J. F. Colombeau

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All published works

Action	Title	Year	Authors
+	Convolution Equations in Spaces of Polynomials on Locally Convex Spaces	2020	J. F. Colombeau B. Perrot
+	Generalized solutions of the multidimensional stochastic Burgers equation	2018	Pedro Catuogno J. F. Colombeau Christian Olivera
+	Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities	2018	J. Aragona Pedro Catuogno J. F. Colombeau S. O. Juriaans Christian Olivera
+ PDF Chat	Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities	2018	J. F. Colombeau J. Aragona Pedro Catuogno S. O. Juriaans Christian Olivera
+	Multiplication of Distributions in Mathematical Physics	2016	J. Aragona Pedro Catuogno J. F. Colombeau S. O. Juriaans Ch. Olivera
+ PDF Chat	Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context	2015	J. Aragona S. O. Juriaans J. F. Colombeau
+	Weak assymptotic solutions for the stochastic Burgers equation	2015	Pedro Catuogno J. F. Colombeau Christian Olivera
+	Generalized solutions of the stochastic Burgers equation	2015	Pedro Catuogno J. F. Colombeau Christian Olivera
+	Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model	2014	J. Aragona J. F. Colombeau S. O. Juriaans
+	Nonlinear Generalized Functions: their origin, some developments and recent advances	2014	J. F. Colombeau
+	Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context	2014	J. Aragona J. F. Colombeau S. O. Juriaans
+	Nonlinear Generalized Functions: their origin, some developments and recent advances	2013	J. F. Colombeau
+	Topics on nonlinear generalized functions	2011	J. F. Colombeau
+	Approximate generalized solutions and measure-valued solutions to conservation laws	2009	J. Aleksić J. F. Colombeau Michael Oberguggenberger Stevan Pilipović
+	Nonlinear generalized functions and nonlinear numerical simulations in fluid and solid continuum mechanics	2007	J. F. Colombeau
+	Mathematical problems on generalized functions and the canonical Hamiltonian formalism	2007	J. F. Colombeau
+	Sur les applications G-analytiques et analytiques en dimension infinie	2006	J. F. Colombeau
+	Composition and exponential of compactly supported generalized integral operators	2006	Séverine Bernard J. F. Colombeau Antoine Delcroix
+	Generalized functions as a tool for nonsmooth nonlinear problems in mathematics and physics	2006	J. F. Colombeau
+	Conservation Laws with Discontinuous Coefficients	2001	Séverine Bernard J. F. Colombeau Alex Méril Lakhdar Remaki
+	Generalized solutions to partial differential equations of evolution type	1996	J. F. Colombeau Arnaud Heibig Michael Oberguggenberger
+	Generalized Functions and Multiplication of Distributions on C∞ Manifolds	1994	J. F. Colombeau Alex Méril
+	Multiplication of Distributions and Applications to Partial Differential Equations (M. Oberguggenberger)	1994	J. F. Colombeau
+	Generalized solutions to Cauchy problems	1994	J. F. Colombeau Arnaud Heibig
+	Multiplication of Distributions: A Tool in Mathematics, Numerical Engineering and Theoretical Physics	1993	J. F. Colombeau
+	Nonconservative Products in Bounded Variation Functions	1992	J. F. Colombeau Arnaud Heibig
+ PDF Chat	Multiplication of Distributions	1992	J. F. Colombeau
+	Introduction to generalized functions and distributions	1992	J. F. Colombeau
+	Jump formulas for systems in nonconservative form. New numerical methods	1992	J. F. Colombeau
+	The abstract theory of generalized functions	1992	J. F. Colombeau
+	UNE MÉTHODE NUMÉRIQUE DE RÉSOLUTION DES ÉQUATIONS DE L'ACOUSTIQUE DANS UN MILIEU À CARACTÉRISTIQUES C<sup>∞</sup> PAR MORCEAUX	1990	J. F. Colombeau J. LAURENS B. Perrot
+	On a hyperbolic system with a compatible quadratic	1990	J. F. Colombeau Michael Oberguggenberger
+	Generalized solutions of nonlinear parabolic equations with distributions as initial conditions	1990	J. F. Colombeau Michel Langlais
+	Convergence of numerical schemes involving powers of the Dirac delta function	1990	M Adamczewski J. F. Colombeau A. Roux
+ PDF Chat	Multiplication of distributions	1990	J. F. Colombeau
+	Microscopic Profiles of Shock Waves and Ambiguities in Multiplications of Distributions	1989	J. F. Colombeau A. Roux A. Noussair B. Perrot
+	Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations	1989	J.J Cauret J. F. Colombeau A. Roux
+	Review: Elemér E. Rosinger, Generalized solutions of nonlinear partial differential equations	1989	J. F. Colombeau
+ PDF Chat	Book Review: Generalized solutions of nonlinear partial differential equations	1989	J. F. Colombeau
+	Analytic continuation of generalized functions	1988	J. F. Colombeau Jośe E. Galé
+	Multiplications of distributions in elasticity and hydrodynamics	1988	J. F. Colombeau A. Roux
+	Generalized Functions; Multiplication of Distributions; Applications to Elasticity, Elastoplasticity, Fluid Dynamics and Acoustics	1988	J. F. Colombeau
+ PDF Chat	The interpolation theorem for holomorphic generalized functions	1988	J. Aragona J. F. Colombeau
+	Whitney's extension theorem for generalized functions	1986	H. A. Biagioni J. F. Colombeau
+	New Generalized Functions and C<sup>∞</sup> Functions with Values in Generalized Complex Numbers	1986	H. A. Biagioni J. F. Colombeau
+	A New Theory of Generalized Functions	1986	J. F. Colombeau
+	Some Aspects of Infinite-Dimensional Holomorphy in Mathematical Physics	1986	J. F. Colombeau
+	On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces	1986	J. F. Colombeau Otilia Terezinha Wiermann Paques
+	On the ∂-Neumann problem for generalized functions	1985	J. Aragona J. F. Colombeau
+	Elementary Introduction to New Generalized Functions	1985	J. F. Colombeau
+	Holomorphic generalized functions	1984	J. F. Colombeau Jośe E. Galé
+	New Generalized Functions and Multiplication of Distributions	1984	J. F. Colombeau
+	A multiplication of distributions	1983	J. F. Colombeau
+	Structure of spaces ofC ∞-functions on nuclear spaces	1983	J. F. Colombeau Otilia Terezinha Wiermann Paques
+	New generalized functions multiplication of distributions physical applications contribution of J. Sebastiao e Silva	1982	J. F. Colombeau
+	An infinite dimensional version of the Paley-Wiener-Schwartz isomorphism	1982	J. F. Colombeau Socorro Ponte
+	Convolution Equations in Infinite Dimenstions: Brief Survey, New Results and Proofs	1982	J. F. Colombeau Mário C. Matos
+	Finite-Difference Partial Differential Equations in Normed and Locally Convex Spaces	1982	J. F. Colombeau Otília W. Paques
+	Differential Calculus and Holomorphy - Real and complex analysis in locally convex spaces	1982	J. F. Colombeau
+ PDF Chat	On some spaces of entire functions defined on infinite-dimensional spaces	1981	J. F. Colombeau Mário Matos
+ PDF Chat	Division by Holomorphic Functions and Convolution Equations in Infinite Dimension	1981	J. F. Colombeau R. Gay B. Perrot
+ PDF Chat	Division by holomorphic functions and convolution equations in infinite dimension	1981	J. F. Colombeau Roger Gay B. Perrot
+	On the solvability of differential equations of infinite order in non-metrizable spaces	1981	J. F. Colombeau B. Perrot Thomas A. Dwyer
+	Existence of holomorphic mappings with prescribed asymptotic expansions at a given set of points in infinite dimensions	1981	J. F. Colombeau Jorge Mújica
+	The Paley-Wiener-Schwartz isomorphism in nuclear spaces	1981	José María M. Ansemil J. F. Colombeau
+	The fourier-borel transform in infinitely many dimensions and applications	1981	J. F. Colombeau B. Perrot
+	The ∂̄ equation in DFN spaces	1980	J. F. Colombeau B. Perrot
+	A Remark on Equations $y'' + p_1 y' + p_2 y = 0$ at an Irregular Singular Point	1980	J. F. Colombeau Alex Méril
+	Convolution Equations in Spaces of Infinite Dimensional Entire Functions of Exponential and Related Types	1980	J. F. Colombeau B. Perrot
+	Convolution equations in spaces of infinite dimensional entire functions	1980	J. F. Colombeau Mário C. Matos
+ PDF Chat	Convolution equations in spaces of infinite-dimensional entire functions of exponential and related types	1980	J. F. Colombeau B. Perrot
+	Holomorphy in locally convex spaces and operators on the Fock spaces	1980	J. F. Colombeau
+	Holomorphic maps with a given asymptotic expansion at a boundary point	1979	J. F. Colombeau
+ PDF Chat	A density result in spaces of Silva holomorphic mappings	1979	J. F. Colombeau Reinhold Meise B. Perrot
+	Infinite dimensional C∞ mappings with a given sequence of derivatives at a given point	1979	J. F. Colombeau
+	Infinite Dimensional Holomorphic “Normal Forms” of Operators on the Fock Spaces of Boson Fields and an Extension of the Concept of Wick Product	1979	J. F. Colombeau B. Perrot
+	A Result of Existence of Holomorphic Maps Which Admit a Given Asymptotic Expansion	1979	J. F. Colombeau
+	On some various notions of infinite dimensional holomorphy	1974	J. F. Colombeau

Common Coauthors

Coauthor	Papers Together
B. Perrot	10
J. Aragona	8
S. O. Juriaans	6
Pedro Catuogno	6
Christian Olivera	5
A. Roux	4
Arnaud Heibig	3
Michael Oberguggenberger	3
Alex Méril	3
H. A. Biagioni	2
Jośe E. Galé	2
B. Perrot	2
Otilia Terezinha Wiermann Paques	2
Séverine Bernard	2
Mário C. Matos	2
Reinhold Meise	1
José María M. Ansemil	1
Mário Matos	1
Michel Langlais	1
J. LAURENS	1
R. Gay	1
J.J Cauret	1
J. Aleksić	1
Antoine Delcroix	1
Lakhdar Remaki	1
Ch. Olivera	1
Socorro Ponte	1
Roger Gay	1
A. Noussair	1
Thomas A. Dwyer	1
Stevan Pilipović	1
Jorge Mújica	1
Otília W. Paques	1
M Adamczewski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Elementary Introduction to New Generalized Functions	1985	J. F. Colombeau	26
+	New Generalized Functions and Multiplication of Distributions	1984	J. F. Colombeau	24
+ PDF Chat	A Nonlinear Theory of Generalized Functions	1990	Hebe de Azevedo Biagioni	18
+	Multiplications of distributions in elasticity and hydrodynamics	1988	J. F. Colombeau A. Roux	14
+ PDF Chat	Multiplication of Distributions	1992	J. F. Colombeau	14
+ PDF Chat	The elastoplastic shock problem as an example of the resolution of ambiguities in the multiplication of distributions	1989	Jean-François Colombeau	12
+	A multiplication of distributions	1983	J. F. Colombeau	12
+	Generalized Solutions of Nonlinear Partial Differential Equations	1987	Elemér E Rosinger	11
+	Geometric Theory of Generalized Functions with Applications to General Relativity	2001	Michael Grosser Michael Kunzinger Michael Oberguggenberger Roland Steinbauer	11
+	Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations	1989	J.J Cauret J. F. Colombeau A. Roux	9
+	Microscopic Profiles of Shock Waves and Ambiguities in Multiplications of Distributions	1989	J. F. Colombeau A. Roux A. Noussair B. Perrot	9
+	Malgrange theorem for entire functions on nuclear spaces	1974	Philip J. Boland	8
+ PDF Chat	The use of generalized functions and distributions in general relativity	2006	Roland Steinbauer James Vickers	8
+ PDF Chat	A density result in spaces of Silva holomorphic mappings	1979	J. F. Colombeau Reinhold Meise B. Perrot	7
+	Generalized solutions to semilinear hyperbolic systems	1987	Michael Oberguggenberger	7
+ PDF Chat	Multiplication of distributions	1990	J. F. Colombeau	6
+	Multiplication of Distributions and Applications to Partial Differential Equations	1992	Michael Oberguggenberger	6
+	Intrinsic definition of the Colombeau algebra of generalized functions	1991	J. Aragona H. A. Biagioni	6
+	Generalized solutions of nonlinear parabolic equations with distributions as initial conditions	1990	J. F. Colombeau Michel Langlais	6
+	Topology on Spaces of Holomorphic Mappings	1969	Léopoldo Nachbin	5
+	Convergence of numerical schemes involving powers of the Dirac delta function	1990	M Adamczewski J. F. Colombeau A. Roux	5
+	The fourier-borel transform in infinitely many dimensions and applications	1981	J. F. Colombeau B. Perrot	5
+ PDF Chat	Differential calculus and integration of generalized functions over membranes	2010	J. Aragona R. Fernandez S. O. Juriaans Michael Oberguggenberger	5
+ PDF Chat	Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II	2004	Dimitris Scarpalézos	5
+	The linear theory of Colombeau generalized functions	1998	Marko Nedeljkov Stevan Pilipović Dimitris Scarpalézos	5
+	Nuclear Locally Convex Spaces	1972	Albrecht Pietsch	5
+	Nuclear Locally Convex Spaces	1972	Albrecht Pietsch	5
+	Differential Calculus and Holomorphy - Real and complex analysis in locally convex spaces	1982	J. F. Colombeau	5
+	On some various notions of infinite dimensional holomorphy	1974	J. F. Colombeau	5
+	Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics	1989	Michael Oberguggenberger	5
+	Multiplication of Distributions: A Tool in Mathematics, Numerical Engineering and Theoretical Physics	1993	J. F. Colombeau	5
+ PDF Chat	Holomorphic functions on nuclear spaces	1975	Philip J. Boland	4
+	Whitney's extension theorem for generalized functions	1986	H. A. Biagioni J. F. Colombeau	4
+	Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model	2014	J. Aragona J. F. Colombeau S. O. Juriaans	4
+	Introduction to a nonlinear theory of generalized functions	1988	H. A. Biagioni	4
+	Introduction to Complex Analysis in Several Variables	2005	Volker Scheidemann	4
+ PDF Chat	Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data	2009	J. Aragona Antônio Ronaldo Gomes Garcia S. O. Juriaans	4
+	Distributional geometry in general relativity	2011	James Vickers	4
+ PDF Chat	Holomorphic Functions on Nuclear Spaces	1975	Philip J. Boland	4
+	New generalized functions multiplication of distributions physical applications contribution of J. Sebastiao e Silva	1982	J. F. Colombeau	4
+	Convolution equations in spaces of infinite dimensional entire functions	1980	J. F. Colombeau Mário C. Matos	4
+	Measure-valued solutions to conservation laws	1985	Ronald J. DiPerna	4
+	A Discontinuous Colombeau Differential Calculus	2004	J. Aragona R. Fernandez S. O. Juriaans	4
+	Holomorphic generalized functions	1984	J. F. Colombeau Jośe E. Galé	4
+	A Version of the Paley-Wiener-Schwartz Theorem in Infinite Dimensions	1979	Teófilo Abuabara	4
+	Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case	1991	F. Lafon Michael Oberguggenberger	4
+	Infinite Dimensional Holomorphic “Normal Forms” of Operators on the Fock Spaces of Boson Fields and an Extension of the Concept of Wick Product	1979	J. F. Colombeau B. Perrot	4
+	A New Theory of Generalized Functions	1986	J. F. Colombeau	4
+	The sharp topology on the full Colombeau algebra of generalized functions	2006	J. Aragona R. Fernandez S. O. Juriaans	4
+	Nonlinear Partial Differential Equations - Sequential and Weak Solutions	1980	Elemér E Rosinger	4