# zbMATH — the first resource for mathematics

## Kurusa, Árpád

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 Author ID: kurusa.arpad Published as: Kurusa, Arpád; Kurusa, Á.; Kurusa, Árpád Homepage: http://www.math.u-szeged.hu/tagok/kurusa/ External Links: MGP · Wikidata · ORCID · ResearchGate
 Documents Indexed: 40 Publications since 1990
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#### Co-Authors

 30 single-authored 3 Kozma, József 2 Ódor, Tibor 2 Vígh, Viktor 1 Berenstein, Carlos Alberto 1 Casadio Tarabusi, Enrico 1 Czédli, Gábor 1 Fodor, Ferenc 1 Kincses, János 1 Zsolt, Lángi
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#### Serials

 6 Beiträge zur Algebra und Geometrie 5 Journal of Geometry 4 Acta Scientiarum Mathematicarum 3 Geometriae Dedicata 2 Archiv der Mathematik 2 Proceedings of the American Mathematical Society 2 Mathematica Balkanica. New Series 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Mathematica Scandinavica 1 Publicationes Mathematicae 1 Acta Mathematica Hungarica 1 Radovi Matematički 1 Discrete & Computational Geometry 1 Aequationes Mathematicae 1 Advances in Geometry 1 Mediterranean Journal of Mathematics 1 International Electronic Journal of Geometry 1 International Journal of Geometry 1 Categories and General Algebraic Structures with Applications
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#### Fields

 20 Convex and discrete geometry (52-XX) 18 Integral transforms, operational calculus (44-XX) 12 Differential geometry (53-XX) 9 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

24 Publications have been cited 86 times in 44 Documents Cited by Year
Support theorems for totally geodesic Radon transforms on constant curvature spaces. Zbl 0852.44001
Kurusa, Árpád
1994
Radon transform on spaces of constant curvature. Zbl 0860.44003
Berenstein, Carlos A.; Tarabusi, Enrico Casadio; Kurusa, Árpád
1997
Can you recognize the shape of a figure from its shadows? Zbl 0828.52001
Kincses, J.; Kurusa, Á.
1995
The Radon transform on hyperbolic space. Zbl 0803.44002
Kurusa, Á.
1991
The invertibility of the Radon transform on abstract rotational manifolds of real type. Zbl 0755.44004
Kurusa, Árpád
1992
Inequalities for hyperconvex sets. Zbl 1386.52005
Fodor, Ferenc; Kurusa, Árpád; Vígh, Viktor
2016
You can recognize the shape of a figure from its shadows! Zbl 0846.52001
Kurusa, Árpád
1996
Is a convex plane body determined by an isoptic? Zbl 1235.52005
Kurusa, Árpád
2012
The shadow picture problem for nonintersecting curves. Zbl 0846.52002
Kurusa, Árpád
1996
Can you see the bubbles in a foam? Zbl 1399.52006
Kurusa, Árpád
2016
Ceva’s and Menelaus’ theorems characterize the hyperbolic geometry among Hilbert geometries. Zbl 06516363
Kozma, József; Kurusa, Árpád
2015
Isoptic characterization of spheres. Zbl 1320.52009
Kurusa, Árpád; Ódor, Tibor
2015
Visual distinguishability of segments. Zbl 1308.52005
Kurusa, Árpád
2013
A characterization of the Radon transform and its dual on Euclidean space. Zbl 0732.44001
Kurusa, Á.
1990
Characterizations of balls by sections and caps. Zbl 1330.52013
Kurusa, Árpád; Ódor, Tibor
2015
Visual distinguishability of polygons. Zbl 1279.52004
Kurusa, Árpád
2013
Orbital integrals on the Lorentz space of curvature $$-1$$. Zbl 0970.44002
Kurusa, Árpád
2000
The Radon transform on half sphere. Zbl 0792.44003
Kurusa, Árpád
1993
A characterization of the Radon transform’s range by a system of PDEs. Zbl 0754.44001
Kurusa, Á.
1991
Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally. Zbl 1336.53022
Kozma, József; Kurusa, Árpád
2016
The shadow picture problem for parallel straight lines. Zbl 1266.52005
Kurusa, Árpád
2012
The totally geodesic Radon transform on the Lorentz space of curvarture $$-1$$. Zbl 0872.44003
Kurusa, Árpád
1997
Generalized $$X$$-ray pictures. Zbl 1274.52005
Kurusa, Árpád
1996
Support curves of invertible Radon transforms. Zbl 0783.44001
Kurusa, Árpád
1993
Inequalities for hyperconvex sets. Zbl 1386.52005
Fodor, Ferenc; Kurusa, Árpád; Vígh, Viktor
2016
Can you see the bubbles in a foam? Zbl 1399.52006
Kurusa, Árpád
2016
Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally. Zbl 1336.53022
Kozma, József; Kurusa, Árpád
2016
Ceva’s and Menelaus’ theorems characterize the hyperbolic geometry among Hilbert geometries. Zbl 06516363
Kozma, József; Kurusa, Árpád
2015
Isoptic characterization of spheres. Zbl 1320.52009
Kurusa, Árpád; Ódor, Tibor
2015
Characterizations of balls by sections and caps. Zbl 1330.52013
Kurusa, Árpád; Ódor, Tibor
2015
Visual distinguishability of segments. Zbl 1308.52005
Kurusa, Árpád
2013
Visual distinguishability of polygons. Zbl 1279.52004
Kurusa, Árpád
2013
Is a convex plane body determined by an isoptic? Zbl 1235.52005
Kurusa, Árpád
2012
The shadow picture problem for parallel straight lines. Zbl 1266.52005
Kurusa, Árpád
2012
Orbital integrals on the Lorentz space of curvature $$-1$$. Zbl 0970.44002
Kurusa, Árpád
2000
Radon transform on spaces of constant curvature. Zbl 0860.44003
Berenstein, Carlos A.; Tarabusi, Enrico Casadio; Kurusa, Árpád
1997
The totally geodesic Radon transform on the Lorentz space of curvarture $$-1$$. Zbl 0872.44003
Kurusa, Árpád
1997
You can recognize the shape of a figure from its shadows! Zbl 0846.52001
Kurusa, Árpád
1996
The shadow picture problem for nonintersecting curves. Zbl 0846.52002
Kurusa, Árpád
1996
Generalized $$X$$-ray pictures. Zbl 1274.52005
Kurusa, Árpád
1996
Can you recognize the shape of a figure from its shadows? Zbl 0828.52001
Kincses, J.; Kurusa, Á.
1995
Support theorems for totally geodesic Radon transforms on constant curvature spaces. Zbl 0852.44001
Kurusa, Árpád
1994
The Radon transform on half sphere. Zbl 0792.44003
Kurusa, Árpád
1993
Support curves of invertible Radon transforms. Zbl 0783.44001
Kurusa, Árpád
1993
The invertibility of the Radon transform on abstract rotational manifolds of real type. Zbl 0755.44004
Kurusa, Árpád
1992
The Radon transform on hyperbolic space. Zbl 0803.44002
Kurusa, Á.
1991
A characterization of the Radon transform’s range by a system of PDEs. Zbl 0754.44001
Kurusa, Á.
1991
A characterization of the Radon transform and its dual on Euclidean space. Zbl 0732.44001
Kurusa, Á.
1990
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#### Cited by 47 Authors

 13 Kurusa, Árpád 8 Rubin, Boris 2 Bezdek, Károly 2 Ishikawa, Satoshi 2 Kozma, József 2 Ódor, Tibor 2 Vígh, Viktor 1 Al-Omari, Shrideh Khalaf Qasem 1 Bal, Guillaume 1 Bray, William O. 1 Carroll, Emily 1 Castro, Jesús Jerónimo 1 Chernov, Roman 1 Drach, Kostiantyn 1 Estrada, Ricardo 1 Faulkner, Thomas 1 Fodor, Ferenc 1 García-Jiménez, Magdalena 1 Ghosh, Arka Prasanna 1 González-Arreola, Edgar 1 Guica, Monica 1 Hartman, Thomas E. 1 Kiliçman, Adem 1 Kincses, János 1 Krishnan, Venkateswaran P. 1 Lukacs, Peter 1 Michalska, Małgorzata 1 Mikkonen, Yrjö 1 Mozgawa, Witold 1 Myers, Robert C. 1 Myroshnychenko, Sergii 1 Naszódi, Márton 1 Nguyen Viet Linh 1 Nguyen, Xuan Hien 1 Palamodov, Victor Pavlovitch 1 Quinto, Eric Todd 1 Roitershtein, Alexander 1 Roopkumar, Rajakumar 1 Rouvière, François 1 Savost’yanova, Irina Mikhaĭlovna 1 Tatarko, Kateryna 1 Van Raamsdonk, Mark 1 Volchkov, Valeriĭ Vladimirovich 1 Volchkov, Vitaliĭ Vladimirovich 1 Yaskin, Vladyslav 1 Zhang, Ning 1 Zsolt, Lángi
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#### Cited in 27 Serials

 5 Beiträge zur Algebra und Geometrie 4 Advances in Mathematics 4 Discrete & Computational Geometry 3 Journal of Geometry 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 The Journal of Fourier Analysis and Applications 1 International Journal of General Systems 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applied and Computational Harmonic Analysis 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Journal for Geometry and Graphics 1 Journal of High Energy Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 International Electronic Journal of Geometry 1 Analysis and Mathematical Physics
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#### Cited in 22 Fields

 19 Integral transforms, operational calculus (44-XX) 19 Convex and discrete geometry (52-XX) 10 Differential geometry (53-XX) 5 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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