Reason why we have a strip in zeta theory, KMS theory and interpolation theory?

There exists the strip for the Riemann zeta function, the strip of the Tomita–Takesaki theory and the strip of complex interpolation theory.

Is this a mere coincidence or is there an (intuitive??) reason why we have a similar strip in these three theories?

edited Aug 15 2011 at 10:28

asked Aug 15 2011 at 6:44

BigBill
744●4●8

I'm far from knowledgeable on the topic, but aren't the strips in Tomita–Takesaki theory and complex interpolation theory strips on which a function is defined, and the function does NOT analytically extend outside of the strip? – André Henriques Aug 15 2011 at 11:45

Could you consider giving a bit more background? mathoverflow.net/howtoask#motivation – jc Aug 15 2011 at 15:09

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