Department of Mathematics
Missouri State University


William O. Bray

Professor of Mathematics
& Department Head

8M Cheek Hall




 Teaching Activities

Fall 2022.   

MTH 302 Multivariate Calculus


MTH 701 Real Variables I

Scholarly Activities


    Textbook: A Journey into Partial Differential Equations published by Jones & Bartlett Learning in early 2011. Click the picture for more information.


Selected Publications

  • Inversion formulas in integral geometry in real hyperbolic space, Contemporary Math 733 (2019) coauthor: Boris Rubin.
  • Radon transforms over lower dimensional horospheres in real hyperbolic space, Trans. Amer. Math. Soc. 372 (2), p1091-1112 (2019), coauthor: Boris Rubin, DOI:
  • Growth & integrability of Fourier transforms on Euclidean space, Jour. Fourier Anal. Appl. 20 (2014) p1234-1256.
  • Growth properties of Fourier transforms, Filomat 26:4 (2012) University of Nis, p755-760, coauthor: M.A. Pinsky.
  • Periodic Heat Kernel, published on the Wolfram Research Demonstration Project (2009).
  • Growth properties of Fourier transfroms via moduli of continuity, Jour. Func. Anal. 255 (2008), p2265-2285, coauthor: M.A. Pinsky.
  • Transplantation formulas & Hadamard's method of descent, Proc. Edin. Math. Soc. 50 (2007), p277-292.
  • Eigenfunction expansions on geodesic balls and rank one symmetric spaces of compact type, Annals of Global Geometry and Analysis 18 (2000) p347-369, coauthor: M.A. Pinsky.
  • Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-type transform, Chapter 7 in Analysis of Divergence: Control and Management of Divergent Processes, Birkhauser (1998), editors W.O. Bray and C.V.Stanojevic.
  • Pointwise inversion on rank one symmetric spaces and related topics, Jour. Funct. Anal. 151 (1997) p306-333, coauthor: M.A. Pinsky.
  • Generalized spectral projections on symmetric spaces of non-compact type: Paley-Wiener theorems, Jour. Funct. Anal. 135 (1996) p202-232.
  • Summability of trigonometric series and Calderon reproducing formulas, Publ. Inst. Math. (Beograd) 58 (1995) p21-34.
  • Aspects of harmonic analysis on real hyperbolic spaces, Chapter 5 in Fourier Analysis: Analytic and Geometric Aspects, Marcel Dekker (1994), editors W.O. Bray, P.S. Milojevic, and C.V. Stanojevic.
  • A spectral Paley-Wiener theorem, Monat. Math. 116 (1993) p1-11.

Complete Vita

Last Modified: 12/31/2015