Recent Papers
- L. Hart, C. Heil, I. Katz, and M. Northington V,
Overcomplete reproducing pairs, arXiv:2311.04421.
- C. Heil and P.-T. Yu,
ℓ1-bounded sets, arXiv:2307.05536.
- C. Heil and P.-T. Yu,
Convergence of frame series,
J. Fourier Anal. Appl., 29 (2023), no. 1, Paper No. 14, 13 pages.
- Y.-S. Cheng and C. Heil,
Existence of finite unit-norm tight frames in Banach spaces,
Graduate J. Math., 7 (2022), 17-38.
- C. Heil,
Absolute Continuity and the Banach-Zaretsky Theorem,
in: "Excursions in Harmonic Analysis," Volume 6
M. Hirn et al., eds., Birkhäuser, Cham (2021), 27-51.
Related lecture on
Absolute Continuity and the Banach-Zaretsky Theorem,
presented at the
Faraway Fourier Talks on March 29, 2021.
This talk gives a streamlined discussion of the main topics from
Chapters 5 and 6 of my text "Introduction to Real Analysis".
The HRT Conjecture
- C. Heil and D. Speegle,
The HRT Conjecture and the Zero Divisor Conjecture for the
Heisenberg group,
in: "Excursions in Harmonic Analysis," Volume 3,
R. Balan et al., eds., Birkhäuser/Springer, Cham (2015), 159--176.
- C. Heil,
Linear independence of finite Gabor systems,
in: "Harmonic Analysis and Applications,"
Birkhäuser, Boston (2006), 171-206.
Errata.
- C. Heil, J. Ramanathan, and P. Topiwala,
Linear independence of time-frequency translates,
Proc. Amer. Math. Soc., 124 (1996), 2787-2795.
Surveys and Pretty Good Expository Papers
- C. Heil,
Absolute Continuity and the Banach-Zaretsky Theorem,
in: "Excursions in Harmonic Analysis," Volume 6
M. Hirn et al., eds., Birkhäuser, Cham (2021), 27-51.
Related lecture on
Absolute Continuity and the Banach-Zaretsky Theorem,
presented at the
Faraway Fourier Talks on March 29, 2021.
This talk gives a streamlined discussion of the main topics from
Chapters 5 and 6 of my text "Introduction to Real Analysis".
- C. Heil,
A Brief Guide to Metrics, Norms, and Inner Products,
2016 (electronic manuscript, 66 pages).
A greatly expanded version of this manuscript has been
published by Birkhäuser under the title
"Metrics, Norms, Inner Products, and Operator Theory."
- C. Heil,
WHAT IS a Frame?,
Notices Amer. Math. Soc.
,