Hi, I'm reading "Spectral Theory of Linear Operators" by John Dowson. I've seen the phrase "analytic at infinity" popping up very early in the book, but no definition is given. I wonder if anyone could tell me what the definition is or where I might find the definition and perhaps a few basic results on analyticity at infinity? The operators I'm looking at are continuous linear maps from a complex Banach space to itself, so my question is really about complex analysis.(adsbygoogle = window.adsbygoogle || []).push({});

I've tried Google but have found no definition.

I think "bounded at infinity" is a related concept, but again I do not know what that means. Maybe someone can help me out there too?

Thanks.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Analytic At Infinity?

Loading...

Similar Threads for Analytic Infinity |
---|

I Video (analytic continuation) seems to mix 4-D & 2-D maps |

B Integrating to infinity issue |

I Is it possible to find the limit of (1+1/x)^x as x approaches -infinity? |

**Physics Forums - The Fusion of Science and Community**