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The d-bar Neumann Problem and Schrödinger Operators
  • Language: en
  • Pages: 336

The d-bar Neumann Problem and Schrödinger Operators

This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.

Complex Analysis
  • Language: en
  • Pages: 348

Complex Analysis

In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. Contents Complex numbers and functions Cauchy’s Theorem and Cauchy’s formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators

Complex Analysis
  • Language: en
  • Pages: 415

Complex Analysis

In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. Contents Complex numbers and functions Cauchy’s Theorem and Cauchy’s formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators

Gregor Mendel - The Scientist
  • Language: en
  • Pages: 312

Gregor Mendel - The Scientist

The major purpose of this book is to present Johann Gregor Mendel (1822-1884) in a real and interesting way based on the most recent historical research and analysis of authentic sources. The authors aim to show Mendel ́s scientific thinking and inner feelings together with his environment and to communicate his message as a multifaceted personality and modern experimentalist. The book draws from the only existing short sketch of Mendel ́s youth, his letters and the biographical ceiling paintings that were made according to his proposal. They form the basis of the self-portrait concept. The structure of the book follows thematic groups covering Mendel ́s activities from a poor village boy...

Integral Representation
  • Language: en
  • Pages: 266

Integral Representation

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.

Groups of Prime Power Order. Volume 5
  • Language: en
  • Pages: 497

Groups of Prime Power Order. Volume 5

This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Groups of Prime Power Order. Volume 6
  • Language: en
  • Pages: 495

Groups of Prime Power Order. Volume 6

This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.

Special List
  • Language: en
  • Pages: 366

Special List

  • Type: Book
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  • Published: 1978
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  • Publisher: Unknown

None

Yakov G. Berkovich; Lev S. Kazarin; Emmanuel M. Zhmud': Characters of Finite Groups. Volume 1
  • Language: en
  • Pages: 624

Yakov G. Berkovich; Lev S. Kazarin; Emmanuel M. Zhmud': Characters of Finite Groups. Volume 1

This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.

Nuernberg War Crimes Trials
  • Language: en
  • Pages: 372

Nuernberg War Crimes Trials

  • Type: Book
  • -
  • Published: 1978
  • -
  • Publisher: Unknown

Describes and indexes: Records of the United States Nuernberg war crimes trials, United States of America v. Otto Ohlendorf et al. (case IX)(M-film JX 5441 E4A35+ 1972 WEB).