@article{MTMT:34645176,
	title = {The 59th International Symposium on Functional Equations Hotel Aurum, Hajdúszoboszló (Hungary), June 18-25, 2023},
	url = {https://m2.mtmt.hu/api/publication/34645176},
	author = {Mirosaw, Adamek and Ali, Ali Hasan and Alina, Ramona Baias and Bessenyei, Mihály and Boros, Zoltán and Gilányi, Attila and Grünwald, Richárd and Gselmann, Eszter and Mehak, Iqbal and Kiss, Tibor and Kiss, Gergely and Menzer, Rayene and Nagy, Gergő and Páles, Zsolt and Székelyhidi, László and Szokol, Patrícia Ágnes and To, Lan Nhi and Tóth, Péter and Norbert, Tóth},
	doi = {10.1007/s00010-023-01007-3},
	journal-iso = {AEQUATIONES MATH},
	journal = {AEQUATIONES MATHEMATICAE},
	volume = {97},
	unique-id = {34645176},
	issn = {0001-9054},
	year = {2023},
	eissn = {1420-8903},
	pages = {1259-1290},
	orcid-numbers = {Ali, Ali Hasan/0000-0003-2959-4212; Boros, Zoltán/0000-0003-2219-6027; Gselmann, Eszter/0000-0002-1708-2570; Menzer, Rayene/0000-0002-6540-8651; Nagy, Gergő/0000-0002-9044-4590; Székelyhidi, László/0000-0001-8078-6426; Tóth, Péter/0000-0002-9698-8935}
}

@article{MTMT:34548656,
	title = {A GENERALIZATION OF THE HEISENBERG GROUP},
	url = {https://m2.mtmt.hu/api/publication/34548656},
	author = {Székelyhidi, László},
	doi = {10.30504/JIMS.2023.396137.1113},
	journal-iso = {JIMS},
	journal = {Journal of the Iranian Mathematical Society},
	volume = {4},
	unique-id = {34548656},
	issn = {2717-1612},
	year = {2023},
	pages = {105-119},
	orcid-numbers = {Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:34429967,
	title = {Moment functions of higher rank on some types of hypergroups},
	url = {https://m2.mtmt.hu/api/publication/34429967},
	author = {Fechner, Żywilla and Gselmann, Eszter and Székelyhidi, László},
	doi = {10.1007/s00233-023-10401-x},
	journal-iso = {SEMIGROUP FORUM},
	journal = {SEMIGROUP FORUM},
	volume = {107},
	unique-id = {34429967},
	issn = {0037-1912},
	abstract = {We consider moment functions of higher order. In our earlier paper, we have already investigated the moment functions of higher order on groups. The main purpose of this work is to prove characterization theorems for moment functions on the multivariate polynomial hypergroups and on the Sturm–Liouville hypergroups. In the first case, the moment generating functions of higher rank are partial derivatives (taken at zero) of the composition of generating polynomials of the hypergroup and functions whose coordinates are given by the formal power series. On Sturm–Liouville hypergroups the moment functions of higher rank are restrictions of even smooth functions that also satisfy certain boundary value problems. The second characterization of moment functions of higher rank on Sturm–Liouville hypergroups is given by means of an exponential family. In this case, the moment functions of higher rank are partial derivatives of an appropriately modified exponential family again taken at zero.},
	year = {2023},
	eissn = {1432-2137},
	pages = {624-636},
	orcid-numbers = {Gselmann, Eszter/0000-0002-1708-2570; Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:34150382,
	title = {Report of Meeting: The Twenty-second Debrecen–Katowice Winter Seminar on Functional Equations and Inequalities Hajdúszoboszló (Hungary), February 1–4, 2023},
	url = {https://m2.mtmt.hu/api/publication/34150382},
	author = {Abayomi, Epebinu and Ali, Ali Hasan and Bessenyei, Mihály and Boros, Zoltán and Chmielewska, Katarzyna and Chudziak, Jacek and Gát, György and Gilányi, Attila and Grünwald, Richárd and Gselmann, Eszter and Iqbal, Mehak and Kiss, Tibor and ükasik, Radosaw and Maslyuchenko, Oleksandr and Menzer, Rayene and Molnár, Gábor Marcell and Olbrys, Andrzej and Páles, Zsolt and Pénzes, Evelin and Pieszczek, Mateusz and Sablik, MacIej and Székelyhidi, László and Szostok, Tomasz and Tóth, Norbert and Tóth, Péter and Wójcik, Sebastian and Zürcher, Thomas},
	doi = {10.2478/amsil-2023-0006},
	journal-iso = {ANN MATH SIL},
	journal = {ANNALES MATHEMATICAE SILESIANAE},
	volume = {37},
	unique-id = {34150382},
	issn = {0860-2107},
	year = {2023},
	eissn = {2391-4238},
	pages = {315-334},
	orcid-numbers = {Ali, Ali Hasan/0000-0003-2959-4212; Gselmann, Eszter/0000-0002-1708-2570; Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:34087010,
	title = {Generalized derivations and generalized exponential monomials on hypergroups},
	url = {https://m2.mtmt.hu/api/publication/34087010},
	author = {Fechner, Zywilla and Gselmann, Eszter and Székelyhidi, László},
	doi = {10.7494/OpMath.2023.43.4.493},
	journal-iso = {OPUSC MATHEMATICA},
	journal = {OPUSCULA MATHEMATICA},
	volume = {43},
	unique-id = {34087010},
	issn = {1232-9274},
	abstract = {In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra. Continuing with this, we are now looking for the connection between the generalized exponential polynomials of a commutative hypergroup and the higher order derivations of the corresponding measure algebra.},
	keywords = {DERIVATION; Hypergroup; Moment function; exponential monomials; exponential polynomial; moment sequence; Derivation of higher order},
	year = {2023},
	pages = {493-505},
	orcid-numbers = {Gselmann, Eszter/0000-0002-1708-2570; Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:33571640,
	title = {Finite dimensional varieties over the Heisenberg group},
	url = {https://m2.mtmt.hu/api/publication/33571640},
	author = {Székelyhidi, László},
	doi = {10.1007/s00010-022-00911-4},
	journal-iso = {AEQUATIONES MATH},
	journal = {AEQUATIONES MATHEMATICAE},
	volume = {97},
	unique-id = {33571640},
	issn = {0001-9054},
	abstract = {Spectral analysis and synthesis studies translation invariant function spaces, so-called varieties over topological groups. The basic building blocks are the finite dimensional varieties. In the commutative case finite dimensional varieties are spanned by exponential polynomials. In non-commutative situations no relevant results exist. In this paper we consider finite dimensional left translation invariant linear spaces of continuous complex valued functions over the Heisenberg group. Using basic knowledge about Lie algebra we describe all left varieties of this type. In particular, it turns out that those function spaces are spanned by exponential polynomials as well.},
	keywords = {Variety; Heisenberg group; exponential polynomial},
	year = {2023},
	eissn = {1420-8903},
	pages = {377-390},
	orcid-numbers = {Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:33574811,
	title = {Report of Meeting: The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2–5, 2022},
	url = {https://m2.mtmt.hu/api/publication/33574811},
	author = {Burai, Pál and Bessenyei, Mihály and Boros, Zoltán and Chmieliński, Jacek and Chudziak, Jacek and Fazekas, Borbála Andrea and Ger, Roman and Gselmann, Eszter and Iqbal, Mehak and Łukasik, Radosław and Maslyuchenko, Oleksandr and Menzer, Rayene and Molnár, Gábor Marcell and Olbryś, Andrzej and Pasteczka, Paweł and Pénzes, Evelin and Sablik, Maciej and Sikorska, Justyna and Székelyhidi, László and Szokol, Patrícia Ágnes and Szostok, Tomasz and Tóth, Péter and Zürcher, Thomas},
	doi = {10.2478/amsil-2022-0003},
	journal-iso = {ANN MATH SIL},
	journal = {ANNALES MATHEMATICAE SILESIANAE},
	volume = {36},
	unique-id = {33574811},
	issn = {0860-2107},
	year = {2022},
	eissn = {2391-4238},
	pages = {92-105},
	orcid-numbers = {Boros, Zoltán/0000-0003-2219-6027; Gselmann, Eszter/0000-0002-1708-2570; Menzer, Rayene/0000-0002-6540-8651; Székelyhidi, László/0000-0001-8078-6426; Tóth, Péter/0000-0002-9698-8935}
}

@article{MTMT:33014396,
	title = {Spectral synthesis via moment functions on hypergroups},
	url = {https://m2.mtmt.hu/api/publication/33014396},
	author = {Fechner, Zywilla and Gselmann, Eszter and Székelyhidi, László},
	doi = {10.1515/forum-2021-0213},
	journal-iso = {FORUM MATH},
	journal = {FORUM MATHEMATICUM},
	volume = {34},
	unique-id = {33014396},
	issn = {0933-7741},
	abstract = {In this paper, we continue the discussion about relations between exponential polynomials and generalized moment functions on a commutative hypergroup. We are interested in the following problem: is it true that every finite-dimensional variety is spanned by moment functions? Let m be an exponential on X. In our former paper, we have proved that if the linear space of all m-sine functions in the variety of an m-exponential monomial is (at most) one-dimensional, then this variety is spanned by moment functions generated by m. In this paper, we show that this may happen also in cases where the m-sine functions span a more than one-dimensional subspace in the variety. We recall the notion of a polynomial hypergroup in d variables, describe exponentials on it and give the characterization of the so-called m-sine functions. Next we show that the Fourier algebra of a polynomial hypergroup in d variables is the polynomial ring in d variables. Finally, using the Ehrenpreis-Palamodov Theorem, we show that every exponential polynomial on the polynomial hypergroup in d variables is a linear combination of moment functions contained in its variety.},
	keywords = {VARIETIES; Moment function; moment sequence; Generalized exponential polynomial; Spectral analysis and synthesis},
	year = {2022},
	eissn = {1435-5337},
	pages = {1187-1197},
	orcid-numbers = {Fechner, Zywilla/0000-0001-7412-6544; Gselmann, Eszter/0000-0002-1708-2570; Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:32990639,
	title = {Moment functions of higher rank on polynomial hypergroups},
	url = {https://m2.mtmt.hu/api/publication/32990639},
	author = {Fechner, Zywilla and Gselmann, Eszter and Székelyhidi, László},
	doi = {10.1007/s43036-022-00204-2},
	journal-iso = {ADV OPERAT THEORY},
	journal = {ADVANCES IN OPERATOR THEORY},
	volume = {7},
	unique-id = {32990639},
	abstract = {In this paper we consider generalized moment functions of higher order. These functions are closely related to the well-known functions of binomial type which have been investigated on various abstract structures. In our former paper we investigated the properties of generalized moment functions of higher order on commutative groups. In particular, we proved the characterization of generalized moment functions on a commutative group as the product of an exponential and composition of multivariate Bell polynomial and a sequence additive functions. In the present paper we continue the study of generalized moment function sequences of higher order in the more abstract setting, namely we consider functions defined on a hypergroup. We characterize these functions on the polynomial hypergroup in one variable by means of partial derivatives of a composition of polynomials generating the polynomial hypergroup and an analytic function. As an example, we give an explicit formula for moment generating functions of rank at most two on the Tchebyshev hypergroup.},
	keywords = {Polynomial hypergroup; Moment function; Bell polynomials; moment sequence},
	year = {2022},
	eissn = {2538-225X},
	orcid-numbers = {Gselmann, Eszter/0000-0002-1708-2570; Székelyhidi, László/0000-0001-8078-6426}
}

@article{MTMT:32497975,
	title = {Spectral analysis and synthesis on an infinite hypergroup join},
	url = {https://m2.mtmt.hu/api/publication/32497975},
	author = {Székelyhidi, László},
	doi = {10.5486/PMD.2021.8709},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {99},
	unique-id = {32497975},
	issn = {0033-3883},
	year = {2021},
	eissn = {2064-2849},
	pages = {261-273},
	orcid-numbers = {Székelyhidi, László/0000-0001-8078-6426}
}