Relevant bibliographies by topics / Holomorphic extensions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Reports

Academic literature on the topic 'Holomorphic extensions'

Author: Grafiati
Published: 24 April 2022

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Journal articles on the topic "Holomorphic extensions"

1

Bruzzo, Ugo, Igor Mencattini, Vladimir N. Rubtsov, and Pietro Tortella. "Nonabelian holomorphic Lie algebroid extensions." International Journal of Mathematics 26, no. 05 (2015): 1550040. http://dx.doi.org/10.1142/s0129167x15500408.

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We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild–Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure.
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Globevnik, Josip. "Degree and holomorphic extensions." Mathematical Research Letters 14, no. 4 (2007): 615–22. http://dx.doi.org/10.4310/mrl.2007.v14.n4.a6.

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Mitra, Sudeb. "Extensions of holomorphic motions." Israel Journal of Mathematics 159, no. 1 (2007): 277–88. http://dx.doi.org/10.1007/s11856-007-0047-1.

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Globevnik, Josip. "Holomorphic extensions and rotation lnvariance." Complex Variables, Theory and Application: An International Journal 24, no. 1-2 (1994): 49–51. http://dx.doi.org/10.1080/17476939408814698.

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Brück, Rainer, and Leonhard Frerick. "Holomorphic Extensions of Whitney Jets." Results in Mathematics 43, no. 1-2 (2003): 56–73. http://dx.doi.org/10.1007/bf03322721.

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Slodkowski, Zbigniew. "Natural extensions of holomorphic motions." Journal of Geometric Analysis 7, no. 4 (1997): 637–51. http://dx.doi.org/10.1007/bf02921638.

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Jiang, Yunping, and Sudeb Mitra. "Monodromy, liftings of holomorphic maps, and extensions of holomorphic motions." Conformal Geometry and Dynamics of the American Mathematical Society 22, no. 14 (2018): 333–44. http://dx.doi.org/10.1090/ecgd/329.

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BRACCI, Filippo. "First order extensions of holomorphic foliations." Hokkaido Mathematical Journal 33, no. 2 (2004): 473–90. http://dx.doi.org/10.14492/hokmj/1285766178.

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Bradlow, Steven B., and Oscar García-Prada. "Higher cohomology triples and holomorphic extensions." Communications in Analysis and Geometry 3, no. 3 (1995): 421–63. http://dx.doi.org/10.4310/cag.1995.v3.n3.a2.

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Andersson, Mats, and Bo Berndtsson. "Almost holomorphic extensions of ultradifferentiable functions." Journal d'Analyse Mathématique 89, no. 1 (2003): 337–65. http://dx.doi.org/10.1007/bf02893087.

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Dissertations / Theses on the topic "Holomorphic extensions"

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Marciniak, Malgorzata Aneta. "Holomorphic extensions in toric varieties." Diss., Rolla, Mo. : Missouri University of Science and Technology, 2009. http://scholarsmine.mst.edu/thesis/pdf/Marciniak_09007dcc8063d852.pdf.

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Thesis (Ph. D.)--Missouri University of Science and Technology, 2009.<br>Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed April 29, 2009) Includes bibliographical references (p. 142-144).
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Ronchim, Victor dos Santos. "Extensões de polinômios e de funções analíticas em espaços de Banach." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05122017-101547/.

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Este trabalho tem como principal objetivo estudar extensões de aplicações multilineares, de polinômios homogêneos e de funções analíticas entre espaços de Banach. Desta maneira, nos baseamos em importantes trabalhos sobre o assunto. Inicialmente apresentamos o produto de Arens para álgebras de Banach, extensões de Aron-Berner e de Davie-Gamelin para aplicações multilineares e provamos que todas estas extensões coincidem. A partir destes resultados, apresentamos a extensão de polinômios homogêneos e o Teorema de Davie-Gamelin que afirma que, assim como no caso de aplicações multilineares, as ex
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Anakkar, Mohammed. "Extension properties of holomorphic mappings with values in complex Hilbert manifolds." Thesis, Lille, 2021. http://www.theses.fr/2021LILUI003.

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Cette thèse contient les deux principaux résultats suivants. Le premier est l'existence d'un système fondamental de voisinages 1-complet. Le second résultat principal concerne les espaces des lacets généralisés sur des variétés complexes de dimension finie. Nous pouvons d'abord remarquer qu'ils ont une structure de variétés de Hilbert complexes. Nous prouverons alors que l'espace des lacets généralisé d'une variété de Hartogs est une variété Hilbert-Hartogs<br>Our thesis contains the following two principal results. First is the existence of a 1-complete neighborhoods. Our second main result c
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Aouad, Allal. "Extensions de fonctions holomorphes avec estimations." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37611361v.

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Aouad, Allal. "Extension de fonctions holomorphes avec estimations." Bordeaux 1, 1988. http://www.theses.fr/1988BOR10630.

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Dans la premiere partie de ce travail, on donne une preuve plus simple da la caracterisation de carleson des suites d'interpolation z#n,n,n du disque unite d de c telles que pour toute 1=l#n,n,n suite de nombres complexes bornee il existe f holomorphe bornee dans d verifiant pour tout n,n f(z#n)=l#n: en effet la partie difficile consiste a montrer que la mesure naturelle associee a la suite est bien de carleson. Carleson le demontre a l'aide d'un argument combinatoire delicat et particulier au cas d'une variable complexe (ou les zeros des fonctions holomorphes sont des points). Ici, on utilise
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Armel, Jonathan J. "Holomorphic extension of solutions to homogeneous analytic partial dierential equations." Diss., [La Jolla] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p3356358.

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Thesis (Ph. D.)--University of California, San Diego, 2009.<br>Title from first page of PDF file (viewed July 9, 2009). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 45-46).
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Maingot, Stéphane. "Sur l'extension des fonctions C R." Paris 11, 1985. http://www.theses.fr/1985PA112345.

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Dans cette thèse, on considère M, une sous-variété C R de CN, passant par 0 et on donne des conditions suffisantes, liées à la forme de Levi en 0, pour que toutes fonction C R sur ω, un voisinage ouvert de 0 dans M, soit la restriction à ω d’une fonction holomorphe au voisinage de 0 dans CN. La méthode utilisée consiste en la construction de disques analytiques dont le bord est sur M et qui contiennent un voisinage de 0 dans CN, d’abord dans un cas modèle puis dans la cas général par approximations<br>In this thesis, we consider M, a CR submanifold of ₵N, which passes through 0, and, we give s
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Duquenoy, Vincent. "Extensions des fonctions holomorphes définies sur une hypersurface complexe singulière." Littoral, 2004. http://www.theses.fr/2004DUNK0109.

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Mazzilli, Emmanuel. "Division et extension des fonctions holomorphes dans les ellipsoi͏̈des." Toulouse 3, 1995. http://www.theses.fr/1995TOU30139.

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Dans la première partie, nous résolvons l'équation de Cauchy Riemann avec estimation optimale en norme L#P dans les ellipsoides réels de C#N. Nous obtenons les solutions sous forme d'intégrales ne portant que sur le domaine considéré. Ceci et une généralisation des inégalités de Young classiques nous permettent d'obtenir des résultats optimaux. Dans la deuxième partie, nous établissons des formules de divisions pour les fonctions holomorphes dans les domaines de C#N. Il existait déjà de telles formules mais elles comportaient beaucoup de compensations entre les différents termes. Ceci entraina
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Chen, Zhangchi. "Differential invariants of parabolic surfaces and of CR hypersurfaces; Directed harmonic currents near non-hyperbolic linearized singularities; Hartogs’ type extension of holomorphic line bundles; (Non-)invertible circulant matrices On differential invariants of parabolic surfaces A counterexample to Hartogs’ type extension of holomorphic line bundles Directed harmonic currents near non-hyperbolic linearized singularities Affine Homogeneous Surfaces with Hessian rank 2 and Algebras of Differential Invariants On nonsingularity of circulant matrices." Thesis, université Paris-Saclay, 2021. http://www.theses.fr/2021UPASM005.

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La thèse se compose de 6 articles. (1) Nous calculons les générateurs des SA₃(ℝ)-invariants pour les surfaces paraboliques. (2) Nous calculons les invariants rigides relatifs pour les hypersurfaces rigides 2-non-dégénérées de rang de Levi constant 1 dans ℂ³: V₀, I₀, Q₀ ayant 11, 52, 824 monômes au numérateur. (3) Nous organisons tous les modèles affinement homogènes non-dégénérés dans ℂ³ en branches inéquivalentes. (4) Pour un courant harmonique dirigé autour d'une singularité linéarisée non-hyperbolique qui ne charge pas les séparatrices triviales dont l'extension triviale à travers 0 est ddc
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Books on the topic "Holomorphic extensions"

1

Pflug, Peter, and Marek Jarnicki. Extension of Holomorphic Functions. De Gruyter, Inc., 2000.

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Extension of Holomorphic Functions (De Gruyter Expositions in Mathematics, 34). Walter de Gruyter, 2000.

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Epstein, Charles L., and Rafe Mazzeo. Degenerate Diffusion Operators Arising in Population Biology (AM-185). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.001.0001.

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This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the martingale problem and therefore the existence of the associated Markov process. The book uses an “integral kernel method” to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise natur
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Mann, Peter. Poisson Brackets & Angular Momentum. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0017.

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This chapter discusses canonical transformations and gauge transformations and is divided into three sections. In the first section, canonical coordinate transformations are introduced to the reader through generating functions as the extension of point transformations used in Lagrangian mechanics, with the harmonic oscillator being used as an example of a canonical transformation. In the second section, gauge theory is discussed in the canonical framework and compared to the Lagrangian case. Action-angle variables, direct conditions, symplectomorphisms, holomorphic variables, integrable syste
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Book chapters on the topic "Holomorphic extensions"

1

Laurent-Thiébaut, Christine. "IV Extensions of CR functions." In Holomorphic Function Theory in Several Variables. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-030-4_4.

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Laurent-Thiébaut, Christine. "V Extensions of holomorphic and CR functions on manifolds." In Holomorphic Function Theory in Several Variables. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-030-4_5.

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Tutschke, Wolfgang. "Holomorphic extensions of functions on submanifolds: A generalization of H, lewy's example." In Seminar on Deformations. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0076166.

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Adachi, Kenzo. "H p and L p Extensions of Holomorphic Functions from Subvarieties to Some Convex Domains." In Recent Developments in Complex Analysis and Computer Algebra. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4613-0297-1_1.

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Adachi, Kenzō. "Extending Holomorphic Functions from Subvarieties." In Analytic Extension Formulas and their Applications. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-3298-6_1.

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Mortini, Raymond, and Rudolf Rupp. "Stable ranks of holomorphic function algebras in $$ \mathbb{C}^{n} $$." In Extension Problems and Stable Ranks. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73872-3_33.

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Trépreau, Jean-Marie. "Holomorphic Extension of CR Functions: A Survey." In Partial Differential Equations and Mathematical Physics. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-0775-7_21.

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Nicola, Fabio, and Luigi Rodino. "Exponential Decay and Holomorphic Extension of Solutions." In Global Pseudo-Differential Calculus on Euclidean Spaces. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8512-5_8.

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Karp, Dmitri. "Holomorphic Spaces Related to Orthogonal Polynomials and Analytic Continuation of Functions." In Analytic Extension Formulas and their Applications. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-3298-6_10.

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Kytmanov, Alexander M., and Simona G. Myslivets. "Functions with the One-Dimensional Holomorphic Extension Property." In Multidimensional Integral Representations. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21659-1_4.

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Reports on the topic "Holomorphic extensions"

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Wockel, Christoph. Smooth Extensions and Spaces of Smooth and Holomorphic Mappings. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-5-2006-118-126.

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