Shani Jose
Department of Mathematical Sciences
French Hall West, Cincinnati OH 45221 USA
josesh@ucmail.uc.edu
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Sara Botello-Andrade, Peter G. Casazza, Dorsa Ghoreishi, Shani Jose, Janet C. Tremain. Weak phase retrieval and phaseless reconstruction. Compressed Sensing and Its Applications (Eds. H. Boche et al), Applied and Numerical Harmonic Analysis, Springer, 2018.
New article:Norm retrieval and phase retrieval by projections. Axioms, Special issue on Wavelet and Frame Constructions, with Applications, Volume 6, Number 1, 6, March 2017. (with Peter Casazza, Dorsa Ghoreishi, Janet Tremain)
I am connected to E. H. Moore who described the concept of generalized or Moore-Penrose inverses which were my main areas of research interest in PhD/Postdoc ! :) You can see the full Mathematical Genealogy Tree or the short path to E. H. Moore !!
RESEARCH INTERESTS
My core research works are in the broad area of Generalized Inverses of Matrices, Operators and Functional Analysis. Currently I am working on some general conditions under which one can find a generalized inverses of a sum of bounded linear operators on infinite dimensional Hilbert spaces. I am also interested in operator partial orders, applications of generalized inverses in real world problems, harmonic analysis, frame theory, matrix analysis and statistics.
My other interests include Carnatic music, Yoga and Cooking.
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