Functional analysis and transforms

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This volume is dedicated to the memory of Harold Widom (1932-2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time.

This textbook is designed for an introductory, one-semester course in Signals and Systems for undergraduates.

The authors explain the Fourier transform and its technical applications, especially in signal and system theory.

This second edition is thoroughly revised and includes several new examples and exercises.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

This book provides the background and the mathematical methods necessary to understand the basic transforms in signal processing and linear systems and probability and random processes to prepare for in depth study of analog and digital communications systems.

This book provides the background and the mathematical methods necessary to understand the basic transforms in signal processing and linear systems and probability and random processes to prepare for in depth study of analog and digital communications systems.

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021.

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach { the most outstanding representative of the Lviv mathematical school.

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces.

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis.

A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces.

This book provides a comprehensive treatment of multilinear operator integral techniques.

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems.

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.

The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "e;Anomalies in Partial Differential Equations"e; held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "e;Guido Castelnuovo"e;, Universita di Roma "e;La Sapienza"e;.

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range.

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019.

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis.

This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Vaxjo, Sweden.

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017.

This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing.

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing.

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Vaxjo, Sweden, on 14-18 August, 2017.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums.

This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces.

In measure theory, a familiar representation theorem due to F.

This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation.

The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018.

This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987.

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks.

This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years.

This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers.

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas.

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation.

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces.

This handbook focuses on special functions in physics in the real and complex domain.