The Illinois Journal of Mathematics was founded in 1957 by R. Baer, J.L. Doob, A. Taub, G. Whitehead, and O. Zariski. The inaugural volume featured papers of many of the world's leading figures in the key areas of mathematics at the time. Since its inception, the IJM has published many influential papers, most notably the proof of the Four Color Conjecture by K. Appel and W. Haken. Distinguished researchers such as J. Bourgain, A. Calderon, S.S. Chern, H. Kesten, and K. Uhlenbeck have served as Editors of the IJM.

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### Volume 38, Issue 2

#### Publication Date: Summer 1994

Frontmatter

Conjugate expansions for Hermite functions

J. Gosselin and K. Stempak; 177-197

Regular orbits of nilpotent subgroups of solvable groups

Walter Carlip; 198-222

Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains

Marco M. Peloso; 223-249

Pettis integrals and singular integral operators

Brian Jefferies and Susumu Okada; 250-272

Codimension reduction theorems in conformal geometry

Giuliano Romani; 273-282

A preservation principle of extremal mappings near a strongly pseudoconvex point and its applications

Xiaojun Huang; 283-302

Low dimensional sections of basic semialgebraic sets

Carlos Andradas and Jesús Ruiz; 303-326

Restrictions of Fourier transforms to flat curves in $\mathbf{R}$

Jong-Guk Bak; 327-346

Backmatter