Summer Symposium in Real Analysis XXXIV
"The Buckeye Symposium"
The Thirty-Fourth Summer Symposium in Real Analysis (The Buckeye Symposium) was hosted by The College of Wooster July 13-17, 2010. The Editorial Board of the EXCHANGE wishes to express its gratitude to The College of Wooster for its gracious hospitality and to the conference director, Pamela Pierce, for her outstanding leadership in organizing and conducting this symposium. Furthermore, both Pamela and the Editorial Board sincerely thank The National Science Foundation. The Buckeye Symposium was supported in part by grant DMS-1011888 from the National Science Foundation. We also are indebted to The College of Wooster for their financial and administrative support of this conference.
\In addition to the formal mathematical program, time was set aside for research collaboration and a problem session. Wednesday evening found many of the participants enjoying the Ohio Light Opera's production of John Philip Sousa's {\em El Capitain}. On Thursday afternoon, the symposium participants were treated to a delightfully informative tour of the Amish region near Wooster. At the traditional Friday evening banquet, Conference Director Pierce awarded the {\it ANDY}' to {\bf Marianna Csornyei}. Congratulations, Marianna!
The conference featured invited one-hour addresses by:as well as twenty-nine contributed talks. Following the participant list is the program of the Symposium, and then the summaries of the talks. The editorial board of the EXCHANGE wishes to thank the speakers for preparing these summaries.
9:00 P. Pierce and P. Humke
Opening Remarks and Announcements
9:10
Carolyn Newton, Provost of The College of Wooster
Welcome to Wooster!
9:25
S. Krantz
Convexity in Real Analysis
10:45
M. McClure
Finite Type Iterated Function Systems: a Computational Perspective
11:10
C. Jones
The Golden Ana Set
11:35
E. Talvila
Convolutions With the Continuous Primitive Integral
13:10
K. Naralenkov
On Continuity and Compactness of Some Vector-Valued Integrals
13:55
L. Obadalova
Irregular Recurrence in Compact Metric Spaces
14:20
G. Edgar
Fractional Iteration of Series and Transseries
14:45
E. Samansky
Probability Measures on Shrinking Neighborhoods
15:30
M. Zähle
Local and Global Curvatures of Self-Similar Sets
15:55
O. Zindulka
Are Functions with a Monotone Graph Smooth?
16:20
R. Vallin
Results for Slowly Oscillating Continuous Functions
16:20
P. Humke
Transference of Density May be Possible
9:00
R. Kantrowitz
Banach Algebra Norms for Spaces of Functions of Generalized Bounded Variation
9:25
D. Waterman
Variations on Axer's Theorem
9:50
E. M. Bonotto
A Feynman-Kac Solution to a Random Impulsive Equation of Schrädinger Type
10:40
G. DeSouza
A New Characterization of the Lorentz Spaces L(p,1) for p>1 and Applications
11:05
E. A. Kwessi
Characterization of Lacunary Functions in Weighted Bergman Besov Lipschitz Spaces
11:30
J. Kawabe
New Smoothness Conditions on Riesz Spaces with Applications to Riesz Space-Valued Non-Additive Measures and Their Choquet Integrals
8:45
M. Csörnyei
Lipschitz Mappings
10:05
C. K. Basu
Uniformization Subtopology and a Sort of Converse of A. H. Stone's Theorem
10:35
P. Sworowski
On Baire One* Approximately Continuous Functions
10:55
P. Allart
Where does Takagi's Continuous, Nowhere Differentiable Function Have an Infinite Derivative?
11:20
K. Kawamura
The Derivative of Lebesgue's Singular Function
13:30
B. Choudhary
A Natural Extension of the Henstock-Kurzweil Integral
13:55
M. Federson
Linear FDEs in the Frame of Generalized ODEs: a Justification for Using Kurzweil Equations
14:20
U. Darji
Chaos Among Self-Maps of the Cantor Space
14:45
P. Musial
The $L^r$ Variational Integral
15:30
J. Smital
Distributional Chaos After 16 years
15:55
J. Adduci
Basis Properties of the Eigensystem of a Perturbed Harmonic Oscillator
16:20
T. Sworowska
On Recovery of a Function from its Trigonometric Integral
16:45
M. Evans
Baire one, Gibson and Weakly Gibson Real Functions of Several Real Variables