Extremal Signatures View Full Text


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Article Info

DATE

2018-04

AUTHORS

Friedrich Littmann, Mark Spanier

ABSTRACT

Let E=A-iB be a Hermite–Biehler entire function of exponential type τ/2 where A and B are real entire, and consider dμ(x)=dx/|E(x)|2. We show that the sign of the product AB is an extremal signature for the space of functions of exponential type τ with respect to the norm of L1(μ). This allows us to find best approximations by entire functions of exponential type τ in L1(μ)-norm to certain special functions (e.g., the Gaussian and the Poisson kernel). More... »

PAGES

339-356

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7

DOI

http://dx.doi.org/10.1007/s00365-017-9373-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1084517664


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