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#1 2009-03-22 02:54:16

Kurre
Member
Registered: 2006-07-18
Posts: 280

functional equation

Solve the functional equation f(az)=af(z), where a is some complex constant with |a|>1, and f(z) is continuous in a domain D.

I have managed to solve the problem where f is analytic at the origin, but I cant manage to solve it when f is only continuous.:/

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#2 2009-03-27 23:55:32

Kurre
Member
Registered: 2006-07-18
Posts: 280

Re: functional equation

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