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- W2142918828 abstract "The integral operator which we will consider in this paper is the operator T denned for suitably restricted functions f on (0, ∞) by where x >0 and the integral is taken in the Cauchy principal value sense at t = x . This operator plays a considerable role in Wiener–Hopf theory; see [2; Chapter 5]. Since T is clearly the restriction to (0, ∞) of minus the Hilbert transformation applied to functions which vanish on (−∞, 0), it follows easily from the theory of the Hilbert transformation, as given in say [6; Theorem 101], that T is a bounded operator from L p (0, ∞) to itself for 1 < p < ∞." @default.
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- W2142918828 date "1986-01-01" @default.
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- W2142918828 title "On the spectrum of an integral operator" @default.
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- W2142918828 doi "https://doi.org/10.1017/s001708950000625x" @default.
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