Kathryn E. Hare

Last updated
Kathryn E. Hare
Born1959 (age 6364)
Alma mater
Scientific career
FieldsMathematics
InstitutionsUniversity of Waterloo
Thesis Thin Sets and Strict-Two-Associatedness  (1986)
Doctoral advisor John Fournier

Kathryn Elizabeth Hare (born 1959) [1] is a Canadian mathematician specializing in harmonic analysis and fractal geometry. [2] She was the Chair of the Pure Mathematics Department at the University of Waterloo from 2014 to 2018. [3] She retired from the University of Waterloo in 2021.

Contents

Education and career

Hare did her undergraduate studies at the University of Waterloo, graduating in 1981. [2] She earned a Ph.D. from the University of British Columbia in 1986. Her dissertation, under the supervision of John J. F. Fournier, was Thin Sets and Strict-Two-Associatedness, and concerned group representation theory. [2] [4]

She was an assistant professor at the University of Alberta from 1986 to 1988, before she moved back to Waterloo. [2]

Awards and recognition

In 2011, the Chalmers University of Technology awarded her an Honorary Doctorate for her "prominent research, both in extent and depth, within classical and abstract harmonic analysis". [5] In 2020 she was named as a Fellow of the Canadian Mathematical Society. [6]

Selected publications

Related Research Articles

In mathematics, the factorial of a non-negative integer , denoted by , is the product of all positive integers less than or equal to . The factorial of also equals the product of with the next smaller factorial:

<span class="mw-page-title-main">Josip Plemelj</span> Slovenian mathematician (1873–1967)

Josip Plemelj was a Slovene mathematician, whose main contributions were to the theory of analytic functions and the application of integral equations to potential theory. He was the first chancellor of the University of Ljubljana.

<span class="mw-page-title-main">Norbert Wiener</span> American mathematician and philosopher

Norbert Wiener was an American mathematician and philosopher. He was a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher in stochastic and mathematical noise processes, contributing work relevant to electronic engineering, electronic communication, and control systems.

In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions:

In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). The Hilbert transform is given by the Cauchy principal value of the convolution with the function (see § Definition). The Hilbert transform has a particularly simple representation in the frequency domain: It imparts a phase shift of ±90° (π2 radians) to every frequency component of a function, the sign of the shift depending on the sign of the frequency (see § Relationship with the Fourier transform). The Hilbert transform is important in signal processing, where it is a component of the analytic representation of a real-valued signal u(t). The Hilbert transform was first introduced by David Hilbert in this setting, to solve a special case of the Riemann–Hilbert problem for analytic functions.

<span class="mw-page-title-main">Projective line over a ring</span> Projective construction in ring theory

In mathematics, the projective line over a ring is an extension of the concept of projective line over a field. Given a ring A with 1, the projective line P(A) over A consists of points identified by projective coordinates. Let U be the group of units of A; pairs (a, b) and (c, d) from A × A are related when there is a u in U such that ua = c and ub = d. This relation is an equivalence relation. A typical equivalence class is written U[a, b].

In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular integral is an integral operator

<span class="mw-page-title-main">Alexandra Bellow</span> Romanian-American mathematician

Alexandra Bellow is a Romanian-American mathematician, who has made contributions to the fields of ergodic theory, probability and analysis.

<span class="mw-page-title-main">Cameron Leigh Stewart</span> Canadian mathematician

Cameron Leigh Stewart FRSC is a Canadian mathematician. He is a professor of pure mathematics at the University of Waterloo.

<span class="mw-page-title-main">Hans Georg Feichtinger</span> Austrian mathematician

Hans Georg Feichtinger is an Austrian mathematician. He is Professor in the mathematical faculty of the University of Vienna. He is editor-in-chief of the Journal of Fourier Analysis and Applications (JFAA) and associate editor to several other journals. He is one of the founders and head of the Numerical Harmonic Analysis Group (NuHAG) at University of Vienna. Today Feichtinger's main field of research is harmonic analysis with a focus on time-frequency analysis.

Lee Albert Rubel was a mathematician known for his contributions to analog computing.

<span class="mw-page-title-main">Jenő Szép</span> Hungarian mathematician

Jenő Szép was a Hungarian mathematician and professor at the University of Economics, Budapest. His main research interests were group theory and game theory. He was a founder of the journal Pure Mathematics and Applications (PUMA).

Daniel Gisriel Rider, Jr. was a mathematician, specializing in harmonic analysis and Fourier analysis.

Angela Sue Spalsbury is an American mathematician specializing in functional analysis. She is a former president of Pi Mu Epsilon, the dean and chief administrator of the Geauga campus of Kent State University, and the co-author of a book on Haar measure, The Joys of Haar Measure, with Joe Diestel.

Gail Susan Nelson is a mathematician who works as a professor of mathematics at Carleton College.

<span class="mw-page-title-main">Annette Imhausen</span> German mathematician, archaeologist, historian of mathematics and egyptologist

Annette Imhausen is a German historian of mathematics known for her work on Ancient Egyptian mathematics. She is a professor in the Normative Orders Cluster of Excellence at Goethe University Frankfurt.

Nail Hairullovich Ibragimov was a Russian mathematician and mathematical physicist. At his death he was a professor emeritus at the Blekinge Institute of Technology. Ibragimov's research area was differential calculus, group analysis and mathematical physics. He was the author of many books on mathematics and mathematical physics.

Dona Anschel Papert Strauss is a South African mathematician working in topology and functional analysis. Her doctoral thesis was one of the initial sources of pointless topology. She has also been active in the political left, lost one of her faculty positions over her protests of the Vietnam War, and became a founder of European Women in Mathematics.

Jennifer Carol Schultens is an American mathematician specializing in low-dimensional topology and knot theory. She is a professor of mathematics at the University of California, Davis.

Zdeněk Hedrlín was a Czech mathematician, specializing in universal algebra and combinatorial theory, both in pure and applied mathematics.

References

  1. Birth year from ISNI authority control file, retrieved 2018-11-28.
  2. 1 2 3 4 "Kathryn E. Hare | Pure Mathematics". Pure Mathematics. University of Waterloo. 7 January 2015. Retrieved 8 December 2017.
  3. "Our People - Officers & Administration | Pure Mathematics". Pure Mathematics. University of Waterloo. Retrieved 8 December 2017.
  4. Kathryn E. Hare at the Mathematics Genealogy Project
  5. "Honorary Doctorates 2011". Chalmers University of Technology. 2011-03-31. Retrieved 2019-06-19.
  6. "Fellows of the CMS". Canadian Mathematical Society. Retrieved 2021-05-12.
  7. Selected as a featured review in MathSciNet: McGehee, C. (1995), Featured review of "On permutations of lacunary intervals", MR 1308014.
  8. Galindo, Jorge, Review of Interpolation and Sidon Sets for Compact Groups, MR 3025283.
  9. Hare, Kathryn E.; He, Jimmy (20 October 2016). "The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces". Monatshefte für Mathematik. 182 (3): 619–635. arXiv: 1511.05799 . doi:10.1007/s00605-016-0999-5.