogène sur un espace symétrique Riemannien de type non-compact. On suppose que l’espace symétrique est de rang un, mais la représentation irréductible τ du compact maximal K, qui définit le fibré vectoriel, est quelconque. On détermine alors les résonances. Si on suppose de plus que τ apparaît dans les représentations de la série principale sphérique, on détermine les représentations issues des résonances. Elles sont toutes irréductibles. On trouve leurs paramètres de Langlands, leurs fronts d’onde et lesquelles sont unitarisables
We study the resonances of the Laplacian acting on the compactly supported sections of a homogeneous vector bundle over a Riemannian symmetric space of the non- compact type. The symmetric space is assumed to have rank-one but the irreducible representation τ of the maximal compact K defining the vector bundle is arbitrary. We determine the resonances. Under the additional assumption that τ occurs in the spherical principal series, we determine the resonance representations. They are all irreducible. We find their Langlands parameters, their wave front sets and determine which of them are unitarizable

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Mcmonagle, Aoife. „Meromorphic extensions of dynamical generating functions and applications to Schottky groups“. Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/meromorphic-extensions-of-dynamical-generating-functions-and-applications-to-schottky-groups(af657d7b-3b8a-4d14-8cff-c5258af3260c).html.

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This thesis is concerned with finding meromorphic extensions to a half-plane containing zero for certain generating functions. In particular, we generalise a result due to Morita and use it to show that the zeta function associated to the geodesic flow over a quotient of a Schottky group can be meromorphically extended to a half-plane containing zero. Moreover, we show that the special value at zero can be calculated. These results are then generalised to obtain meromorphic extensions past zero for L-functions defined on quotients of Schottky groups and to provide an expression for the special value at zero. Finally we show that Morita's method can be adapted to provide a meromorphic extension to a half-plane containing zero for Poincaré series defined for a Schottky group, and that in special circumstances the value at zero can be calculated.

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Sarkis, Frédéric. „Extension des fonctions cr-meromorphes et probleme du bord dans les varietes kahleriennes compactes“. Paris 6, 1999. http://www.theses.fr/1999PA066457.

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Nous donnons une caractis'erisation du probliseme du bord dans les variis'etis'es de la forme $$x = u istimes isomega$$ oisu $$u$$ est une variis'etis'e complexe connexe et $$isomega$$ est une variis'etis'e kis"ahlis'erienne disque convexe. Comme consis'equence, nous obtenons de nouvelles dis'emonstrations de ris'esultats de harvey-lawson, dolbeault-henkin et dinh. Nous obtenons aussi une gis'enis'eralisation des this'eorisemes de hartogs-levi et hartogs-bochner. Enfin, nous montrons qu'une structure cr strictement pseudo-convexe plongeable dans une variis'etis'e kis"ahlis'erienne disque-convexe est plongeable dans $$isccn$$ si et seulement si elle admet une fonction cr non constante. En ris'eponse isa une question de harvey et lawson, on montre le ris'esultat suivant : soient $$y issubset isccn$$ un compacte polynomialement convexe et $$isomega$$ un domaine de $$isccn$$. Alors tout application cr-mis'eromorphe dis'efinie sur $$ispartial isomega$$ et isa valeurs dans une variis'etis'e projective $$v$$ admet une extension mis'eromorphe $$f : isomega isrightarrow v$$. La notion de fonction cr-mis'eromorphe est is'etendue au cas des variis'etis'es cr. Nous donnons alors une autre dis'emonstration du this'eoriseme d'extension cr-mis'eromorphe pouvant se gis'enis'eraliser au cas de la codimension supis'erieure. Comme application de ce ris'esultat, nous montrons que la structure cr d'andreotti-rossi n'est pas plongeable dans l'espace projectif. Nous montrons aussi que les fonctions holomorphes (resp. Meromorphes) au voisinage d'une hypersurface ris'eelle $$m$$ de $$pn (iscc)$$ ($$n isgeq 2$$) admettent une extension holomorphe (resp. Mis'eromorphe) isa l'un des deux cotis'es de $$m$$. En collaboration avec t. C dinh, nous obtenons un this'eoriseme de wedge removability pour les ensemble de mesure de hausdorff de codimension deux nulle. Ce dernier this'eoriseme associis'e a un ris'esultat de marker-porten permet de montrer l'extension des fonctions cr-mis'eromorphes en codimension supis'erieure.

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Teguia, Alberto Mokak. „Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames“. Digital Commons @ East Tennessee State University, 2005. https://dc.etsu.edu/etd/1024.

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The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these results include calculating operators resolvents and finding the inverse of a frame operator.

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Buchteile zum Thema "Meromorphic extension"

Harita, Mitsuru. „Extension of Meromorphic Mappings from Domains of the Locally Convex Space“. In Recent Developments in Complex Analysis and Computer Algebra, 95–103. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4613-0297-1_8.

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Shai Haran, M. J. „The real prime“. In The Mysteries of the Real Prime, 1–5. Oxford University PressOxford, 2001. http://dx.doi.org/10.1093/oso/9780198508687.003.0001.

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Abstract The arithmetic of number fields, which are finite extensions of the field of rational numbers ℚ1 resembles the geometric theory of function fields, the fields of meromorphic functions on the one-dimensional objects of geometry-the curves. Over the complex numbers ℂ1 a curve Σ is a compact Riemann surface, and its fiel dof meromorphic functions ℂ (Σ) is a finite extension of the field of rational functions ℂ (ℙ1) = ℂ (z). The geometry of Σ can be retrieved from the arithmetic of the field ℂ (Σ).

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Riihentaus, Juhani. „Extension results for holomorphic and for meromorphic functions“. In Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties, 112–18. BENTHAM SCIENCE PUBLISHERS, 2021. http://dx.doi.org/10.2174/9789811498701121010012.

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Riihentaus, Juhani. „Extension results for plurisubharmonic and for convex functions“. In Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties, 105–11. BENTHAM SCIENCE PUBLISHERS, 2021. http://dx.doi.org/10.2174/9789811498701121010011.

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Riihentaus, Juhani. „Hausdorff measure and extension results for subharmonic functions, for separately subharmonic functions, for harmonic functions and for separately harmonic functions“. In Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties, 92–104. BENTHAM SCIENCE PUBLISHERS, 2021. http://dx.doi.org/10.2174/9789811498701121010010.

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„EXTENSIONS OF SOME CRITERIONS OF NORMALITY AND QUASI—NORMALITY“. In Normal Families of Meromorphic Functions, 273–307. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814354585_0007.

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