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Focuses on canonical-form characterizations of isometries on Banach spaces. This monograph explores the topic in the context of vector-valued function spaces and operator spaces. It looks at some of the wide variety of methods used in addressing the characterization problem in various types of spaces.

Part of the "Pitman Monographs in Pure and Applied Mathematics" series, this text presents various problems of partial differential equations. It covers elliptic systems degenerated at the boundary, overdetermined boundary value problems and initial boundary value problems.

Presents the ray method for studying nonlinear wave propagation in fluid dynamics and plasma physics. Topics covered are shock wave propagation, the derivation of model equations in several dimensions (dissipative and dispersive) and the interaction of waves, both hyperbolic and dispersive.

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. This title builds the background to understand this circle of ideas and reports on developments in this field of research. It introduces infinite dimensional Lie theory, emphasising on the relationship between Lie groups and Lie algebras.

Inverse boundary problems are an area of applied mathematics with applications throughout physics and the engineering sciences. This book considers the following: Can the unknown coefficients of an elliptic partial differential equation be determined from the eigen values and the boundary values of the eigen functions?

Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. This book offers an introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism.

A monograph that examines a variety of phenomena in which interfaces play a crucial role. It studies developments related to the Marangoni effect, including patterned convection and instabilities, oscillatory/wavy phenomena, and turbulent phenomena.

This text describes the development of the theory of J-symmetric operator algebras and representations of *-algebras on indefinite metric spaces in a systematic form. It also covers the application of different techniques from the theory of J-Symmetric representations on Krein spaces.

Surveys investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form in a variety of settings. It describes the isometries on classical function spaces. It explores isometries on Banach algebras.

Includes results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. This work also surveys advances in the areas where mathematics and mechanics interact. It is suitable for applied mathematicians, physicists, scientists and engineers.

Presents the theoretical framework for developing methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. This work is suitable for researchers in engineering as well as advanced students in these fields.

Elastic plates form a class of very important mechanical structures that occur in a wide range of practical applications. This book explores a number of problems encountered in working with elastic plates. It considers various fundamental boundary value problems in conjunction with variational and potential methods for finite and infinite domains.

Focuses on concrete analytic questions, with functional analysis providing the general framework. This work features discussions including radial limits, exceptional sets, zeros, factorization, and the relations between fractional Cauchy transforms and Dirichlet and Besov spaces.