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#lindelöf's_theorem

Lindelöf's theorem

In mathematics, Lindelöf's theorem is a result in complex analysis named after the Finnish mathematician Ernst Leonard Lindelöf. It states that a holomorphic function on a half-strip in the complex plane that is bounded on the boundary of the strip and does not grow "too fast" in the unbounded direction of the strip must remain bounded on the whole strip. The result is useful in the study of the Riemann zeta function, and is a special case of the Phragmén–Lindelöf principle. Also, see Hadamard three-lines theorem.

Fri 19th

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Picard–Lindelöf theorem Lindelöf's theorem Phragmén–Lindelöf principle Lindelöf (surname) Ernst Leonard Lindelöf Lindelöf space List of theorems Uniqueness theorem Lipschitz continuity Banach fixed-point theorem
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