Calculus and mathematical analysis

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics.

One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.

Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology.

The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem.

From the reviews of the 2nd edition The substantial development effort of this text clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications.

From the reviews: "e;.

Interpolation of functions is one of the basic part of Approximation Theory.

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hormander in the sixties of the last century.

Introduction This book presents and develops major numerical methods currently used for solving problems arising in quantitative ?

The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564.

Complex Finsler metrics appear naturally in complex analysis.

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory.

The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.

The programme of the Conference at El Escorial included 4 main courses of 3-4 hours.

These Proceedings of the first Chinese Conference on Numerical Methods for Partial Differential Equations covers topics such as difference methods, finite element methods, spectral methods, splitting methods, parallel algorithm etc.

Symmetry has a strong impact on the number and shape ofsolutions to variational problems.

The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.

This volume represents a part of the main result obtained bya group of French probabilists, together with thecontributions of a number of colleagues, mainly from the USAand Japan.

The meeting in Birmingham, Alabama, provided a forum for the discussion of recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to work relating to the equations of mathematical physics.

This book develops a theory of extrapolation spaces with applications to classical and modern analysis.

White Noise Calculus is a distribution theory on Gaussian space, proposed by T.

Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces.

The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework.

The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research.

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research.

A new construction is given for approximating a logarithmicpotential by a discrete one.

This book presents an operator-theoretic approach to ill-posed evolution equations.

This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!

This book is composed of two texts, by R.

Analytic number theory and part of the spectral theory ofoperators (differential, pseudo-differential, elliptic,etc.

The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis.

The theory of Dirichlet forms has witnessed recently somevery important developments both in theoretical foundationsand in applications (stochasticprocesses, quantum fieldtheory, composite materials,.

Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion.

Difference spaces arise by taking sums of finite or fractional differences.

1) Phase Transitions, represented by generalizations of the classical Stefan problem.

This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field.

Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices.

The book is devoted to partial differential equations ofHamiltonian form, close to integrable equations.

These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theory of operators in Hilbert spaces.