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Geronimo, Jeffrey S.

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WKB and Turning Point Theory for Second Order Difference Equations: External Fields and Strong Asymptotics for Orthogonal Polynomials

2009-05 , Geronimo, Jeffrey S.

A LG-WKB and Turning point theory is developed for three term recurrence formulas associated with monotonic recurrence coefficients. This is used to find strong asymptotics for certain classical orthogonal polynomials including Wilson polynomials.

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On the Inverse Fractal Problem for Two Dimensional Disjoint Polyhulled Attractors

1994-03 , Deliu, A. , Geronimo, Jeffrey S. , Shonkwiler, Ronald W.

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Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

1993-10 , Donovan, George , Geronimo, Jeffrey S. , Hardin, Douglas P. , Massopust, Peter R.

Fractal interpolation functions are used to construct a compactly supported continuous, orthogonal wavelet basis spanning L^2(IR). The wavelets share many of the properties normally associated with spline wavelets in particular linear phase.

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