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A Bridge Between Lie Theory And Frame Theory


A Bridge Between Lie Theory And Frame Theory
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A Bridge Between Lie Theory And Frame Theory


A Bridge Between Lie Theory And Frame Theory
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Author : Vignon Oussa
language : en
Publisher: John Wiley & Sons
Release Date : 2025-03-06

A Bridge Between Lie Theory And Frame Theory written by Vignon Oussa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-06 with Mathematics categories.


Comprehensive textbook examining meaningful connections between the subjects of Lie theory, differential geometry, and signal analysis A Bridge Between Lie Theory and Frame Theory serves as a bridge between the areas of Lie theory, differential geometry, and frame theory, illustrating applications in the context of signal analysis with concrete examples and images. The first part of the book gives an in-depth, comprehensive, and self-contained exposition of differential geometry, Lie theory, representation theory, and frame theory. The second part of the book uses the theories established in the early part of the text to characterize a class of representations of Lie groups, which can be discretized to construct frames and other basis-like systems. For instance, Lie groups with frames of translates, sampling, and interpolation spaces on Lie groups are characterized. A Bridge Between Lie Theory and Frame Theory includes discussion on: Novel constructions of frames possessing additional desired features such as boundedness, compact support, continuity, fast decay, and smoothness, motivated by applications in signal analysis Necessary technical tools required to study the discretization problem of representations at a deep level Ongoing dynamic research problems in frame theory, wavelet theory, time frequency analysis, and other related branches of harmonic analysis A Bridge Between Lie Theory and Frame Theory is an essential learning resource for graduate students, applied mathematicians, and scientists who are looking for a rigorous and complete introduction to the covered subjects.



A Bridge Between Lie Theory And Frame Theory


A Bridge Between Lie Theory And Frame Theory
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Author : Vignon Oussa
language : en
Publisher: John Wiley & Sons
Release Date : 2025-02-19

A Bridge Between Lie Theory And Frame Theory written by Vignon Oussa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-19 with Mathematics categories.


Comprehensive textbook examining meaningful connections between the subjects of Lie theory, differential geometry, and signal analysis A Bridge Between Lie Theory and Frame Theory serves as a bridge between the areas of Lie theory, differential geometry, and frame theory, illustrating applications in the context of signal analysis with concrete examples and images. The first part of the book gives an in-depth, comprehensive, and self-contained exposition of differential geometry, Lie theory, representation theory, and frame theory. The second part of the book uses the theories established in the early part of the text to characterize a class of representations of Lie groups, which can be discretized to construct frames and other basis-like systems. For instance, Lie groups with frames of translates, sampling, and interpolation spaces on Lie groups are characterized. A Bridge Between Lie Theory and Frame Theory includes discussion on: Novel constructions of frames possessing additional desired features such as boundedness, compact support, continuity, fast decay, and smoothness, motivated by applications in signal analysis Necessary technical tools required to study the discretization problem of representations at a deep level Ongoing dynamic research problems in frame theory, wavelet theory, time frequency analysis, and other related branches of harmonic analysis A Bridge Between Lie Theory and Frame Theory is an essential learning resource for graduate students, applied mathematicians, and scientists who are looking for a rigorous and complete introduction to the covered subjects.



Perception And Control Of Self Motion


Perception And Control Of Self Motion
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Author : Rik Warren
language : en
Publisher: Psychology Press
Release Date : 2014-01-14

Perception And Control Of Self Motion written by Rik Warren and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Psychology categories.


This book presents studies of self-motion by an international group of basic and applied researchers including biologists, psychologists, comparative physiologists, kinesiologists, aerospace and control engineers, physicians, and physicists. Academia is well represented and accounts for most of the applied research offered. Basic theoretical research is further represented by private research companies and also by government laboratories on both sides of the Atlantic. Researchers and students of biology, psychology, physiology, kinesiology, engineering, and physics who have an interest in self-motion -- whether it be underwater, in space, or on solid ground -- will find this volume of interest. This book presents studies of self-motion by an international group of basic and applied researchers including biologists, psychologists, comparative physiologists, kinesiologists, aerospace and control engineers, physicians, and physicists. Academia is well represented and accounts for most of the applied research offered. Basic theoretical research is further represented by private research companies and also by government laboratories on both sides of the Atlantic. Researchers and students of biology, psychology, physiology, kinesiology, engineering, and physics who have an interest in self-motion -- whether it be underwater, in space, or on solid ground -- will find this volume of interest.



A Realistic Theory Of Science


A Realistic Theory Of Science
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Author : Clifford Alan Hooker
language : en
Publisher: SUNY Press
Release Date : 1987-01-01

A Realistic Theory Of Science written by Clifford Alan Hooker and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Science categories.


This book presents a clear and critical view of the orthodox logical empiricist tradition, pointing the way to significant developments for the understanding of science both as research and as culture. It summarizes the present confused and highly polarized status of the orthodox philosophy of science. It exhibits clearly the fundamental metaphysical and global presuppositions and confusions that have led to this status. It provides a positive point of view from which progress can be made toward understanding science as research done by real scientists rather than science as exemplifying some prior epistemological program created by philosophers. And it leads directly to an understanding of science as a dynamic force within our society with consequences for the environment and public policy.



The Politics And Anti Politics Of Social Movements


The Politics And Anti Politics Of Social Movements
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Author : Marian Burchardt
language : en
Publisher: Routledge
Release Date : 2017-10-02

The Politics And Anti Politics Of Social Movements written by Marian Burchardt and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Political Science categories.


This book explores the nature, significance and consequences of the religious activism surrounding AIDS in Africa. While African religion was relatively marginal in inspiring or contributing to AIDS activism during the early days of the epidemic, this situation has changed dramatically. In order to account for these changes, contributors provide answers to pressing questions. How does the entrance of religion into public debates about AIDS affect policymaking and implementation, church-state relations, and religion itself? How do religious actors draw on and reconfigure forms of transnational connectivity? How do resource flows from development and humanitarian aid that religious actors may access then affect relationships of power and authority in African societies? How does religious mobilization on AIDS reflect contestation over identity, cultural membership, theology, political participation, and citizenship? Addressing these questions, the authors draw on social movement theories to explore the role of religious identities, action frames, political opportunity structures, and resource mobilization in African religions’ reaction to the AIDS epidemic. The book’s findings are rooted in fieldwork conducted in Tanzania, Uganda, Zambia, Zimbabwe, Ghana, and Mozambique, among a variety of religious organizations. This book was originally published as a special issue of the Canadian Journal of African Studies.



Abhandlungen


Abhandlungen
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Author : International Association for Bridge and Structural Engineering
language : en
Publisher:
Release Date : 1958

Abhandlungen written by International Association for Bridge and Structural Engineering and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Bridges categories.




Computer Vision Systems


Computer Vision Systems
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Author : Allen Hanson
language : en
Publisher: Elsevier
Release Date : 1978-01-01

Computer Vision Systems written by Allen Hanson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Technology & Engineering categories.


Computer Vision Systems is a collection of papers presented at the Workshop on Computer Vision Systems held at the University of Massachusetts in Amherst, Massachusetts, on June 1-3, 1977. Contributors discuss the breadth of problems that must be taken into account in the development of general computer vision systems. Topics covered include the application of system engineering techniques to the design of artificial intelligence systems; representation and segmentation of natural scenes; and pragmatic aspects of machine vision. Psychophysical measures of representation and interpretation are also considered. This monograph is divided into four sections: Issues and Research Strategies, Segmentation, Theory and Psychology, and Systems. The first chapter explores the problem of recovering the intrinsic characteristics of scenes from images, along with its implications for machine and human vision. The discussion then turns to special-purpose low-level vision systems that can be flexibly reconfigured as the need arises; design, development, and implementation of large systems from the human engineering point of view; and representation of visual information. The next section examines hierarchical relaxation for waveform parsing; the topology and semantics of intensity arrays; and visual images as spatial representations in active memory. The use of edge cues to recognize real-world objects is also analyzed. This text will be a useful resource for systems designers, computer engineers, and scientists as well as psychologists.



The Oxford Companion To Archaeology


The Oxford Companion To Archaeology
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Author : Neil Asher Silberman
language : en
Publisher:
Release Date : 2012-11

The Oxford Companion To Archaeology written by Neil Asher Silberman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11 with Reference categories.


The second edition of The Oxford Companion to Archaeology is a thoroughly up-to-date resource with new entries exploring the many advances in the field since the first edition published in 1996. In 700 entries, the second edition provides thorough coverage to historical archaeology, the development of archaeology as a field of study, and the way the discipline works to explain the past. In addition to these theoretical entries, other entries describe the major excavations, discoveries, and innovations, from the discovery of the cave paintings at Lascaux to the deciphering of Egyptian hieroglyphics and the use of luminescence dating. Recent developments in methods and analytical techniques which have revolutionized the ways excavations are performed are also covered; as well as new areas within archeology, such as cultural tourism; and major new sites which have expanded our understanding of prehistory and human developments through time. In addition to significant expansion, first-edition entries have been thoroughly revised and updated to reflect the progress that has been made in the last decade and a half.



Affine Lie Algebras And Quantum Groups


Affine Lie Algebras And Quantum Groups
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Author : Jürgen Fuchs
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-09

Affine Lie Algebras And Quantum Groups written by Jürgen Fuchs and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-09 with Mathematics categories.


This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.



Polygraph


Polygraph
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Author :
language : en
Publisher:
Release Date : 1988

Polygraph written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Lie detectors and detection categories.