On a functional equation on groups arising from the characterization of stochastic distance measures

Verfasser / Beitragende:
[Heather Hunt, Prasanna Sahoo]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 511-528
Format:
Artikel (online)
ID: 605508437
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024 7 0 |a 10.1007/s00010-013-0231-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-013-0231-9 
245 0 0 |a On a functional equation on groups arising from the characterization of stochastic distance measures  |h [Elektronische Daten]  |c [Heather Hunt, Prasanna Sahoo] 
520 3 |a This work aims to determine all functions $${f, g, h, k : G \to \mathbb{C}}$$ f , g , h , k : G → C that satisfy the functional equation f(pr, qs) +g(ps, qr) = h(p,q) + k(r,s) for all p, q, r, s ∈G, where G is a group and $${\mathbb{C}}$$ C is the field of complex numbers. 
540 |a Springer Basel, 2013 
690 7 |a Abelian function  |2 nationallicence 
690 7 |a bi-homomorphism  |2 nationallicence 
690 7 |a central function  |2 nationallicence 
690 7 |a divergence measure  |2 nationallicence 
690 7 |a functional equation  |2 nationallicence 
690 7 |a symmetric bi-homomorphism  |2 nationallicence 
700 1 |a Hunt  |D Heather  |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA  |4 aut 
700 1 |a Sahoo  |D Prasanna  |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA  |4 aut 
773 0 |t Aequationes mathematicae  |d Springer International Publishing  |g 89/3(2015-06-01), 511-528  |x 0001-9054  |q 89:3<511  |1 2015  |2 89  |o 10 
856 4 0 |u https://doi.org/10.1007/s00010-013-0231-9  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00010-013-0231-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hunt  |D Heather  |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sahoo  |D Prasanna  |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer International Publishing  |g 89/3(2015-06-01), 511-528  |x 0001-9054  |q 89:3<511  |1 2015  |2 89  |o 10