Norbert Ortner

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the completeness of the space $\mathcal{O}_C$	2024	Michael Kunzinger Norbert Ortner
+	Quasinormable Fréchet spaces and M. W. Wong’s inequality	2024	Eduard A. Nigsch Norbert Ortner
+ PDF Chat	Quasinormable Fr\'echet spaces and M. W. Wong's inequality	2024	Eduard A. Nigsch Norbert Ortner
+ PDF Chat	On some general integral formulae	2024	Norbert Ortner Peter Wagner
+	A distributional version of Frullani's integral	2023	Norbert Ortner Peter Wagner
+ PDF Chat	Projective descriptions of spaces of functions and distributions	2023	Christian Bargetz Eduard A. Nigsch Norbert Ortner
+	The distributional solutions of Kummer's differential equation	2022	Norbert Ortner Péter Wagner
+ PDF Chat	On the Green function of an orthotropic clamped plate in a half-plane	2021	Norbert Ortner Peter Wagner
+	Projective descriptions of spaces of functions and distributions	2021	Christian Bargetz Eduard A. Nigsch Norbert Ortner
+ PDF Chat	A simpler description of the κ‐topologies on the spaces DLp,Lp,M1	2020	Christian Bargetz Eduard A. Nigsch Norbert Ortner
+ PDF Chat	On the Weyl transform for rotationally invariant symbols	2019	Norbert Ortner Peter Wagner
+	Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems	2019	Michael Kunzinger Eduard A. Nigsch Norbert Ortner
+ PDF Chat	On the Fourier transform of rotationally invariant distributions	2018	Norbert Ortner Peter Wagner
+	Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems	2018	Michael Kunzinger Eduard A. Nigsch Norbert Ortner
+	Calculation of the propagator of Schrödinger’s equation on (0, ∞) with the potential <i>kx</i>−2 + <i>ω</i>2<i>x</i>2 by Laplace’s method	2018	Norbert Ortner Peter Wagner
+	Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems	2018	Michael Kunzinger Eduard A. Nigsch Norbert Ortner
+	Applications of ‐invariant distributions	2017	Norbert Ortner Peter Wagner
+ PDF Chat	Kernel identities and vectorial regularisation	2017	Christian Bargetz Norbert Ortner
+ PDF Chat	Convolvability and regularization of distributions	2017	Christian Bargetz Eduard A. Nigsch Norbert Ortner
+	The space $$\dot{\mathcal {B}}'$$ B ˙ ′ of distributions vanishing at infinity: duals of tensor products	2017	Eduard A. Nigsch Norbert Ortner
+	Fourier transformation of O(p,q)-invariant distributions. Fundamental solutions of ultra-hyperbolic operators	2016	Norbert Ortner Peter Wagner
+	A survey on duals of topological tensor products	2016	Eduard A. Nigsch Norbert Ortner
+	The space $\dot{\mathcal{B}}'$ of distributions vanishing at infinity - duals of tensor products	2016	Eduard A. Nigsch Norbert Ortner
+	A survey on duals of topological tensor products	2016	Eduard A. Nigsch Norbert Ortner
+	The space $\dot{\mathcal{B}}'$ of distributions vanishing at infinity - duals of tensor products	2016	Eduard A. Nigsch Norbert Ortner
+	Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice	2015	Norbert Ortner Peter Wagner
+	Distributions and Fundamental Solutions	2015	Norbert Ortner Peter Wagner
+	Fundamental Solutions of Linear Partial Differential Operators	2015	Norbert Ortner Peter Wagner
+	Quasihyperbolic Systems	2015	Norbert Ortner Peter Wagner
+	Solution to the Cauchy problem for quasi-hyperbolic systems by vector-valued convolution	2014	Christian Bargetz Norbert Ortner
+	On the spaces<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi mathvariant="script">O</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup></mml:math>of John Horváth	2014	Norbert Ortner Peter Wagner
+	Characterization of L. Schwartz’ convolutor and multiplier spaces $$\mathcal O _{C}'$$ O C ′ and $$\mathcal O _{M}$$ O M by the short-time Fourier transform	2013	Christian Bargetz Norbert Ortner
+	Explicit representations of L. Schwartz’ spaces<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">D</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow…	2013	Norbert Ortner Peter Wagner
+ PDF Chat	Convolution of vector-valued distributions: A survey and comparison	2013	Christian Bargetz Norbert Ortner
+	Fourier transforms in the “classical sense”, Schur spaces and a new formula for the Fourier transforms of slowly increasing,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-invariant functions	2012	Norbert Ortner
+	The Fourier exchange theorem for kernels	2010	Norbert Ortner
+	M. Rieszʼ kernels as boundary values of conjugate Poisson kernels	2010	Martha Guzmán–Partida Norbert Ortner Peter Wagner
+	On convolvability conditions for distributions	2009	Norbert Ortner
+	On Conical Refraction in Hexagonal and Cubic Media	2009	Norbert Ortner Peter Wagner
+	The fundamental matrix of the system of linear elastodynamics in hexagonal media. Solution to the problem of conical refraction	2007	Norbert Ortner Peter Wagner
+	On some contributions of John Horváth to the theory of distributions	2004	Norbert Ortner
+	Fundamental matrices of homogeneous hyperbolic systems. Applications to crystal optics, elastodynamics, and piezoelectromagnetism	2004	Norbert Ortner Peter Wagner
+	Deduction of L. Hörmander's extension of Ásgeirsson's mean value theorem	2003	Norbert Ortner Peter Wagner
+	Functional-Analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations	2001	H. Florian Wolfgang Tutschke Norbert Ortner Franz Schnitzer
+	Functional-analytic and complex methods, their interactions, and applications to partial differential equations : proceedings of the International Graz Workshop : Graz, Austria 12-16 February 2001	2001	H. Florian Norbert Ortner Franz Schnitzer Wolgang Tutschke
+	None	1997	Norbert Ortner Peter Wagner
+	A Series of Bessel Functions (Norbert Ortner and Peter Wagner)	1996	Robin Chapman Norbert Ortner Peter Wagner
+	Series, the Convergence of which Should be Interpreted in the Sense of L. Schwartz’s Distributions	1995	Norbert Ortner Peter Wagner
+	A Series of Bessel Functions	1995	Norbert Ortner Peter Wagner
+	Comments on the Solution of the Cauchy-Neumann Problem for the Diffusion Operator in an Infinite Strip	1995	Norbert Ortner
+	Fundamental solution of hyperbolic differential operators and the poisson summation formula	1993	Norbert Ortner Peter Wagner
+	On the fundamental solution of the operator of dynamic linear thermoelasticity	1992	Norbert Ortner Peter Wagner
+	Some new fundamental solutions	1990	Norbert Ortner Peter Wagner
+	Die Fundamentallösung des Timoshenko‐ und des Boussinesq‐Operators	1988	Norbert Ortner
+	Analytic continuation and convolution of hypersingular higher Hilbert-Riesz kernels	1987	J. Horváth Norbert Ortner Peter Wagner
+	Methods of Construction of Fundamental Solutions of Decomposable Linear Differential Operators (Invited contribution)	1987	Norbert Ortner
+	Fundamentallösungen und Existenz von schwachen Lösungen linearer partieller Differentialgleichungen mit konstanten Koeffizienten	1979	Norbert Ortner
+	The Value of a Definite Integral	1978	Norbert Ortner

Common Coauthors

Coauthor	Papers Together
Peter Wagner	27
Eduard A. Nigsch	14
Christian Bargetz	8
Michael Kunzinger	4
H. Florian	2
Franz Schnitzer	2
Robin Chapman	1
Péter Wagner	1
Martha Guzmán–Partida	1
Wolgang Tutschke	1
J. Horváth	1
Wolfgang Tutschke	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Théorie des distributions à valeurs vectorielles. I	1957	Laurent Schwartz	21
+	Topological vector spaces and distributions	1966	Juan Horváth	17
+	The analysis of linear partial differential operators	1990	Lars Hörmander	12
+	Lectures on mixed problems in partial differential equations and representations of semi-groups	1957	Laurent Schwartz	12
+	Espaces de fonctions différentiables a valeurs vectorielles	1954	Laurent Schwartz	11
+	Produits Tensoriels Topologiques Et Espaces Nucleaires	1966	Alexandre Grothendieck	11
+ PDF Chat	Théorie des distributions à valeurs vectorielles. II	1958	Laurent Schwartz	10
+	Introduction to the theory of distributions	1982	F. G. Friedlander	9
+ PDF Chat	Locally Convex Spaces	1981	Hans Jarchow	9
+	On convolvability conditions for distributions	2009	Norbert Ortner	8
+	Fundamental Solutions of Linear Partial Differential Operators	2015	Norbert Ortner Peter Wagner	8
+	Linear Partial Differential Equations with Constant Coefficients	1994	Alexander Komech	7
+	On partial summability and convolutions in the theory of vector-valued distributions	1960	Yukio Hirata Risai Shiraishi	7
+	Basic Linear Partial Differential Equations	1975	François Trèves	7
+	Linear Partial Differential Operators	1963	Lars Hörmander	7
+	Topological Vector Spaces.	1967	M. S. Ramanujan Helmut Schaefer	7
+	Introduction to the Theory of Distributions	1997	J. Campos Ferreira Joaquim Sousa Pinto R.F. Hoskins	6
+	<i>Integrals and Series</i>	1988	A. P. Prudnikov Yu. A. Brychkov O. I. Marichev Robert H. Romer	6
+	The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis	1983	Lars Hörmander Lars Hörmander	6
+	Topological vector spaces, distributions and kernels	2006	François Trèves	6
+ PDF Chat	Lacunas for hyperbolic differential operators with constant coefficients I	1970	Michael Atiyah R. Bott Lars Gårding	6
+ PDF Chat	On the division of distributions by polynomials	1958	Lars Hörmander	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+	Generalized functions and partial differential equations	1968	Georgiĭ Evgenʹevich Shilov Bernard D. Seckler	5
+	Linear Partial Differential Operators	1969	Lars Hörmander	5
+	Completing the Valdivia–Vogt tables of sequence-space representations of spaces of smooth functions and distributions	2014	Christian Bargetz	5
+	Vorlesungen über die Mechanik der Kontinua	1985	Gustav Herglotz	5
+	Table of Integrals, Series, and Products	1980		5
+ PDF Chat	Transformation de Fourier des distributions homogènes	1961	Lars Gårding	4
+	On the fundamental solutions of a class of elliptic quartic operators in dimension 3	2002	Peter Wagner	4
+	Tables of Bessel Transforms	1972	Fritz Oberhettinger	4
+	Introduction to Partial Differential Equations	1949	Gerald B. Folland	4
+	Composition of hypersingular integral operators	1978	J. I. Horváth	4
+ PDF Chat	Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity	2013	Julian Larcher	4
+ PDF Chat	Topological properties of the dual pair ⟨ℬ(Ω)<sup>′</sup><i>,</i>ℬ(Ω)<sup>′′</sup>⟩	1983	Peter Dierolf Susanne Dierolf	4
+	A representation of the space $$\mathcal{O}_M $$	1981	Manuel Valdivia	4
+	Some new fundamental solutions	1990	Norbert Ortner Peter Wagner	4
+	On the Exchange Formula for Distributions	1958	Yukio Hirata Hayao Ogata	4
+ PDF Chat	Produits tensoriels topologiques et espaces nucléaires	1955	Alexandre Grothendieck	4
+	Distributions and convolution equations	1992	Семен Григорьевич Гиндикин L. R. Volevich	4
+ PDF Chat	Local and global properties of fundamental solutions	1957	Lars Hörmander	3
+	On the fundamental solution of the operator of dynamic linear thermoelasticity	1992	Norbert Ortner Peter Wagner	3
+	Fourier transformation of O(p,q)-invariant distributions. Fundamental solutions of ultra-hyperbolic operators	2016	Norbert Ortner Peter Wagner	3
+	Distributions, analyse de Fourier, opérateurs aux dérivées partielles	1972	Khac Khoan Vo	3
+	1. Espaces vectoriels topologiques	2023	Alexandre Grothendieck	3
+	The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients	1983	Lars Hörmander	3
+ PDF Chat	Convolution of vector-valued distributions: A survey and comparison	2013	Christian Bargetz Norbert Ortner	3
+	The Cauchy Problem	1991	Simon Gindikin L. R. Volevich	3
+ PDF Chat	A projective description of weighted inductive limits	1982	Klaus-D. Bierstedt Reinhold Meise W. H. Summers	3
+ PDF Chat	The fundamental solution of the time-dependent system of crystal optics	2006	Robert Burridge J. QIAN	3