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| Author | : Sheldon Jay Axler |
| Publisher | : Cambridge University Press |
| Total Pages | : 490 |
| Release | : 1998-05-28 |
| Genre | : Mathematics |
| ISBN | : 9780521631938 |
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
| Author | : Klaus Gürlebeck |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 407 |
| Release | : 2007-11-16 |
| Genre | : Mathematics |
| ISBN | : 3764382716 |
Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.
| Author | : Kehe Zhu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 281 |
| Release | : 2006-03-22 |
| Genre | : Mathematics |
| ISBN | : 0387275398 |
Can be used as a graduate text Contains many exercises Contains new results
| Author | : Raghavan Narasimhan |
| Publisher | : Springer |
| Total Pages | : 149 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 354034845X |
| Author | : J.M. Isidro |
| Publisher | : Elsevier |
| Total Pages | : 290 |
| Release | : 2011-08-18 |
| Genre | : Mathematics |
| ISBN | : 9780080872162 |
Holomorphic Automorphism Groups in Banach Spaces
| Author | : Ludger Kaup |
| Publisher | : Walter de Gruyter |
| Total Pages | : 369 |
| Release | : 2011-05-09 |
| Genre | : Mathematics |
| ISBN | : 3110838354 |
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
| Author | : Javad Mashreghi |
| Publisher | : Springer Nature |
| Total Pages | : 426 |
| Release | : 2023-11-14 |
| Genre | : Mathematics |
| ISBN | : 3031335724 |
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.
| Author | : Frank Beatrous |
| Publisher | : |
| Total Pages | : 68 |
| Release | : 1989 |
| Genre | : Holomorphic functions |
| ISBN | : |
| Author | : José Seade |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 243 |
| Release | : 2006-03-21 |
| Genre | : Mathematics |
| ISBN | : 3764373954 |
Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
| Author | : Shoshichi Kobayashi |
| Publisher | : World Scientific |
| Total Pages | : 161 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9812564969 |
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections ?invariant metrics and pseudo-distances? and ?hyperbolic complex manifolds? within the section ?holomorphic mappings?. The invariant distance introduced in the first edition is now called the ?Kobayashi distance?, and the hyperbolicity in the sense of this book is called the ?Kobayashi hyperbolicity? to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.
