Shani Jose
Department of Mathematical Sciences
French Hall West, Cincinnati OH 45221 USA
josesh@ucmail.uc.edu
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Shani Jose. The interface of multidimensional linear algebra and harmonic analysis: Metric tensor structures, singular integrals, and decoupling principles. Preprint, October 2026.
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.
Peter G. Casazza, Dorsa Ghoreishi, Shani Jose, Janet Tremain, Norm retrieval and phase retrieval by projections. Axioms, Special issue on Wavelet and Frame Constructions, with Applications, Volume 6, Number 1, 6, March 2017.
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
I am a mathematician and a mathematics educator with core research interests in the broad area of Generalized Inverses of Matrices, Operators, Functional Analysis and Harmonic Analysis. Currently I am working on 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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