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- Carolyn S. Gordon, Ruth Gornet, Dorothee Schueth, D. L. Webb, Edward N. Wilson
- 1997

We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds , more precisely, on Sn Ã— T m, where T m is a torus ofâ€¦ (More)

We present an overview of some aspects of the mathematical theory of wavelets. These notes are addressed to an audience of mathematicians familiar with only the most basic elements of Fourierâ€¦ (More)

Two compact Riemannian manifolds are said to be isospectral if the associated Laplace-Beltrami operators, acting on smooth functions, have the same eigenvalue spectrum. If the manifolds haveâ€¦ (More)

- Edward N. Wilson, Albert Baernstein
- 2007

Acknowledgments I am fully indebted to my two advisors, Guido Weiss and Ed Wilson. Our frequent meetings in Guido's office have been truly rewarding mathematically and personally. They have beenâ€¦ (More)

An orthonormal wavelet system in Rd , d âˆˆ N, is a countable collection of functions {Ïˆ j,k }, j âˆˆ Z, k âˆˆ Zd , = 1, . . . , L, of the form Ïˆ j,k(x) = | det a|âˆ’j/2Ïˆ ( aâˆ’j x âˆ’ k) â‰¡ (D aj Tk Ïˆ ) (x) thatâ€¦ (More)

- Damir BakiÄ‡, Edward N. Wilson
- 2011

The paper studies orthonormal wavelets in L2(Rn) with dilations induced by expanding integer matrices of arbitrary determinant. We provide a method for construction of all scaling sets and, hence, ofâ€¦ (More)

- I. I. HIRSCHMAN, Dao-ming Liang, Edward N. Wilson
- 2010

Let / be a real valued integrable function on a compact homogeneous space M = K\G and MÂ¡ the operator of pointwise multiplication by /. The authors consider families of Toeplitz operators TÂ¡P = PMÂ¡Pâ€¦ (More)

- Edward N. Wilson, Sonia Do Carmo, +7 authors Augusto Claudio Cuello
- Translational Psychiatry
- 2017

Lithium is first-line therapy for bipolar affective disorder and has recently been shown to have protective effects in populations at risk for Alzheimerâ€™s disease (AD). However, the mechanismâ€¦ (More)

- M Florencia Iulita, M Beatriz BistuÃ© MillÃ³n, +9 authors Augusto Claudio Cuello
- Neurobiology of disease
- 2017

Evidence from human neuropathological studies indicates that the levels of the neurotrophins nerve growth factor (NGF) and brain-derived neurotrophic factor (BDNF) are compromised in Alzheimer'sâ€¦ (More)

- Edward N. Wilson, Andrew R. Abela, +6 authors Augusto Claudio Cuello
- Cerebral cortex
- 2017

In Alzheimer disease (AD), the accumulation of amyloid beta (AÎ²) begins decades before cognitive symptoms and progresses from intraneuronal material to extracellular plaques. To date, however, theâ€¦ (More)