We introduce a class of multilinear singular integral forms which generalize the Christ-Journe multilinear forms. The research is partially motivated by an approach to Bressan’s problem on incompressible mixing flows. A key aspect of the theory is that the class of operators is closed under adjoints (i.e. the class of multilinear forms is closed under permutations of the entries). This, together with an interpolation, allows us to reduce the boundedness.

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.

This text is an introduction to the future of mass media and mass communications - cross-media communications. Cross-media is explained through the presentation and analysis of contemporary examples and project-based tutorials in cross-media development. The text introduces fundamental terms and concepts, and provides a solid overview of cross-media communications, one that builds from a general introduction to a specific examination of media and genres to a discussion of the concepts involved in designing and developing cross-media communications. There is also an accompanying DVD-ROM full of hands-on exercises that shows how cross-media can be applied. For the DVD-ROM: http: //www.lulu.com/content/817927

This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.

"Extraordinarily timely and useful. As China emerges as an economic and political world power that seems to have done away with religion, in fact it is witnessing a religious revival. The thoughtful essays in this book show both the historical conflicts between state authorities and religious movements and the contemporary encounters that are shaping China's future. I am aware of no other book that covers so much ground and can be used so well as an introduction to this important field." —Peter van der Veer, University of Utrecht

"The impact of technology on society is clear and unmistakeable. The influence of society on technology is more subtle. The 13 essays in this book have been written by a diverse group of scholars united by a common interest in creating a new field - the sociology of technology. They draw on a wide array of case studies - from cooking stoves to missile systems, from 15th-century Portugal to today's Al labs - to outline an original research program based on a synthesis of ideas from the social studies of science and the history of technology. Together they affirm the need for a study of technology that gives equal weight to technical, social, economic, and political questions"--Back cover.

A laboratory study that investigates how algorithms come into existence. Algorithms--often associated with the terms big data, machine learning, or artificial intelligence--underlie the technologies we use every day, and disputes over the consequences, actual or potential, of new algorithms arise regularly. In this book, Florian Jaton offers a new way to study computerized methods, providing an account of where algorithms come from and how they are constituted, investigating the practical activities by which algorithms are progressively assembled rather than what they may suggest or require once they are assembled.