Report on the
The Twenty-Second Summer Symposium in Real Analysis was held at the University of California at Santa Barbara, June 23 -- 27, 1997 and was held to celebrate the contributions Andy Bruckner has made to real analysis. The conference was sponsored by the National Science Foundation (Grant #DMS-9800357), The TRW Corporation, The Faculty Senate of the University of California-Santa Barbara, former recipients of the coveted And, and and Andy's Ph.D. students. Without the generous financial help supplied by these organizations, the scope of the conference would have been significantly narrower. The Editorial Board of the Exchange and the participants of the conference thank them.
The conference was ably organized by Professor Charles Akemann (UC-Santa Barbara), Paul Humke (St. Olaf College) and T.H. Steele (Weber State University) and the Editorial Board of the Exchange wishes to take this opportunity to gratefully acknowledge their leadership in this endeavor.
At the traditional Friday evening banquet various participant's took turns ``roasting'' and warmly honoring Andy Bruckner. At the conclusion of the evening Paul Humke announced that this year's recipient of the ANDY award is appropriately Judy Bruckner. Congratulations, Judy and thank you for sharing Andy with us.
The conference featured invited fifty-minute addresses by:
| Casper Goffman, | West Lafeyette |
| Miklos Laczkovich, | Budapest |
| Alexander Olevskii, | Tel Aviv |
| Gyorgy Petruska, | Budapest |
| Brian Thomson, | Vancouver |
| Perti Mattila, | Jyvaskyla |
as well as thirty-one twenty-minute contributed talks.
| Steve Agronsky (San Luis Obispo) | Charles Akemann (Santa Barbara) |
| J. Marshall Ash (Chicago) | Harold Atkinson (Windsor) |
| Bob Biskner (Santa Barbara) | George U. Brauer (Minneapolis) |
| Jack B. Brown ( Auburn) | Jane Brown (Auburn) |
| Andrew M. Bruckner (Santa Barbara) | Judith Bruckner (Santa Barbara) |
| Zolt\'an Buczolich ( Budapest) | Peter Bullen (Vancouver) |
| Alietia Caughron (Kansas City)< | Jack Ceder (Santa Barbara) |
| Krzysztof Ciesielski ( Morgantown) | Mark Coodey (Malibu) |
| Marianna Cs\"{o}nyei (Budapest) | Emma D'Aniello (Naples) |
| Thierry De Pauw (Louvain-la Neuve) | Martin Dindos (Chapel Hill) |
| Hussain Elalaoui-Talibi (Auburn) | Michael J. Evans (Lexington) |
| Henry Fast (San Jose) | Hajrudin Fejzic ( San Bernardino) |
| James Foran ( Kansas City) | Chris Freiling (San Bernardino) |
| Ian June L. Garces (Manila) | Krishna M. Garg (Edmonton) |
| Casper Goffman (West Lafeyette) | Russell Gordon (Walla Walla) |
| Raymond Grinnell (Bridgetown) | Don Hancock (Algoura Hills) |
| Ralph Henstock ( Coleraine) | Eric Howard (Kirksville) |
| Paul D. Humke (Northfield) | Sara Jones (Colorado Springs) |
| Greg Kaestle (Agoura Hills) | Judit Kardos (East Windsor) |
| Tam\'{a}s Keleti (Budapest) | Kenneth Kellum (San Jose) |
| Mikl\'{o}s Laczkovich (Budapest) | Cheng-Ming Lee ( Milwaukee) |
| Larry Lindsay (Denton) | Rick Mabry (Shreveport) |
| Anna B. Maciejewska (Louisville) | Pertti Mattila (Jyv\"askyl\"a) |
| Mark McClure (Asheville) | Alica Miller (East Lansing) |
| Christopher K. Miller (Goleta) | Michal Morayne (Wroc\l aw) |
| John C. Morgan II (Pomona) | Shizu Nakanishi (Osaka) |
| C. J. Neugebauer (West Lafayette) | Togo Nishiura (Carlisle) |
| Richard O'Malley (Milwaukee) | Jimmy Peterson (Normal) |
| Gyorgy Petruska (Budapest) | Pamela Pierce (Wooster) |
| Dave L. Renfro (Natchitoches) | Giuseppa Riccobono (Palermo) |
| Dan Rinne (San Bernardino) | Hongjian Shi (Burnaby) |
| Jaroslav Sm\'{\i}tal (Opava) | David Sprecher (Montecito) |
| T. H. Steele (Ogden) | Jason H. Steffen (Fruit Heights) |
| A. H. Stone (Brookline) | Dorothy Maharam Stone ( Brookline) |
| Ralph Svetic ( Milwaukee) | Brian S. Thomson (Burnaby) |
| Tim Traynor ( Windsor) | Robert W. Vallin (Slippery Rock) |
| Hans Volkmer ( Milwaukee) | Jeremy Walthers (Ogden) |
| Daniel Waterman (Boynton Beach) | Jo Ann Weller (Lee's Summit) |
| Nahum Zobin (Columbus) |
TUESDAY Evening:
WEDNESDAY Morning: ( Chairs: Peter Bullen and Zoltan Buczolich )
08:10 Brian Thomson Some
influences 09:10 Russell Gordon
The Bounded Convergence Theorem for the Riemann integral 09:40 Giuseppa Riccobono
A PU-integral on a compact topological measure space 10:40 John C. MorganII
Transcendental point set theory 11:10 Krishna Garg
A unified theory of unilateral derivates 11:40 Rick Mabry
Subsets of the plane having constant linear shade
WEDNESDAY Afternoon: ( Chairs: Paul Humke and Michael Evans)
14:00 Tam\'as Keleti
Dynkin systems generated by large balls
14:30 Pamela Pierce
Functions of bounded mean variation
15:00 Alexander Olevskii
Approximation by almost integer translates 16:30 Raymond Grinnell
Functions preserving sequence spaces 17:00 J.Marshall Ash
Nonuniqueness for orthonormal systems
THURSDAY Morning: ( Chairs: Jack Brown and Jack Ceder)
08:00 Nahum Zobin
Whitney's problem on extendability of functions
and an intrinsic metric 08:30 Richard O'Malley
Universally polygonally approximable functions 09:00 Mikl\'os Laczkovich
Elementary functions 10:40 James Foran
Length of the graph of one-to-one functions
from [0,1] onto [0,1] 11:05 Sara Jones
Applications of the Baire Category Theorem 11:30 Kenneth Kellum
Compositions of Darboux and connectivity functions 11:55 C.J.Neugebauer
Transmission of convergence
FRIDAY Morning: ( Chairs: Jaroslav Sm\'\ital and James Foran)
08:00 Martin Dindo\vs
Limits of transfinite convergent sequences of
derivatives
08:30 MariannaCs\"ornyei
Differentiability points of a distance function
09:00 Gyorgy Petruska
Points of non-differentiability of differentiable
functions
10:40 Krzysztof Ciesielski
Darboux-like functions on \mathbb R^n within the
classes
of Baire one, Baire two, and additive
functions
11:00 U.B.Darji and MichalMorayne
Level sets of typical C^n functions
11:30 Henry Fast
Remarks on directional indicatrices of real functions
12:00 Robert Vallin
Sub-self-similar sets and boundaries
FRIDAY Afternoon: ( Chair: Russell Gordon)
14:00 Emma D'Aniello
A Stone space approach to the existence of
bounded common extensions 14:30 Ian June L. Garces On the H_1
-integral 15:00 Ralph Henstock
Limits of Cesaro-Perron and similar integrals
SATURDAY Morning: ( Chairs: Sara Jones and Gyuri Petruska )
08:00 Hans Volkmer
The minimal Denjoy index of a symmetric perfect set 08:30 Ralph Svetic
The Denjoy index and symmetric perfect sets 09:00 Pertti Mattila
Menger curvature of rectifiable and fractal subsets of the
plane 10:40 Mark McClure
The Hausdorff dimension of Hilbert's coordinate functions 11:00 Jaroslav Sm\'\ital
An omega limit set universal function on [0,1] 11:30 Zolt\'an Buczolich
Real analysis and dynamics 12:00 Hongjian Shi
Prevalent properties in function spaces 12:30 T.H.Steele
The continuity of f\longmapsto \cup _x\in I\omega
(x,f) and f\longmapsto \\omega (x,f):x\in I