Relevant bibliographies by topics / Banach spaces. Domains of holomorphy

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Academic literature on the topic 'Banach spaces. Domains of holomorphy'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Banach spaces. Domains of holomorphy"

1

Matos, Mário C., and Leopoldo Nachbin. "Reinhardt domains of holomorphy in Banach spaces." Advances in Mathematics 92, no. 2 (1992): 266–78. http://dx.doi.org/10.1016/0001-8708(92)90066-t.

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Filipsson, Lars. "ℂ-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation". International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–9. http://dx.doi.org/10.1155/ijmms/2006/80846.

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We investigate the concepts of linear convexity andℂ-convexity in complex Banach spaces. The main result is that anyℂ-convex domain is necessarily linearly convex. This is a complex version of the Hahn-Banach theorem, since it means the following: given aℂ-convex domainΩin the Banach spaceXand a pointp∉Ω, there is a complex hyperplane throughpthat does not intersectΩ. We also prove that linearly convex domains are holomorphically convex, and that Kergin interpolation can be performed on holomorphic mappings defined inℂ-convex domains.
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Harris, Lawrence A. "Fixed points of holomorphic mappings for domains in Banach spaces." Abstract and Applied Analysis 2003, no. 5 (2003): 261–74. http://dx.doi.org/10.1155/s1085337503205042.

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We discuss the Earle-Hamilton fixed-point theorem and show how it can be applied when restrictions are known on the numerical range of a holomorphic function. In particular, we extend the Earle-Hamilton theorem to holomorphic functions with numerical range having real part strictly less than 1. We also extend the Lumer-Phillips theorem estimating resolvents to dissipative holomorphic functions.
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Reich, Simeon, and David Shoikhet. "Metric domains, holomorphic mappings and nonlinear semigroups." Abstract and Applied Analysis 3, no. 1-2 (1998): 203–28. http://dx.doi.org/10.1155/s1085337598000529.

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We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.
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Burbea, Jacob. "Functional Banach spaces of holomorphic functions on Reinhardt domains." Annales Polonici Mathematici 49, no. 2 (1988): 179–208. http://dx.doi.org/10.4064/ap-49-2-179-208.

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6

Zhu, Kehe. "Distances and Banach Spaces of Holomorphic Functions on Complex Domains." Journal of the London Mathematical Society 49, no. 1 (1994): 163–82. http://dx.doi.org/10.1112/jlms/49.1.163.

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7

Mujica, Jorge, and Daniela M. Vieira. "Weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces." Revista Matemática Complutense 23, no. 2 (2009): 435–52. http://dx.doi.org/10.1007/s13163-009-0026-7.

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Dineen, Seán, and Milena Venkova. "HOLOMORPHIC NEAR INVERSES." Asian-European Journal of Mathematics 02, no. 03 (2009): 417–23. http://dx.doi.org/10.1142/s1793557109000340.

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In this article we show that holomorphic Fredholm-valued mappings defined on connected pseudo-convex domains in Banach spaces with unconditional basis always have meromorphic generalised inverses. We show they have holomorphic generalised inverses if and only if the kernels have the same dimension at all points in Ω.
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9

Reich, Simeon, and David Shoikhet. "Generation theory for semigroups of holomorphic mappings in Banach spaces." Abstract and Applied Analysis 1, no. 1 (1996): 1–44. http://dx.doi.org/10.1155/s1085337596000012.

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We study nonlinear semigroups of holomorphic mappings in Banach spaces and their infinitesimal generators. Using resolvents, we characterize, in particular, bounded holomorphic generators on bounded convex domains and obtain an analog of the Hille exponential formula. We then apply our results to the null point theory of semi-plus complete vector fields. We study the structure of null point sets and the spectral characteristics of null points, as well as their existence and uniqueness. A global version of the implicit function theorem and a discussion of some open problems are also included.
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10

Wlodarczyk, K. "Fixed Points and Invariant Domains of Expansive Holomorphic Maps in Complex Banach Spaces." Advances in Mathematics 110, no. 2 (1995): 247–54. http://dx.doi.org/10.1006/aima.1995.1010.

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Books on the topic "Banach spaces. Domains of holomorphy"

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Mujica, Jorge. Complex analysis in Banach spaces. Dover Publications, 2010.

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Mujica, Jorge. Complex analysis in Banach spaces. Dover Publications, 2010.

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3

Complex analysis in Banach spaces: Holomorphic functions and domains of holomorphy in finite and infinite dimensions. North-Holland, 1986.

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4

Introduction to holomorphy. North Holland, 1985.

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5

Verheul, E. R. Multimedians in metric and normed spaces. Centrum voor Wiskunde en Informatica, 1993.

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Integral representation theory: Applications to convexity, Banach spaces and potential theory. Walter de Gruyter, 2010.

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Bárcenas, Noé, and Monica Moreno Rocha. Mexican mathematicians abroad: Recent contributions : first workshop, Matematicos Mexicanos Jovenes en el Mundo, August 22-24, 2012, Centro de Investigacion en Matematicas, A.C., Guanajuato, Mexico. Edited by Galaz-García Fernando editor. American Mathematical Society, 2016.

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8

COMPLEX ANALYSIS IN BANACH SPACES. DOVER PUBLICATIONS INC, 2010.

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9

Complex Analysis in Banach Spaces - Holomorphic Functions and Domains of Holomorphy in Finite and Infinite Dimensions. Elsevier, 1986. http://dx.doi.org/10.1016/s0304-0208(08)x7050-1.

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10

Reich, Simeon. Nonlinear Semigroups, Fixed Points, And Geometry of Domains in Banach Spaces. Imperial College Press, 2005.

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Book chapters on the topic "Banach spaces. Domains of holomorphy"

1

Lanzani, Loredana, and Elias M. Stein. "Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness." In Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1). Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30961-3_11.

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Kogut, Peter I., and Günter R. Leugering. "Convergence Concepts in Variable Banach Spaces." In Optimal Control Problems for Partial Differential Equations on Reticulated Domains. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8149-4_6.

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Arazy, Jonathan. "An application of infinite dimensional holomorphy to the geometry of banach spaces." In Geometrical Aspects of Functional Analysis. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078141.

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Barton, Ariel, and Svitlana Mayboroda. "Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey." In Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1). Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30961-3_4.

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"Differentiable and Holomorphic Mappings in Banach Spaces." In Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2005. http://dx.doi.org/10.1142/9781860947148_0002.

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"Bounded symmetric domains." In Bounded Symmetric Domains in Banach Spaces. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811214110_0003.

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Vesentini, Edoardo. "Hyperbolic Domains in Banach Spaces and Banach Algebras." In North-Holland Mathematical Library. Elsevier, 1986. http://dx.doi.org/10.1016/s0924-6509(09)70296-x.

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"Geometry of Domains in Banach Spaces." In Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2005. http://dx.doi.org/10.1142/9781860947148_0010.

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"Introduction." In Bounded Symmetric Domains in Banach Spaces. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811214110_0001.

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"Jordan and Lie algebraic structures." In Bounded Symmetric Domains in Banach Spaces. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811214110_0002.

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