The Workshop on Walsh and Dyadic Analysis has been held on October 18-19, 2007, at the Department of Computer Science, Faculty of Electronics, University of Niš, Serbia. 

The Workshop has been dedicated to the memory of James Edmund Gibbs.

This book contains an unpublished paper by J. Edmund Gibbs written in 2004, and elaborated and extended versions of 16 papers presented at the Workshop.

Jaakko T. Astola, Professor, Department of Signal Processing, Faculty of Computing and Electrical Engineering, Tampere University of Technology, Tampere, Finland.

Nikolaos Atreas, Professor, Department of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.

Mikhail S. Bespalov, Professor, Dept. FAIP (mathematics), Vladimir State University, Gorkii st. 87, 600000 Vladimir, Russia.

Sandor Fridli, Professor, Department of Numerical Analysis, Eötvös L. University, Budapest, Pázmány P. sétány 1nC, H-1117 Hungary.

Marion Gibbs, 9 Marry Field Road, Petersfield, United Kingdom.

Boris I. Golubov, Professor, Department of Higher Mathematics Moscow Institute of Physics and Technology (State University), Moscow, Russia.

Costas Karanikas, Professor, Department of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.

Natalia N. Kholshchevnikova, Professor, Moscow State University of Technology “Stankin”, Moscow, Russia.

Franz Pichler, Professor Emeritus, Johannes Kepler University, Linz, Austria.

Mikhail G. Plotnikov, Professor, Department of Mathematics, Vologda State Milk Industry Academy, Vologda 160555, Russia.

Download PDF of “Walsh and Dyadic Analysis”

Marion Gibbs “James Edmund Gibbs 1928-2007”, [pdf]

Marion Gibbs “Edmund Gibbs by Marion Gibbs”, [pdf]

Pichler, F., “Remembering J. Edmund Gibbs”, [pdf]

Gibbs, J.E., “Fourier Analysis in a Space of Charactetristic Functions of Subsets of the Rational Numbers”, [pdf]

Su, Weiyi, “Gibbs Derivatives – the Development over 40 Years in China”, [pdf]

Plotnikov, M.G., Skvortsov, V.A., “Generalized Integrals in Walsh Analysis”, [pdf]

Golubov, B.I., “Dyadic Distributions”, [pdf]

Golubov, B.I., “On Dyadic Fractional Derivatives and Integrals”, [pdf]

Schipp. F., “Wavelet Like Transform on the Blaschke Group”, [pdf]

Fridli, S., “Applications of Sidon Type Inequalities”, [pdf]

Weisz, F., “Summability of Walsh-Fourier Setries and the Dyadic Derivative”, [pdf]

Karanikas, C., Atreas, N., “Discrete Type Riesz Products”, [pdf]

Atreas, N., D., “A Walsh-type Multiresolution Analysis”, [pdf]

Stankovic, R.S., Astola, J.T., “Gibbs Derivatives, 40 Years After the Introduction of the Concept”, [pdf]

Pichler, F., “Walsh-Fourier Analysis of Boolean Combiners in Cryptography”, [pdf]

Kholshchevnikova, N.N., “Walsh Series of Countably Many Variables”, [pdf]

Plotnikov, M.G., “Sets of Uniqieness for Multiple Walsh Series”, [pdf]

Bespalov, M.S., “Construction and Properties of Discrete Walsh Transform Matrices”, [pdf]

Skvortsov, V.A., Tulone, F., “An Inversion Formula for the Multiplicative Integral Transform”, [pdf]

Thanks are due to the staff of the Computer Intelligence and Information Technologies (CIIT) Lab of the Faculty of Electronics, and members of the Professional Student Clubs, GNU at the University and 3D Archeology for the help in organization and running the Workshop.