Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory.
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis.
The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis.
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "e;M"e; attached to a Shimura curve "e;M"e; over the field of rational numbers.
This volume brings together selected contributions from the conference "e;Functor and Tensor Categories, Models and Systems"e; (Santiago de Compostela, Spain, June 2024), along with several invited contributions.
This volume brings together selected contributions from the conference "e;Functor and Tensor Categories, Models and Systems"e; (Santiago de Compostela, Spain, June 2024), along with several invited contributions.
The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas.
The book reports a joint analysis between the LHCb and BESIII collaborations on measuring the CKM angle γ with intricate data analysis techniques and rigorous statistical methods.
The book reports a joint analysis between the LHCb and BESIII collaborations on measuring the CKM angle γ with intricate data analysis techniques and rigorous statistical methods.
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022.
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022.
The aim of the present work is to give a unifying treatment of the four faces of the theory of generalized functions – linear, nonlinear, random and infinite dimensional distributions.
The aim of the present work is to give a unifying treatment of the four faces of the theory of generalized functions – linear, nonlinear, random and infinite dimensional distributions.
This book offers advanced undergraduates, graduate students, and researchers a comprehensive introduction to both the classical and modern Calculus of Variations.
This volume brings together fourteen essays authored by distinguished mathematicians from India, offering a panoramic view of current research directions as well as recent historical developments in mathematics in India.
This volume brings together fourteen essays authored by distinguished mathematicians from India, offering a panoramic view of current research directions as well as recent historical developments in mathematics in India.
Behandelt die signaltheoretischen Grundlagen der irregulären Abtastung ausgehend von einer exakten funktionalanalytischen Betrachtungsweise sowie der auch in der Wavelet-Theorie verwendeten Theorie der Rahmen.
This monograph presents the method of generalized functions and the method of boundary integral equations for solving nonstationary and stationary boundary value problems for classical hyperbolic equations of mathematical physics and electrodynamics: the wave equation, the Klein–Gordon equation, the Schrödinger equation and the system of Maxwell equations in spaces of dimension 1, 2, 3.
This monograph presents the method of generalized functions and the method of boundary integral equations for solving nonstationary and stationary boundary value problems for classical hyperbolic equations of mathematical physics and electrodynamics: the wave equation, the Klein–Gordon equation, the Schrödinger equation and the system of Maxwell equations in spaces of dimension 1, 2, 3.
En este libro se hace una indagacion de corte historico-epistemologico de algunos desarrollos del analisis, la teoria de funciones y el analisis funcional en el siglo XIX y los inicios del siglo XX, cuando estas tres disciplinas se posesionan como ramas importantes de las matematicas.
The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics.
This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory.
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research.
Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces.
The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine.
Semigroup Theory uses abstract methods of Operator Theory to treat initial bou- ary value problems for linear and nonlinear equations that describe the evolution of a system.
The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function.
This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections.
A well written, readable and easily accessible introduction to "e;Choquet theory"e;, which treats the representation of elements of a compact convex set as integral averages over extreme points of the set.
Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure.
The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas.
