Department of Mathematics

Peter Luthy, Ph.D.

Peter Luthy Headshot

Chair
Associate Professor of Mathematics
Ph.D., Cornell University
M.A., Cornell University
B.A., Connecticut College

peter.luthy@mountsaintvincent.edu

Areas of Interest

  • Harmonic analysis
  • Time-frequency analysis
  • Wavelet theory

Publications
Hernández, E., Luthy, P. Šikić, H., Soria, F., and Wilson, E., “Spaces Generated by Orbits of Unitary Representations: A Tribute to Guido Weiss.” The Journal of Geometric Analysis, pp. 1-27, 2020. https://doi.org/10.1007/s12220-020-00396-0

Barbieri, D., Cabrelli, C. Hernández, E., Luthy, P., Molter, U., and Mosquera, C., “Frame of Exponentials and Sub-Multitiles in LCA Groups.” C.R. Acad. Sci. Series I, Volume 356, Issue 1, pp. 107-113, 2018.

Luthy, P., “On a Biparameter Maximal Multilinear Operator.” Journal of Functional Analysis, Volume 268, Issue 5, pp. 1105-1152

Luthy, P, Weiss, G., Wilson, E., “Projections and Dyadic Parseval Frame MRA Wavelets.” Applied and Computational Harmonic Analysis, Volume 39, Issue 3, pp. 511-533

Luthy, P., Weiss, G., Wilson,  E., “Interplay in various settings between shift invariant spaces, wavelets, and sampling.” Wavelets XV(San Diego, CA, 2013), SPIE Proc.8858, 2013

Luthy, P.  “Bi-parameter maximal multilinear operators.”  PhD Thesis, Cornell University, 2013

Hammock, F., Luthy, P., Meadows, A., Whitman, P., “Tornado solutions for semilinear elliptic equations in R^2: Applications.” Proc.  Amer. Math. Soc., vol. 135, no. 5, pp. 1419-1430

Ammirati, T.F., Monce, M.N., Tadesse, D., Luthy, P.M. and Alvarado, N., 2005. “Absolute photon cross sections for Balmer lines from proton‐SO2 collisions.” Journal of Geophysical Research: Space Physics, 110(A4)