On the Inversion of the Laplace and Abel Transforms for Causal Symmetric Spaces

On the Inversion of the Laplace and Abel Transforms for Causal Symmetric Spaces PDF Author: Nils Byrial Andersen
Publisher:
ISBN:
Category :
Languages : en
Pages : 18

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On the Inversion of the Laplace and Abel Transforms for Causal Symmetric Spaces

On the Inversion of the Laplace and Abel Transforms for Causal Symmetric Spaces PDF Author: Nils Byrial Andersen
Publisher:
ISBN:
Category :
Languages : en
Pages : 18

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Book Description


Representation Theory and Harmonic Analysis on Symmetric Spaces

Representation Theory and Harmonic Analysis on Symmetric Spaces PDF Author: Jens Gerlach Christensen
Publisher: American Mathematical Soc.
ISBN: 1470440709
Category : Mathematics
Languages : en
Pages : 330

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Book Description
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Causal Symmetric Spaces

Causal Symmetric Spaces PDF Author: Gestur Olafsson
Publisher: Academic Press
ISBN: 0080528724
Category : Mathematics
Languages : en
Pages : 303

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Book Description
This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces. Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spaces Deals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fields Presents basic geometric properties of semi-simple symmetric spaces Includes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial PDF Author: Peter Kuchment
Publisher: American Mathematical Soc.
ISBN: 1470437821
Category : Festschriften
Languages : en
Pages : 300

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Book Description
This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.

Journal of Lie Theory

Journal of Lie Theory PDF Author:
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 524

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Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups

Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups PDF Author: Aleksander Strasburger
Publisher:
ISBN:
Category : Finite groups
Languages : en
Pages : 368

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 906

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Introduction to the Mathematics of Medical Imaging

Introduction to the Mathematics of Medical Imaging PDF Author: Charles L. Epstein
Publisher: SIAM
ISBN: 9780898717792
Category : Mathematics
Languages : en
Pages : 794

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Book Description
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.

Mathematics for Physics

Mathematics for Physics PDF Author: Michael Stone
Publisher: Cambridge University Press
ISBN: 1139480618
Category : Science
Languages : en
Pages : 821

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Book Description
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Time Series Analysis and Inverse Theory for Geophysicists

Time Series Analysis and Inverse Theory for Geophysicists PDF Author: David Gubbins
Publisher: Cambridge University Press
ISBN: 1316582930
Category : Science
Languages : en
Pages : 274

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Book Description
This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at http://publishing.cambridge.org/resources/0521819652