Global Representatives of Colombeau Holomorphic Generalized Functions

Michael Oberguggenberger, Stevan Pilipović, Vincent Valmorin

Type: Article

Publication Date: 2006-08-10

Citations: 21

DOI: https://doi.org/10.1007/s00605-006-0416-6

View Publication

Locations

Monatshefte für Mathematik - View
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	Global properties of holomorphic functions	2004
+	Generalized holomorphic structures	2011	Yicao Wang
+	Homogeneous generalized holomorphic structures	2015	Yicao Wang
+	Commutators Generated by Littlewood-Paley $g_{\lambda}^*$ Function and Local Campanato Functions on Generalized Local Morrey Spaces	2019	Huixia Mo Rui-qing Ma
+	Generalized theta functions for holomorphic triples	2015	Quyet Thang Truong
+	Colombeau’s Theory of Generalized Functions	2001	Michael Grosser Michael Kunzinger Michael Oberguggenberger Roland Steinbauer
+	Generalized Abel-Gončarov bases in spaces of holomorphic functions	1979	Friedrich Haslinger
+ PDF Chat	Generalized holomorphic Cartan geometries	2019	Indranil Biswas Sorin Dumitrescu
+	Local holomorphic extension of Cauchy Riemann functions	2017	Brijitta Antony
+	Universal holomorphic and harmonic functions with additional properties	2004	M. C. Calderón-Moreno Jürgen Müller
+	Local properties of holomorphic functions	2004
+	Intrinsic definition of the Colombeau algebra of generalized functions	1991	J. Aragona H. A. Biagioni
+ PDF Chat	Holomorphic Functions in Generalized Cayley-Dickson Algebras	2014	Cristina Flaut Vitalii Shpakivskyi
+	A note on holomorphic generalized eta quotient	2022	Rishabh Agnihotri Lalit Vaishya
+	Localization of global existence of holomorphic exact forms with complex parameters	1983	壌二梶原聖子大貝 Joji Kajiwara Seiko Ohgai
+	Coefficients of Clebsch-Gordan for the holomorphic discrete series	1979	Eugène Gutkin
+	Generalized Holomorphic Functions: Sketches of a New Theory	2024	Sekar Nugraheni Paolo Giordano
+	COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS	1997	Rolf Wallisser
+	Special classes of holomorphic functions	2006	Robert Greene Steven G. Krantz
+	Local monomialization of generalized analytic functions	2012	Rafael Martín Villaverde Jean-Philippe Rolin Fernando Sanz

Works That Cite This (19)

Action	Title	Year	Authors
+	Zeros of Generalized Holomorphic Functions	2006	Anatole Khélif Dimitris Scarpalézos
+	Examples of new nonstandard hulls of topological vector spaces	2017	Adel Khalfallah Siegmund Kosarew
+	Algebraic theory of Colombeauʼs generalized numbers	2013	J. Aragona Antônio Ronaldo Gomes Garcia S. O. Juriaans
+	An approach to generalized holomorphic functions	2011	Marcelo Reicher Soares
+ PDF Chat	Sequence spaces with exponent weights. Realizations of Colombeau type algebras	2007	Antoine Delcroix Maximilian F. Hasler Stevan Pilipović Vincent Valmorin
+ PDF Chat	Differential calculus and integration of generalized functions over membranes	2010	J. Aragona R. Fernandez S. O. Juriaans Michael Oberguggenberger
+	On extension theorems for holomorphic generalized functions	2009	Marcelo Reicher Soares
+ PDF Chat	Vanishing Theorems in Colombeau Algebras of Generalized Functions	2008	Vincent Valmorin
+	Some results on holomorphic generalized functions	2011	J. Aragona
+	Harmonic generalized functions in generalized function algebras	2009	Stevan Pilipović Dimitris Scarpalézos

Works Cited by This (16)

Action	Title	Year	Authors
+	An Introduction to Sato's Hyperfunctions	1993	Mitsuo Morimoto
+	Multiplication of Distributions and Applications to Partial Differential Equations	1992	Michael Oberguggenberger
+	Differential operators with constant coefficients	2005	Lars Hörmander
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	New Generalized Functions and Multiplication of Distributions	1984	J. F. Colombeau
+	Elementary Introduction to New Generalized Functions	1985	J. F. Colombeau
+ PDF Chat	Generalized Hyperfunctions and Algebra of Megafunctions	2005	Stevan Pilipović
+ PDF Chat	A short proof of the Arens-Eells embedding theorem	1964	E. Michael
+	Holomorphic generalized functions	1984	J. F. Colombeau Jośe E. Galé
+	On Existence Theorems for the ∂¯ Operator on Generalized Differential Forms	1986	J. Aragona