Contemporary Mathematics, Volume: 644
2015; 359 pp; softcover
ISBN-13: 978-1-4704-1464-1
Expected publication date is August 24, 2015.
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics.
Papers included in this volume cover topics such as the complex Monge-Ampere equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
Graduate students and research mathematicians interested in partial differential equations, complex analysis, and mathematical physics.
Contemporary Mathematics, Volume: 645
2015; 301 pp; softcover
ISBN-13: 978-1-4704-1694-2
Expected publication date is August 24, 2015.
This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville.
The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
Graduate students and research mathematicians interested in modern analysis, primarily functional analysis.
M. Abel -- On algebraic properties of the spectrum and spectral radius of elements in a unital algebra
M. Abel -- Automatic continuity of surjective homomorphisms between topological algebras
J. T. Anderson -- Characterization of holomorphic and meromorphic functions via maximum principles
F. Botelho and J. Jamison -- Hermitian operators on HpH(△n)
J. A. Chavez-Dominguez and T. Oikhberg -- Some notions of transitivity for operator spaces
J. Craig, J. F. Feinstein, and P. Patrick -- Removability of exceptional sets for differentiable and Lipschitz functions
D. E. Edmunds and J. Lang -- Generalizing trigonometric functions from different points of view
G. O. S. Ekhaguere -- Partial W?-dynamical systems and their dilations
J. F. Feinstein, S. Morley, and H. Yang -- Swiss cheeses and their applications
O. Hatori -- Isometries on the special unitary group
T. Hoim and D. A. Robbins -- Amenability as a hereditary property in some algebras of vector-valued functions
P. Jain, M. Singh, and A. P. Singh -- Weighted norm inequalities for Hardy type operators on monotone functions
K. Jarosz -- Norms on normal function algebras
A. Yu. Karlovich -- Maximally modulated singular integral operators and their applications to pseudodifferential operators on Banach function spaces
S. G. Krantz -- Smoothness to the boundary of biholomorphic mappings: An overview
K. Lee -- A multiplicative Banach-Stone theorem
D. M. Luan and L. H. Khoi -- Weighted composition operators on weighted sequence spaces
M. Mathieu and M. Young -- Spectral isometries into commutative Banach algebras
O. Mendez -- Eigenvalues and eigenfunctions of the p(?)-Laplacian. A convergence analysis
T. Miura -- Surjective isometries between function spaces
D. C. Moore -- Endomorphisms and the ?ilov representation
R. Rahm and B. D. Wick -- The essential norm of operators on the Bergman space of vector-valued functions on the unit ball
S. K. Srivastava and U. Singh -- Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W(Lp,Ψ(t),β)
J. Wermer -- Analytic structure of polynomial hulls
Note to readers: This book is in French.
CRM Monograph Series, Volume: 36
2015; approx. 173 pp; hardcover
ISBN-13: 978-1-4704-1993-6
Expected publication date is September 28, 2015.
This book is based on a graduate course given in 2005-2006 by Paul Koosis, Emeritus Professor at McGill University. It addresses topics carefully selected by Prof. Koosis and is intended for those who, far from seeking an exhaustive catalog of technical and abstract results, prefer to be initiated in the most essential and prolific discoveries of the 20th century in classical analysis. Harmonic analysis, quasi-analyticity, zeroes of classes of entire functions (including a new proof of the Levinson-Cartwright theorem), weighted approximation, gap theorems, harmonic measures, and other gems of classical analysis are presented in a rigorous, detailed, and elegant style. This work prepares students for more advanced studies and serves readers who, aware of the basics in measure theory and complex analysis, wish to follow Prof. Koosis in his marvelous development of the subject.
I recognize the choice and style of Paul Koosis, and I greatly appreciate both. The title is intentionally modest and out of fashion; the originality of the book is that, under the guise of the "classic", it completely avoids the current fashions. It does not appear to me to have its equivalent in any language. It is a beautiful gift to the French language ...
--Jean-Pierre Kahane, Universite Paris-Sud Orsay, France
Graduate students and research mathematicians interested in classical analysis of functions of one complex variable.
Premiere partie Automne 2005
Fonctions harmoniques et sous-harmoniques
Quasi-analyticite: le critere de Carleman-Ostrowski
Fonctions entieres de type exponentiel: leurs zeros
Seconde partie Hiver 2006
Mesures rapidement decroissantes a l'infini, lacunarite de leurs transformees de Fourier
Mesures harmoniques
Probleme de Dirichlet
Introduction aux longueurs extremales
Annexe A. Complements
Annexe B. Devoirs
Bibliographie
Index
Student Mathematical Library, Volume: 75
2015; 353 pp; softcover
ISBN-13: 978-1-4704-2261-5
Expected publication date is October 1, 2015.
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order.
It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
Graduate students and research mathematicians interested in theoretical computer science and discrete mathematics.
Measaure and integral
High-dimensional geometry and measure concentration
Fourier analysis
Representations of finite groups
Polynomials
Topology
Index
.
IAS/PCMI-The Teacher Program Series, Volume: 2
2015; approx. 205 pp; softcover
ISBN-13: 978-1-4704-1924-0
Expected publication date is October 9, 2015.
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.
But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves.
The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers--especially the arithmetic of Gaussian and Eisenstein integers--to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares.
Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
In-service secondary school teachers; students training to become secondary school teachers.
Problem sets
Facilitaor notes
Teaching notes
Mathematical overview
Solutions