Functional analysis and transforms

This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces.

This book presents the latest developments in the theory of gradient flows in random walk spaces.

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view.

Spectral properties for Schrodinger operators are a major concern in quantum mechanics both in physics and in mathematics.

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view.

This book presents the latest developments in the theory of gradient flows in random walk spaces.

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces.

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces.

This comprehensive book offers an accessible introduction to Fourier analysis and distribution theory, blending classical mathematical theory with a wide range of practical applications.

Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis.

This book concentrates on the famous Grothendieck inequality and the continued search for the still unknown best possible value of the real and complex Grothendieck constant (an open problem since 1953).

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions.

?

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals.

This book is about extending index theory to some examples where non-Fredholm operators arise.

This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group.

This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators.

This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications.

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions.

The real-variable theory of function spaces has always been at the core of harmonic analysis.

The real-variable theory of function spaces has always been at the core of harmonic analysis.

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021.

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering.

This book is an easy-to-read reference providing a link between functional analysis and diffusion processes.

?

This book is about extending index theory to some examples where non-Fredholm operators arise.

This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure.

Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967.

Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967.

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at the interface between probability and functional analysis.

The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus.

This book features original research and survey articles on the topics of function spaces and inequalities.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018.

This book discusses the application of quantum mechanics to computing.

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.

This book collects papers presented at the International Conference on Fractional Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on 16-18 July 2018.

This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan.

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations.

The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-Simon gradient inequality.

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018.

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.

The scattering theory for transport phenomena was initiated by P.

This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary.

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems.

This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introduction to the theory of pseudoholomorphic curves.