Carl S. Herz

Carl Samuel Herz (10 April 1930 – 1 May 1995) was an American-Canadian mathematician, specializing in harmonic analysis. His name is attached to the Herz–Schur multiplier. He held professorships at Cornell University and McGill University, where he was Peter Redpath Professor of Mathematics at the time of his death.

Education and career

Herz received his bachelor's degree from

In 1978 he was elected of a Fellow of the Royal Society of Canada. In 1986 he was awarded the Jeffery–Williams Prize by the Canadian Mathematical Society. He was the president of the Canadian Mathematical Society in 1987–1989.^[4] The Institut des sciences mathématiques, a consortium of eight Quebec universities of which Herz was Director at the time of his death, established the Carl Herz Prize in his honor.^[5]

Personal life

Herz met Judith Scherer, a Professor of English, while teaching at Cornell. They were married in 1960. They had two children, Rachel and Nathaniel. Rachel is a psychologist and cognitive neuroscientist, specializing in the psychology of smell. Nathaniel is a trained lawyer working as web developer.

Selected publications

• Herz, C. S. (1954). "On the mean inversion of Fourier and Hankel transforms". Proc Natl Acad Sci U S A. 40 (10): 996–999.
  PMID 16589594
  .
• Herz, Carl S. (May 1955). "Bessel functions of matrix argument". Annals of Mathematics. 61 (3): 474–523.
  JSTOR 1969810
  .
• Herz, C. S. (1956). "Spectral synthesis for the Cantor set". Proc Natl Acad Sci U S A. 42 (1): 42–43.
  PMID 16589812
  .
• "A note on summability methods and spectral theory". Trans. Amer. Math. Soc. 86: 506–510. 1957.
  MR 0093685
  .
• "A note on the span of translations in L^p". Proc. Amer. Math. Soc. 8: 724–727. 1957.
  MR 0088604
  .
• Herz, Carl S. (1960). "The spectral theory of bounded functions". Trans. Amer. Math. Soc. 94 (2): 181–232.
  MR 0131779
  .
• Herz, C. S. (1961). "A maximal theorem". Proc. Amer. Math. Soc. 12 (2): 229–233.
  MR 0151861
  .
• Herz, C. S. (1963). "A class of negative-definite functions". Proc. Amer. Math. Soc. 14 (4): 670–676.
  MR 0158251
  .
• Herz, Carl (1971). "The theory of p-spaces with an application to convolution operators". Trans. Amer. Math. Soc. 154: 69–82.
  MR 0272952
  .
• Herz, Carl (1974). "Bounded mean oscillation and regulated martingales". Trans. Amer. Math. Soc. 193: 199–215.
  MR 0353447
  .
• Herz, Carl (1991). "The derivative of the exponential map". Proc. Amer. Math. Soc. 112 (3): 909–911.
  MR 1086328
  .