Compactness of the Dbar-Neumann Problem and Stein Neighborhood Bases PDF Download
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Author: Sönmez Şahutoğlu
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This dissertation consists of two parts. In the first part we show that for 1
Author: Sönmez Şahutoğlu
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
This dissertation consists of two parts. In the first part we show that for 1
![Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem PDF](https://books.google.com/books/content/images/frontcover/OX7IaM3Cx6cC?fife=w80-h100)
Author: Emil J. Straube
Publisher: European Mathematical Society
ISBN: 9783037190760
Category : Mathematics
Languages : en
Pages : 220
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Book Description
This book provides a thorough and self-contained introduction to the $\bar{\partial}$-Neumann problem, leading up to current research, in the context of the $\mathcal{L}^{2}$-Sobolev theory on bounded pseudoconvex domains in $\mathbb{C}^{n}$. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrodinger International Institute for Mathematical Physics and at Texas A & M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic $\mathcal{L}^{2}$-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary $\mathcal{L}^{2}$-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.
Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266
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Book Description
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Author: Ludger Kaup
Publisher: Walter de Gruyter
ISBN: 3110838354
Category : Mathematics
Languages : en
Pages : 369
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Book Description
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: Bernhelm Booß-Bavnbek
Publisher: Springer Science & Business Media
ISBN: 3642118968
Category : Science
Languages : en
Pages : 372
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Book Description
Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them for this is an exciting field of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and on gauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantum gravity research.
Author: Tay Vaughan
Publisher: Osborne Publishing
ISBN: 9780078822254
Category : Computers
Languages : en
Pages : 636
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Book Description
Thoroughly updated for newnbsp;breakthroughs in multimedia nbsp; The internationally bestselling Multimedia: Making it Work has been fully revised and expanded to cover the latest technological advances in multimedia. You will learn to plan and manage multimedia projects, from dynamic CD-ROMs and DVDs to professional websites. Each chapter includes step-by-step instructions, full-color illustrations and screenshots, self-quizzes, and hands-on projects. nbsp;
Author: Amos R. Omondi
Publisher: Springer Science & Business Media
ISBN: 0387284877
Category : Technology & Engineering
Languages : en
Pages : 365
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Book Description
During the 1980s and early 1990s there was signi?cant work in the design and implementation of hardware neurocomputers. Nevertheless, most of these efforts may be judged to have been unsuccessful: at no time have have ha- ware neurocomputers been in wide use. This lack of success may be largely attributed to the fact that earlier work was almost entirely aimed at developing custom neurocomputers, based on ASIC technology, but for such niche - eas this technology was never suf?ciently developed or competitive enough to justify large-scale adoption. On the other hand, gate-arrays of the period m- tioned were never large enough nor fast enough for serious arti?cial-neur- network (ANN) applications. But technology has now improved: the capacity and performance of current FPGAs are such that they present a much more realistic alternative. Consequently neurocomputers based on FPGAs are now a much more practical proposition than they have been in the past. This book summarizes some work towards this goal and consists of 12 papers that were selected, after review, from a number of submissions. The book is nominally divided into three parts: Chapters 1 through 4 deal with foundational issues; Chapters 5 through 11 deal with a variety of implementations; and Chapter 12 looks at the lessons learned from a large-scale project and also reconsiders design issues in light of current and future technology.
Author: Thomas Schuster
Publisher: Springer
ISBN: 3540712275
Category : Mathematics
Languages : en
Pages : 193
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Book Description
This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.
Author: Marta Bunge
Publisher: Springer
ISBN: 3540363602
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.
Author: Manuel Nistal
Publisher: Springer
ISBN: 3319493647
Category : Medical
Languages : en
Pages : 378
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Book Description
This book presents the morphology of different non-tumoral lesions of the testis. By showing the differential diagnosis of each lesion, it offers clinicians vital support with diagnosis and treatment. The book is divided into seven main parts: genetic and developmental pathology of the testis; infertility; vascular pathology of the testis; inflammatory pathology; pathology of the rete testis and epididymis; pathology of the vaginal tunic and paratesticular structures; and a final part dealing with miscellanea. Each chapter includes carefully selected figures and a variety of diagrams highlighting the main characteristics of a specific lesion to facilitate its diagnosis.Based on the authors’ experience with hundreds of biopsies, surgical specimens and autopsies, the book presents material that has been gathered over the past 40 years, providing an essential tool for pathologists, urologists, andrologists and pediatricians who face diagnostic problems.
