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functional equations

• To: mathgroup at smc.vnet.net
• Subject: [mg72014] functional equations
• From: János <janos.lobb at yale.edu>
• Date: Fri, 8 Dec 2006 06:18:04 -0500 (EST)

Ingolf,

I lost e-mails from mathgroup from Nov 30, so it is a reply to a post  
seen on the web.

You might want to look the publications of Zoltán Daróczy, who did  
some work in that area.  For example:

Z. Daróczy : Über die Funktionalgleichung j [j (x)y]=j (x)j (y)
In.: Acta Univ. Debrecen, Ser. Fiz. Chem. 8 (1962), pp. 125-132., MR  
32, # 9231

or

Z. Daróczy : Az f[x+y f(x)]=f(x)f(y) függvényegyenlet folytonos  
megoldásáról Hilbert-terekben = Continuous solutions of the  
functional equation f[x+yf(x)]=f(x)f(y) in Hilbert spaces, (in  
Hungarian)
In.: Mat. Lapok 17 (1966), pp. 339-343., MR 38, # 6267

He co-wrote the classic book Measures of Information and their  
Characterizations with János Aczél:

Z. Daróczy : On Measures of Information and Their Characterizations
New York: Academic Press, (1975). (J. Aczél társszerzovel), MR 58 ,#  
33509

His home page is at:
http://riesz.math.klte.hu/~daroczy/

where if you click on the Laudatio link then you can see some summary  
by László Székelyhidi in Anglish.

With the best,

János


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