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An electrophysiologic mapping technique which enables identification of the central sulcus and pathologic cortical regions is described. Electrocorticographic recordings of 1 min duration were recorded from 25 patients who were undergoing resection of tumors in the sensory-motor region or being evaluated for temporal lobectomy for epilepsy. Analysis of the… (More)

We generalize the respective " double recurrence " results of Bourgain and of the second author, which established for pairs of L ∞ functions on a finite measure space the a.e. convergence of the discrete bilinear ergodic averages and of the discrete bilinear Hilbert averages defined by invertible measure-preserving point transformations. Our… (More)

- Earl Berkson, EARL BERKSON
- 2011

Let E(·) : R → B(X) be the spectral decomposition of a trigonometrically well-bounded operator U acting on the arbitrary Ba-nach space X, and suppose that the bounded function φ : T → C has the property that for each z ∈ T, the spectral integral R [0,2π] φ(e it)dEz(t) exists, where Ez(·) denotes the spectral decomposition of the (necessarily)… (More)

- Earl Berkson, EARL BERKSON
- 2015

This note describes the pleasant features that accrue in weighted settings when the partial sums of the operator-valued Fourier series corresponding to a multiplier function ψ : T → C are uniformly bounded in operator norm. This circle of ideas also includes a Tauberian-type condition on the multiplier function ψ sufficient to insure such uniform… (More)

- NAKHLI• ASMAR, EARL BERKSON, T. A. GILLESPIE
- 2004

Let G be a locally compact abelian group, and let u-* Ru be a uniformly bounded, strongly continuous representation of G in a closed subspace X of Lp(p), where p is an arbitrary measure and 1 _ • p • c •. We show that under appropriate circumstances the representation R will transfer to X the bounds for square functions defined by sequences of… (More)

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