Saint Louis University
Department of Mathematics and Statistics 		brody dylan johnson
220 North Grand Boulevard, Saint Louis, Missouri 63103. phone: (314) 977-2484, fax: (314) 977-1452, email: brody at slu dot edu

Publications in Mathematics:
  1. Stability of the A Trous Algorithm Under Iteration (with Simon McCreary-Ellis), Int. J. Wavelets Multiresolut. Inf. Process., 22(5) (2024). (doi)

  2. Pull-Back Cars: Vehicles for the Instruction of Differential Equations (with Tova Brown), Coll. Math. J., (2024). (doi)

  3. Dynamical Dual Frames, Annihilating Polynomials, and Spectral Radius (with Jonathan Ashbrock, Rocio Diaz Martin, Ivan Medri, and Alexander M. Powell), Special Issue on Harmonic Analysis, Image Processing and Integral Transforms (In honor of the 65th birthday of Professor Akram Aldroubi), Poincare J. Anal. Appl., Vol. 10(2), Special Issue, (2023), 27-53. (doi)

  4. Stability of Iterated Dyadic Filter Banks (with Marcin Bownik and Simon McCreary-Ellis), Appl. Comput. Harmon. Anal., (2023). (doi)

  5. Sparse recovery using the Discete Cosine Transform (with Benjamin Barros), "A Celebration of Guido L. Weiss for his Ninetieth Birthday", J. Geom. Anal., (2021). (pdf)

  6. Intrinsic four-point properties, (with Edward Andalafte, Raymond Freese, and Rebecca Lelko) J. Geom., 105(1) (2014), 1-11. (pdf)

  7. Quincunx wavelets on T2, (with Kenneth R. Hoover) "Wavelets and Multiscale Analysis: Theory and Applications," Appl. Numer. Harmon. Anal., Birkhäuser/Springer, New York, 2011. (pdf)

  8. A finite-dimensional approach to wavelet systems on the circle, Glasnik Matematicki, 46(2) (2011), 415-431. (pdf)

  9. Frame potential and finite abelian groups, (with Kasso A. Okoudjou) "Radon transforms, geometry, and wavelets," Contemp. Math., 464 (2008), 137-148. (pdf)

  10. Stable filtering schemes with rational dilations, J. Fourier Anal. Appl., 13(5) (2007), 607-621. (pdf)

  11. Orthogonal wavelet frames and vector valued wavelet transforms, (with Ghanshyam Bhatt and Eric Weber) Appl. Comput. Harmon. Anal., 23(2) (2007), 215-234. (pdf)

  12. The nonholonomy of the rolling sphere, Amer. Math. Monthly, 114(6) (2007), 500-508. (pdf)

  13. Convolutional frames and the frame potential, (with Matthew Fickus, Keri Kornelson, and Kasso Okoudjou) Appl. Comput. Harmon. Anal., 19(1) (2005), 77-91. (pdf)

  14. Co-affine systems in Rd, "Wavelets, frames and operator theory," Contemp. Math., 345 (2004), 193-202. (pdf)

  15. On the oversampling of affine wavelet frames, SIAM J. Math. Anal., 35(3) (2003), 623-638. (pdf)

  16. On the relationship between quasi-affine systems and the à trous algorithm, Collect. Math., 53(2) (2002), 187-210. (pdf)
Other Publications:
  1. Broadband control of plate radiation using a piezoelectric, double-amplifier active-skin and structural acoustic sensing, (with Chris R. Fuller) J. Acoust. Soc. Am., 107(2) (2000), 876-884. (pdf)

  2. A broadband passive-active sound absorption system, (with Jerome P. Smith and Ricardo A. Burdisso) J. Acoust. Soc. Am., 106(5) (1999), 2646-2652. (pdf)

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