Functional analysis and transforms

The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.

Everything that you ever wanted to know about pathological Banach spaces.

These notes give an introduction to subfactors suitable for newcomers to the field.

A full exposition of the classical theory of spherical harmonics and their use in proving stability results.

This book looks at the theories of Volterra integral and functional equations.

The only introduction to wavelets that doesn''t avoid the tough mathematical questions.

A careful exposition of the most fundamental questions in the theory of nonlinear Markov processes.

A comprehensive, self-contained treatment of non-Archimedean functional analysis, with an emphasis on locally convex space theory.

A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.

The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators.

Authoritative text presenting a broad view of the spectral theory of non-self-adjoint linear operators.

The powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.

This book is an extensive introductory text to mathematical analysis for graduate students and advanced undergraduates, complete with 500 exercises and numerous examples.

This book presents an introduction to the common ground between operator theory and linear systems theory.

This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied.

This text is designed both for students of probability and stochastic processes, and for students of functional analysis.

This is a short course on Banach space theory applicable to many contemporary research arenas.

Introduction to important topics in functional analysis from leading researchers.

An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

A comprehensive bibliography rounds off what will prove a very valuable work.

Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

This classic work explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means.

A pioneer of many modern developments in approximation theory, N.

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations.

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory.

A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation.

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty.

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty.

In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market quotes.

In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market quotes.

Operator Methods in Quantum Mechanics demonstrates the power of operator theory as a tool in the study of quantum mechanics.

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc.

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences.

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences.

In this book the author presents the Opial, Poincare, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities.

This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics.

The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions.

In 1979, the Nobel Prize for Medicine and Physiology was awarded jointly to Allan McLeod Cormack and Godfrey Newbold Houns eld, the two pioneering scienti- engineers primarily responsible for the development, in the 1960s and early 1970s, of computerized axial tomography, popularly known as the CAT or CT scan.

Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view.

The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula.

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.

"e;Optimization on Metric and Normed Spaces"e; is devoted to the recent progress in optimization on Banach spaces and complete metric spaces.