Gergely Kiss's recent papers
Linear functional equations, spectral analysis and synthesis on Abelian groups
- Linear functional equations with algebraic parameters, Publ. Math. Debrecen 85, (2014), no.1-2
(pdf-file)
- Existence of nontrivial solutions of linear functional equations,
(with A. Varga)
Aequat. Math. 88, (2013), 151-162.
(pdf-file)
- Linear functional equations, differential operators
and spectral synthesis, (with M. Laczkovich)
Aequat. Math. 89 (2), (2015), 301-328.
(pdf-file)
- Algebraic methods for the solution of linear
functional equations, (with A. Varga, Cs. Vincze)
Acta Math. Hungar. 146 (1), (2015), 128-141.
(pdf-file)
- Linear functional equations (Ph. D. abstract), Annales Univ. Sci. Budapest, 58 (2015), 125-132.
(pdf-file)
- On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations, (with Cs. Vincze)
Aequat. Math. 91 (4), (2017), 663-690.
(pdf-file)
- On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations, (with Cs. Vincze)
Aequat. Math. 91 (4), (2017), 691-723.
(pdf-file)
- The discrete Pompeiu problem on the plane, (with M. Laczkovich, Cs. Vincze)
Monatshefte für Matematik 186, 299-314, (2018) (pdf-file)
- On functional equations characterizing derivations: methods and examples, (with E. Gselmann, Cs. Vincze)
Results in Mathematics volume 73, Article number: 74 (2018) (pdf-file)
- Derivations and differential operators on rings and fields, (with M. Laczkovich) Annales Universitatis Scientiarum Budapestinensis
de Rolando Eötvös Nominatae. Sectio Computatorica 48, 31-43, (2018)(pdf-file)
- Characterization of field homomorphisms through Pexiderized functional equations, (with E. Gselmann, Cs. Vincze)
Journal of Difference Equations and Applications 25 no.12, 1645-1679,(2019) (pdf-file)
- On a class of linear functional equations without range condition
(with E. Gselmann, Cs. Vincze
Aequationes mathematicae 94, 473-509,(2020)(pdf-file)
- Remarks on the notion of homo-derivations
(with E. Gselmann)
Annales Universitatis Scientiarum Budapestinensis
de Rolando Eötvös Nominatae. Sectio Computatorica 51, 111-130,(2020)(pdf-file)
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Separately Polynomial functions,
(with M. Laczkovich),
accepted at Monathshefte fur Mathematik. (pdf-file)
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Translation invariant linear spaces of polynomials
(with M. Laczkovich), submitted,
ArXiv preprint arXiv:2108.08817. (pdf-file)
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Characterization of quasi-arithmetic means without regularity condition
(with P Burai, P Szokol),
accepted at Acta Math. Hung., ArXiv preprint arXiv:2107.07391. (pdf-file)
Decomposition problems
- Decomposition of balls into finitely many pieces, (with M. Laczkovich)
Mathematika 57,(2011), no.1, 89-107.
(pdf-file)
- Decomposition of balls in R^d, (with G. Somlai)
Mathematika 62, (2016), no.2, 378-405.
(pdf-file)
- Decompositions of the positive real numbers into sets closed
under addition and multiplication, (with G. Somlai, T. Terpai)
in preparation
Pompeiu and Fuglede problem
- The discrete Pompeiu problem on the plane, (with M. Laczkovich, Cs. Vincze)
Monatshefte fur Matematik 186 (2), (2018), 299-314(pdf-file)
- On the discrete Fuglede and Pompeiu problems
(with R.D. Malikiosis, G. Somlai, M. Vizer)
Analysis & PDE 13 (3), 765-788, 2020(pdf-file)
- Fuglede's conjecture holds on (Z_p)^2 x Z_q
(with G. Somlai),
Proc. Amer. Math. Soc. 149, 4181-4188, (2021). (pdf-file)
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Fuglede's conjecture holds for cyclic groups of order pqrs
(with R.D. Malikiosis, G. Somlai, M. Vizer),
Journal of Fourier Analysis and Applications, 28:79, (2022). (pdf-file)
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Spectral sets and tiles in (Z_p)^2 x (Z_q)^2
(with T. Fallon, G. Somlai)
ArXiv preprint arXiv:2109.13992. (pdf-file)
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Special directions on the finite affine plane
(with G. Somlai), submitted,
ArXiv preprint arXiv:2109.13992. (pdf-file)
Geometry
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Minimum area isosceles containers (with J. Pach, G. Somlai), accepted at Journal of Information Processing (2020)
28, 759-765, (2020)(pdf-file)
Fractal geometry
- How large dimension guarantees a given angle?
(with V. Harangi, T. Keleti, P. Maga, A. Mathe, P. Mattila, B. Strenner)
Monatshefte fur Matematik 171 (2), (2013), 169-187.
(pdf-file)
- Pointwise regularity of parameterized affine zipper fractal curves
fractal curves, (with B. Barany, I. Kolossvary), accepted in Nonlinearity
(pdf-file)
Wasserstein space in graphs
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Isometric rigidity of Wasserstein spaces: the graph metric case, (with T. Titkos),
Proc. Amer. Math. Soc. 150, 4083-4097, (2022). (pdf-file)
General metric spaces
- A generalization of the concept of distance based on the simplex inequality, (with J-L. Marichal, B. Teheux),
Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 59 no.2,
247-266, (2018) (pdf-file)
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On the best constants associated with n-distances,
(with J-L. Marichal)
Acta Mathematica Hungarica, 1-25, (2020)
(pdf-file)
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Nonstandard n-distance based on certain geometric constructions, (with J-L. Marichal),
submitted, ArXiv preprint arxiv:2110.06807. (pdf-file)
Functional equations concerning associativity and bisymmetry
- A characterization of n-associative, monotone,
idempotent functions on an interval that have
neutral elements, (with G. Somlai),
Semigroup Forum 96 (3), 438-451, (2018)
(pdf-file)
- Associative idempotent nondecreasing functions are reducible, (with G. Somlai),
Semigroup Forum 98 (1), 140-153, (2019)
(pdf-file)
- Characterizations of quasitrivial symmetric nondecreasing associative operations, (with J. Devillet, J-L. Marichal),
Semigroup Forum 98 (1), 154-171, (2019)
(pdf-file)
- Visual characterization of associative quasitrivial nondecreasing functions on finite chains,
Fuzzy Sets and Systems 395, 71-92, (2020) (comment: submitted in 2017 :S)
(pdf-file)
- Characterizations of biselective operations
J Devillet, G Kiss
Acta Mathematica Hungarica 157 (2), 387-407, (2019)
(pdf-file)