Edit Profile (opens in new tab) Stetkær, Henrik Compute Distance To: Compute Author ID: stetkaer.henrik Published as: Stetkær, Henrik; Stetkaer, Henrik; Stetkaer, H.; Stetkær, H. more...less Homepage: https://pure.au.dk/portal/en/persons/henrik-stetkaer(22c9f59e-031d-4b06-b636-b10... External Links: MGP · Wikidata · ResearchGate Documents Indexed: 65 Publications since 1971, including 6 Books Reviewing Activity: 53 Reviews Co-Authors: 10 Co-Authors with 18 Joint Publications 151 Co-Co-Authors all top 5 Co-Authors 47 single-authored 6 Ebanks, Bruce R. 4 Jacobsen, Jacob 2 de Place Friis, Peter 2 Rao, Murali 1 Curtis, Philip C. jun. 1 Fournais, Søren 1 Møller, Jacob Schach 1 Nielsen, Borge P. D. 1 Poulsen, Thomas A. 1 Schlichtkrull, Henrik all top 5 Serials 32 Aequationes Mathematicae 6 Mathematica Scandinavica 5 Journal of Functional Analysis 3 Publicationes Mathematicae Debrecen 2 Results in Mathematics 2 Semigroup Forum 2 Transactions of the American Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Pacific Journal of Mathematics 1 Journal of Operator Theory 1 Annals of Global Analysis and Geometry all top 5 Fields 44 Difference and functional equations (39-XX) 16 Topological groups, Lie groups (22-XX) 10 Abstract harmonic analysis (43-XX) 5 Operator theory (47-XX) 3 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 551 times in 203 Documents Cited by ▼ Year ▼ Functional equations on groups. Zbl 1298.39018Stetkær, Henrik 106 2013 Functional equations on abelian groups with involution. Zbl 0899.39007Stetkær, H. 59 1997 D’Alembert’s other functional equation on monoids with an involution. Zbl 1316.39006Ebanks, Bruce; Stetkær, Henrik 45 2015 A variant of d’Alembert’s functional equation. Zbl 1317.39036Stetkær, Henrik 39 2015 On Wilson’s functional equations. Zbl 1323.39020Ebanks, Bruce; Stetkær, Henrik 21 2015 Van Vleck’s functional equation for the sine. Zbl 1348.39013Stetkær, Henrik 18 2016 D’Alembert’s and Wilson’s functional equations on step 2 nilpotent groups. Zbl 1054.39017Stetkær, Henrik 17 2004 D’Alembert’s equation and spherical functions. Zbl 0810.39008Stetkaer, Henrik 16 1994 D’Alembert’s functional equations on metabelian groups. Zbl 0959.39023Stetkær, Henrik 12 2000 D’Alembert’s functional equation on groups. Zbl 1281.39028Stetkær, Henrik 12 2013 On a variant of Wilson’s functional equation on groups. Zbl 1061.39020Stetkær, Henrik 12 2004 Functional equations involving means of functions on the complex plane. Zbl 0913.39015Stetkær, Henrik 12 1998 Wilson’s functional equations on groups. Zbl 0830.39016Stetkaer, Henrik 12 1995 On multiplicative maps. Zbl 1013.39012Stetkær, Henrik 11 2001 Functional equations on abelian groups with involution. II. Zbl 0940.39020Stetkær, Henrik 11 1998 Functional equations and matrix-valued spherical functions. Zbl 1072.39023Stetkær, Henrik 11 2005 Kannappan’s functional equation on semigroups with involution. Zbl 1370.39012Stetkær, Henrik 10 2017 D’Alembert’s and Wilson’s functional equations for vector and \(2\times 2\) matrix valued functions. Zbl 0968.39012Stetkær, Henrik 8 2000 On the trigonometric subtraction and addition formulas. Zbl 0993.39023Poulsen, Thomas A.; Stetkær, Henrik 8 2000 On operator-valued spherical functions. Zbl 1119.47046Stetkær, Henrik 8 2005 A note on Wilson’s functional equation. Zbl 1373.39018Stetkær, Henrik 7 2017 The kernel of the second order Cauchy difference on semigroups. Zbl 1368.39019Stetkær, Henrik 7 2017 On the quadratic functional equation on groups. Zbl 1111.39024de Place Friis, Peter; Stetkær, Henrik 7 2006 Properties of d’Alembert functions. Zbl 1204.39023Stetkær, Henrik 7 2009 A link between Wilson’s and d’Alembert’s functional equations. Zbl 1344.39012Stetkær, Henrik 7 2016 More about Wilson’s functional equation. Zbl 1441.39026Stetkær, Henrik 6 2020 On Jensen’s functional equation on groups. Zbl 1078.39024Stetkær, Henrik 5 2003 The small dimension lemma and d’Alembert’s equation on semigroups. Zbl 1467.39018Stetkær, Henrik 5 2021 d’Alembert’s other functional equation. Zbl 1363.39029Ebanks, Bruce; Stetkær, Henrik 4 2015 The cosine addition law with an additional term. Zbl 1419.39045Stetkær, Henrik 4 2016 Continuous cocycles on locally compact groups. Zbl 1207.39033Ebanks, Bruce; Stetkær, Henrik 4 2009 A concise introduction to complex function theory. An invitation. Zbl 0947.30500Rao, Murali; Stetkær, Henrik 3 1991 Wilson’s functional equation on \(\mathbb{C}\). Zbl 0869.39007Stetkaer, Henrik 3 1997 Extensions of the sine addition formula on monoids. Zbl 1401.39025Ebanks, Bruce; Stetkær, Henrik 3 2018 Extensions of the sine addition law on groups. Zbl 1419.39049Stetkær, Henrik 3 2019 On a signed cosine equation of \(N\) summands. Zbl 0858.39012Stetkaer, Henrik 2 1996 Remarks on irreducibility of eigenspace representations. Zbl 0527.22015Stetkaer, Henrik 2 1983 On the cosine-sine functional equation on groups. Zbl 1030.39026de Place Friis, Peter; Stetkær, Henrik 2 2002 Invariant pseudo-differential operators. Zbl 0226.58010Stetkaer, Henrik 2 1971 On positive semidefinite solutions of the operator Lyapunov equation. Zbl 0413.47023Stetkaer, Henrik 2 1979 Eigenspace representations of nilpotent Lie groups. Zbl 0456.22011Jacobsen, Jacob; Stetkaer, Henrik 2 1981 Representations, convolution square roots and spherical vectors. Zbl 1158.43300Stetkær, Henrik 2 2007 Scalar irreducibility of certain eigenspace representations. Zbl 0593.22003Stetkaer, Henrik 2 1985 Continuous cocycles on locally compact groups. II. Zbl 1216.39031Ebanks, Bruce; Stetkær, Henrik 2 2010 Homomorphisms of product semigroups. Zbl 1484.39027Stetkær, Henrik 2 2022 Ultra-irreducibility of induced representations of semidirect products. Zbl 0759.22016Stetkær, Henrik 1 1991 A factorization theorem for analytic functions operating in a Banach algebra. Zbl 0203.44702Curtis, P. C. jun.; Stetkaer, H. 1 1971 Trigonometric functional equations of rectangular type. Zbl 0929.39011Stetkær, Henrik 1 1998 Generalized rectangular functional equations. Zbl 0929.39010Stetkær, Henrik 1 1999 Invariant Fourier integral operators on Lie groups. Zbl 0298.58009Nielsen, Borge P. D.; Stetkaer, Henrik 1 1975 Complex analysis. An invitation. 2nd enlarged ed. Zbl 1317.30001Rao, Murali; Stetkær, Henrik; Fournais, Søren; Møller, Jacob Schach 1 2015 Complete irreducibility and \(\chi\)-spherical representations. Zbl 0789.22025Stetkær, Henrik 1 1993 A Levi-Civita functional equation on semigroups. Zbl 1486.39031Stetkær, Henrik 1 2022 Homomorphisms of product semigroups. Zbl 1484.39027Stetkær, Henrik 2 2022 A Levi-Civita functional equation on semigroups. Zbl 1486.39031Stetkær, Henrik 1 2022 The small dimension lemma and d’Alembert’s equation on semigroups. Zbl 1467.39018Stetkær, Henrik 5 2021 More about Wilson’s functional equation. Zbl 1441.39026Stetkær, Henrik 6 2020 Extensions of the sine addition law on groups. Zbl 1419.39049Stetkær, Henrik 3 2019 Extensions of the sine addition formula on monoids. Zbl 1401.39025Ebanks, Bruce; Stetkær, Henrik 3 2018 Kannappan’s functional equation on semigroups with involution. Zbl 1370.39012Stetkær, Henrik 10 2017 A note on Wilson’s functional equation. Zbl 1373.39018Stetkær, Henrik 7 2017 The kernel of the second order Cauchy difference on semigroups. Zbl 1368.39019Stetkær, Henrik 7 2017 Van Vleck’s functional equation for the sine. Zbl 1348.39013Stetkær, Henrik 18 2016 A link between Wilson’s and d’Alembert’s functional equations. Zbl 1344.39012Stetkær, Henrik 7 2016 The cosine addition law with an additional term. Zbl 1419.39045Stetkær, Henrik 4 2016 D’Alembert’s other functional equation on monoids with an involution. Zbl 1316.39006Ebanks, Bruce; Stetkær, Henrik 45 2015 A variant of d’Alembert’s functional equation. Zbl 1317.39036Stetkær, Henrik 39 2015 On Wilson’s functional equations. Zbl 1323.39020Ebanks, Bruce; Stetkær, Henrik 21 2015 d’Alembert’s other functional equation. Zbl 1363.39029Ebanks, Bruce; Stetkær, Henrik 4 2015 Complex analysis. An invitation. 2nd enlarged ed. Zbl 1317.30001Rao, Murali; Stetkær, Henrik; Fournais, Søren; Møller, Jacob Schach 1 2015 Functional equations on groups. Zbl 1298.39018Stetkær, Henrik 106 2013 D’Alembert’s functional equation on groups. Zbl 1281.39028Stetkær, Henrik 12 2013 Continuous cocycles on locally compact groups. II. Zbl 1216.39031Ebanks, Bruce; Stetkær, Henrik 2 2010 Properties of d’Alembert functions. Zbl 1204.39023Stetkær, Henrik 7 2009 Continuous cocycles on locally compact groups. Zbl 1207.39033Ebanks, Bruce; Stetkær, Henrik 4 2009 Representations, convolution square roots and spherical vectors. Zbl 1158.43300Stetkær, Henrik 2 2007 On the quadratic functional equation on groups. Zbl 1111.39024de Place Friis, Peter; Stetkær, Henrik 7 2006 Functional equations and matrix-valued spherical functions. Zbl 1072.39023Stetkær, Henrik 11 2005 On operator-valued spherical functions. Zbl 1119.47046Stetkær, Henrik 8 2005 D’Alembert’s and Wilson’s functional equations on step 2 nilpotent groups. Zbl 1054.39017Stetkær, Henrik 17 2004 On a variant of Wilson’s functional equation on groups. Zbl 1061.39020Stetkær, Henrik 12 2004 On Jensen’s functional equation on groups. Zbl 1078.39024Stetkær, Henrik 5 2003 On the cosine-sine functional equation on groups. Zbl 1030.39026de Place Friis, Peter; Stetkær, Henrik 2 2002 On multiplicative maps. Zbl 1013.39012Stetkær, Henrik 11 2001 D’Alembert’s functional equations on metabelian groups. Zbl 0959.39023Stetkær, Henrik 12 2000 D’Alembert’s and Wilson’s functional equations for vector and \(2\times 2\) matrix valued functions. Zbl 0968.39012Stetkær, Henrik 8 2000 On the trigonometric subtraction and addition formulas. Zbl 0993.39023Poulsen, Thomas A.; Stetkær, Henrik 8 2000 Generalized rectangular functional equations. Zbl 0929.39010Stetkær, Henrik 1 1999 Functional equations involving means of functions on the complex plane. Zbl 0913.39015Stetkær, Henrik 12 1998 Functional equations on abelian groups with involution. II. Zbl 0940.39020Stetkær, Henrik 11 1998 Trigonometric functional equations of rectangular type. Zbl 0929.39011Stetkær, Henrik 1 1998 Functional equations on abelian groups with involution. Zbl 0899.39007Stetkær, H. 59 1997 Wilson’s functional equation on \(\mathbb{C}\). Zbl 0869.39007Stetkaer, Henrik 3 1997 On a signed cosine equation of \(N\) summands. Zbl 0858.39012Stetkaer, Henrik 2 1996 Wilson’s functional equations on groups. Zbl 0830.39016Stetkaer, Henrik 12 1995 D’Alembert’s equation and spherical functions. Zbl 0810.39008Stetkaer, Henrik 16 1994 Complete irreducibility and \(\chi\)-spherical representations. Zbl 0789.22025Stetkær, Henrik 1 1993 A concise introduction to complex function theory. An invitation. Zbl 0947.30500Rao, Murali; Stetkær, Henrik 3 1991 Ultra-irreducibility of induced representations of semidirect products. Zbl 0759.22016Stetkær, Henrik 1 1991 Scalar irreducibility of certain eigenspace representations. Zbl 0593.22003Stetkaer, Henrik 2 1985 Remarks on irreducibility of eigenspace representations. Zbl 0527.22015Stetkaer, Henrik 2 1983 Eigenspace representations of nilpotent Lie groups. Zbl 0456.22011Jacobsen, Jacob; Stetkaer, Henrik 2 1981 On positive semidefinite solutions of the operator Lyapunov equation. Zbl 0413.47023Stetkaer, Henrik 2 1979 Invariant Fourier integral operators on Lie groups. Zbl 0298.58009Nielsen, Borge P. D.; Stetkaer, Henrik 1 1975 Invariant pseudo-differential operators. Zbl 0226.58010Stetkaer, Henrik 2 1971 A factorization theorem for analytic functions operating in a Banach algebra. Zbl 0203.44702Curtis, P. C. jun.; Stetkaer, H. 1 1971 all cited Publications top 5 cited Publications all top 5 Cited by 131 Authors 37 Zeglami, Driss 32 Kabbaj, Samir 25 Stetkær, Henrik 21 Fadli, Brahim 20 Ebanks, Bruce R. 13 Elqorachi, Elhoucien 12 Chahbi, Abdellatif 9 Brzdęk, Janusz 9 El-Fassi, Iz-Iddine 8 Aissi, Youssef 8 Ayoubi, Mohamed 8 Sahoo, Prasanna K. 7 Almahalebi, Muaadh 7 Charifi, Ahmed 7 Elhoucien, Elqorachi 5 Łukasik, Radosław 5 Mouzoun, Aziz 5 Ng, Che Tat 4 Ajebbar, Omar 4 Akkaoui, Ahmed 4 Bahyrycz, Anna 4 Bouikhalene, Belaid 4 Chung, Jaeyoung 4 Dimou, Hajira 4 Fechner, Żywilla 4 Rassias, John Michael 4 Roukbi, Ahmed 4 Tial, Mohamed 3 Belfakih, Keltouma 3 El Fatini, Mohamed 3 Perkins, Allison M. 3 Rassias, Themistocles Michael 3 Sabour, Kh. 3 Yang, Dilian 2 Ahmed, Redouani 2 Almira, Jose María 2 Belaid, Bouikhalene 2 Choi, Chang-Kwon 2 El Ghali, Rachid 2 Elfen, Heather Hunt 2 Fechner, Włodzimierz 2 Hunt, Heather B. 2 Jabłońska, Eliza 2 Kim, Gwang Hui 2 Lehlou, Fouad 2 Moussa, Mohammed 2 Ostaszewski, Adam J. 2 Redouani, Ahmed 2 Riedel, Thomas 2 Sikorska, Justyna 2 Száz, Árpád 2 Zhao, Houyu 1 Akkouchi, Mohamed 1 Al-Ali, Sadeq A. A. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 An, Jinpeng 1 Aribou, Youssef 1 Asadi, Mohammad B. 1 Badora, Roman 1 Bantaojai, Thanatporn 1 Bingham, Nicholas Hugh 1 Bodaghi, Abasalt 1 Brillouët-Belluot, Nicole 1 Bunce, John Winston 1 Cain, Bryan E. 1 Chahbi, A. B. 1 Chojnacki, Wojciech 1 Chudziak, Jacek 1 Chung, Soon-Yeong 1 Ciepliński, Krzysztof 1 Dragomir, Sever Silvestru 1 Eloqrachi, Elhoucien 1 Engelmann, Matthias 1 Fatini, M. El 1 Fel’dman, Gennadiĭ Mikhaĭlovich 1 Fletcher, James 1 Ger, Roman 1 Gómez-Cubillo, Fernando 1 Gselmann, Eszter 1 Hryrou, Mustapha Esseghyr 1 Joo, Jae-Cheon 1 Jung, Soon-Mo 1 Kabbaj, Sam 1 Keltouma, Belfakih 1 Khalil, Sammad 1 Khaoua, Abderrahim 1 Kim, ChangIl 1 Kim, Jongjin 1 Kim, Kang-Tae 1 Kiss, Gergely 1 Lee, Zoonhee 1 Lescure, Jean-Marie 1 Li, Lin 1 Lin, Xia 1 Lucardesi, Ilaria 1 Luo, Ye 1 Manar, Youssef 1 Marché, Julien 1 Molla, Arman 1 Møller, Jacob Schach ...and 31 more Authors all top 5 Cited in 57 Serials 61 Aequationes Mathematicae 15 Results in Mathematics 11 Proyecciones 9 Acta Mathematica Hungarica 9 Annales Mathematicae Silesianae 6 Journal of Mathematical Analysis and Applications 5 Bulletin of the Australian Mathematical Society 5 Journal of Functional Analysis 5 Afrika Matematika 4 Semigroup Forum 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Mediterranean Journal of Mathematics 4 Advances in Pure and Applied Mathematics 3 Indagationes Mathematicae. New Series 2 Bulletin of the Iranian Mathematical Society 2 Abstract and Applied Analysis 2 Communications of the Korean Mathematical Society 2 Acta Universitatis Sapientiae. Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Annals of Global Analysis and Geometry 1 Applied Mathematics Letters 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 The Journal of Analysis 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 Filomat 1 Arab Journal of Mathematical Sciences 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fixed Point Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Scientia. Series A: Mathematical Sciences. New Series 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 East Asian Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Palestine Journal of Mathematics 1 Journal of Function Spaces 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 23 Fields 184 Difference and functional equations (39-XX) 20 Group theory and generalizations (20-XX) 18 Topological groups, Lie groups (22-XX) 17 Abstract harmonic analysis (43-XX) 15 Operator theory (47-XX) 10 Functional analysis (46-XX) 4 Partial differential equations (35-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.