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| Author | : |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 190 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9780821839287 |
This volume contains translations of papers that originally appeared in the Japanese journal 'Sugaku'. The papers range over a variety of topics, including operator algebras, analysis, and statistics.
| Author | : Michael Ruzhansky |
| Publisher | : John Wiley & Sons |
| Total Pages | : 1021 |
| Release | : 2018-04-11 |
| Genre | : Mathematics |
| ISBN | : 1119414334 |
An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.
| Author | : Peter D Lax |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 620 |
| Release | : 2005-05-20 |
| Genre | : Mathematics |
| ISBN | : 9780387229263 |
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honors including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. Two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selecta will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own.
| Author | : Alekseĭ Nikolaevich Khovanskiĭ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 276 |
| Release | : 1997 |
| Genre | : Geometry, Projective |
| ISBN | : 9780821808078 |
| Author | : Augustin Louis Baron Cauchy |
| Publisher | : World Scientific |
| Total Pages | : 1010 |
| Release | : 1989 |
| Genre | : Mathematics |
| ISBN | : 9789971506667 |
This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.
| Author | : Ulug Capar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 224 |
| Release | : 2003-04 |
| Genre | : Mathematics |
| ISBN | : 9783764369989 |
Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more. This volume contains selected contributions which were presented at the 8th Silivri Workshop on Stochastic Analysis and Related Topics, held in September 2000 in Gazimagusa, North Cyprus. The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics. Contributors: A.E. Bashirov, A. Bensoussan and J. Frehse, U. Capar and H. Aktuglul, A.B. Cruzeiro and Kai-Nan Xiang, E. Hausenblas, Y. Ishikawa, N. Mahmudov, P. Malliavin and U. Taneri, N. Privault, A.S. Üstünel
| Author | : Victor P. Havin |
| Publisher | : Birkhäuser |
| Total Pages | : 407 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034883781 |
This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.
| Author | : M. G. Goluzina |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 386 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821897386 |
This book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.
| Author | : Philip Russell Wallace |
| Publisher | : Courier Corporation |
| Total Pages | : 644 |
| Release | : 1984-01-01 |
| Genre | : Science |
| ISBN | : 0486646769 |
This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.
| Author | : Luca Capogna |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 170 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821827456 |
This volume presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
