# Dr. Kenneth B. Howell

### Associate Professor Emeritus (i.e., retired with honors)

*"A journey of a thousand miles begins with a nice cup of
coffee."*

#### Address Information

#### Areas of Expertise:

- partial differential equations
- mathematical physics and modeling
- mathematics of elasticity
- potential theory
- signal processing
- optics and limited photon optics
- systems performance analysis
- generalized functions
- Fourier analysis.

#### Current Project: *Enjoying Retirement*

#### Selected Works

- "Fourier Transforms," Chapter 2 in The Transforms and Applications
Handbook (editor: A. Poulerikas) C.R.C. Press, 1995.
- "A New Theory for Fourier Analysis, Part V: Generalized Multiplication and
Convolution on the Dual Space", Journal of Mathematical Analysis and
Applications,
**187** (1994), 567-582.
- "A New Theory for Fourier Analysis, Part I: The Space of Test Functions,"
Journal of Mathematical Analysis and Applications,
**168** (1992), 342-350.
- "Thermal Modeling of Blowout Phenomena" (in Two Parts), technical report
prepared for the U.S. Army Strategic Defense Command (1989), 60+ pages
- "The Asymptotic Behavior of Doubly Periodic Strain States," Journal
of Elasticity,
**16** (1986), 43-61.

#### Books:

- Principles of Fourier Analysis, Chapman & Hall/CRC,
First Edition 2001, Second Edition 2017.
- Ordinary Differential Equations: An Introduction to the
Fundamentals, Chapman & Hall/CRC,
First Edition 2016, Second Edition 2020.

#### Professional Background

- Ph.D. (math) Indiana University, 1978.
- M.S. (math) Indiana University, 1975.
- B.S. (math) and B.S. (physics) Rose-Hulman Inst. of Technology, 1973.
- At UAH since 1981 (retired 2014).