These proceedings consist of ten carefully refereed and selected papers which were presented at the 12th symposium of Tunisian Mathematical Society held on March 18-23, 2004 in Mahdia (Tunisia). This symposium was one of the largest international meeting on Mathematics in Tunisia. A total of 200 participants from several countries attended to the meeting. In addition to the plenary, invited and contributed talks, there was a panel discussion on future research directions and problems in various areas of mathematics.

This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.

Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winners in the fields of complex geometry, algebraic geometry and analysis. The book offers a valuable resource for all researchers interested in recent developments in analysis and geometry.

This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.

AFRICACRYPT 2009washeld during June 21–25,2009in Gammarth,Tunisia. After AFRICACRYPT 2008 in Casablanca, Morocco,it was the second inter- tional research conference in Africa dedicated to cryptography. The conference received70 submissions;four of these wereidenti?ed as irr- ular submissions. The remaining papers went through a careful doubly ano- mous review process. Every paper received at least three reports; papers with a ProgramCommittee member asco-authorreceived?vereports.After the review period, 25 papers were accepted for presentation. The authors were requested to revisetheirpapersbasedonthecommentsreceived.Theprogramwascompleted with invited talks by Antoine Joux, Ueli Maurer and Nigel Smart. Firstandforemostwe wouldlike to thank the members ofthe ProgramC- mittee for the manyhoursspent onreviewinganddiscussing the papers,thereby producing more than 600 Kb of comments. They did an outstanding job. We wouldalsolike to thank the numerousexternalreviewersfor their assistance.We are also indebted to Shai Halevi for the support provided for his excellent Web- Submission-and-Review software package. We also wish to heartily thank Sami Ghazali, the General Chair, and Sami Omar, the General Co-chair, for their - fortsintheorganizationoftheconference.SpecialthanksgototheTunisianM- istry of CommunicationTechnologies,the National Digital Certi?cationAgency, and the Tunisian Internet Agency for their support of the organization. Finally, we would like to thank the participants, submitters, authors and presenters who all together made AFRICACRYPT 2009 a great success. I hope that the AFRICACRYPT conference tradition has now taken ?rm root and that we will witness a fruitful development of academic research in cryptology in Africa.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian–Japanese conference “Geometric and Harmonic Analysis on Homogeneous Spaces and Applications”, which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.