Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Gen

The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian gro

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Radomir S. Stanković · Paul L. Butzer Ferenc Schipp · William R. Wade Authors/Co-Authors

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations A Monograph Based on Articles of the Founding Authors, Reproduced in Full in Collaboration with the Co-Authors Weiyi Su, Yasushi Endow, Sándor Fridli, Boris I. Golubov, Franz Pichler Kees (C.W.) Onneweer

Atlantis Studies in Mathematics for Engineering and Science Volume 13

Series editor Charles K. Chui, Department of Statistics, Stanford University, Stanford, California, USA

Aims and scope of the series The series ‘Atlantis Studies in Mathematics for Engineering and Science’ (AMES) publishes high quality monographs in applied mathematics, computational mathematics, and statistics that have the potential to make a significant impact on the advancement of engineering and science on the one hand, and economics and commerce on the other. We welcome submission of book proposals and manuscripts from mathematical scientists worldwide who share our vision of mathematics as the engine of progress in the disciplines mentioned above. For more information on this series and our other book series, please visit our website at: www.atlantis-press.com/publications/books Atlantis Press 8, square des Bouleaux 75019 Paris, France

More information about this series at http://www.springer.com/series/10071

Radomir S. Stanković Paul L. Butzer Ferenc Schipp William R. Wade •



Authors/Co-Authors

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations A Monograph Based on Articles of the Founding Authors, Reproduced in Full in Collaboration with the Co-Authors Weiyi Su Yasushi Endow Sándor Fridli Boris I. Golubov Franz Pichler Kees (C.W.) Onneweer

Authors Radomir S. Stanković Faculty of Electronic Engineering Nis Serbia

Co-Authors Weiyi Su Mathematics Nanjing University Nanjing China

Paul L. Butzer Lehrstuhl A für Mathematik RWTH Aachen Aachen Germany

Yasushi Endow Chuo University Tokyo Japan

Ferenc Schipp Numerical Analysis Eötvös Loránd University Budapest Hungary

Sándor Fridli Numerical Analysis Eötvös Loránd University Budapest Hungary

William R. Wade Mathematics and Computer Science BIOLA University La Miranda, California USA

Boris I. Golubov Chair of Higher Mathematics Moscow Institute of Physics and Technology (State University) Dolgoproudny, Moscow Region Russia Franz Pichler System Theory Johannes Kepler University, Linz Linz Austria Kees (C.W.) Onneweer Department of Mathematics and Statistics University of New Mexico Albuquerque USA

ISSN 1875-7642 ISSN 2467-9631 (electronic) Atlantis Studies in Mathematics for Engineering and Science ISBN 978-94-6239-162-8 ISBN 978-94-6239-163-5 (eBook) DOI 10.2991/978-94-6239-163-5 Library of Congress Control Number: 2015955598 © Atlantis Press and the author(s) 2015 This book, or any parts thereof, may not be reproduced for commercial purposes in any form or by any means, electro