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The Beaver Manifesto
Beavers are the great comeback story--a keystone species that survived ice ages, major droughts, the fur trade, urbanization and near extinction. Their ability to create and maintain aquatic habitats has endeared them to conservationists, but puts the beavers at odds with urban and industrial expansion. These conflicts reflect a dichotomy within our national identity. We place environment and our concept of wilderness as a key touchstone for promotion and celebration, while devoting significant financial and personal resources to combating "the beaver problem." We need to rethink our approach to environmental conflict in general, and our approach to species-specific conflicts in particular. Our history often celebrates our integration of environment into our identity, but our actions often reveal an exploitation of environment and celebration of its subjugation. Why the conflict with the beaver? It is one of the few species that refuses to play by our rules and continues to modify environments to meet its own needs and the betterment of so many other species, while at the same time showing humans that complete dominion over nature is not necessarily achievable.
Digging the City
At the last census in 2006, just over 80 percent of Canada's population lived in urban centres. How we feed that population and protect its food sources is an enduring subject of debate in food security circles these days. As consumers and citizens, we all need to take a hard look at the deficiencies in Canada's ability to feed the urban poor; our dependence on imported foods and centralized food processing; our detachment from our food sources; the often problematic solutions to food security devised by governments, municipalities and non-profit groups; and where we are headed if we change nothing in these times when change is urgently needed. Many efforts are being made to introduce urban ...
Restoring the Flow
I believe that it is up to people like us to find the language, create the images and imagine the solutions that will allow us to break out of the vicious circle that threatens public health by threatening our landscapes and water sources . . . Together we can work toward this end. And, we can do it with humour. We can do it with style. And we can do it with grace. Try as we might, parts of North America may not escape the impacts of the global water crisis. The same kinds of water supply and quality issues that have appeared around our crowded planet are already beginning to present themselves here. Unfortunately, this is occurring at a time when, as a direct result of declining global food...
Integral Equations with Difference Kernels on Finite Intervals
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes an...
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations
This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampère equation, quasi-linear systems arising in fluid mechanics as well as integro-differential equations for media with memory. There follows an article on L_p-L_q decay estimates for Klein-Gordon equations with time-dependent coefficients, explaining, in particular, the influence of the relation between the mass term and the wave propagation speed. The next paper addresses questions of local existence of solutions, blow-up criteria, a...
Interpolation and Realization Theory with Applications to Control Theory
This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, an...
Aspects of Boundary Problems in Analysis and Geometry
Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Discrete and Continuous Models in the Theory of Networks
This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference. The volume covers current research in the areas of operator theory and dynamical systems on networks and their applications, indicating possible future directions. The book will be interesting to researchers focusing on the mathematical theory of networks; it is unique as, for the first time, continuous network models - a subject that has been blooming in the last twenty years - are studied alongside more classical and discrete ones. Thus, instead of two different worlds often growing independently without much intercommunication, a new path is set, breaking with the tradition. The fruitful and beneficial exchange of ideas and results of both communities is reflected in this book.
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focu...
Slice Hyperholomorphic Schur Analysis
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
