L2 regularity of measurable solutions of a finite-difference equation of the circle

We show that if $\varphi$ is a lacunary Fourier series and the equation $\psi (x) -\psi (x + \alpha) = \varphi(x), x \bmod 1$ has a measurable solution $\varphi$, then in fact the equation has a solution in L2. This work of Michel Herman (1942-2000) appeared only as a preprint of the Mathematics Institute, University of Warwick, dated May 1976. It was turned into TEX format by Claire Desescures. Minor editorial work was done by Albert Fathi

Interview with Stewart Herman, September 5, 2001

Steward Herman was interviewed on September 5, 2001 by Michael J. Birkner about his time at Gettysburg College in the 1920\u27s & 30\u27s. Herman discusses his classes at the time, as well as extra-curricular activities he participated in, including the Gettysburgian, the Mercury, Owl & Nightingale Players and Phi Sigma Kappa fraternity. He also describes his education at Gettysburg Seminary and working as an American pastor in Berlin during WWII. Length of Interview: 52 minutes Collection Note: This oral history was selected from the Oral History Collection maintained by Special Collections & College Archives. Transcripts are available for browsing in the Special Collections Reading Room, 4th floor, Musselman Library. GettDigital contains the complete listing of oral histories done from 1978 to the present. To view this list and to access selected digital versions please visit -- http://gettysburg.cdmhost.com/cdm/landingpage/collection/p16274coll