Author: Michael Ruzhansky
Publisher: Springer Science & Business Media
ISBN: 3764385146
Category : Mathematics
Languages : en
Pages : 712
Book Description
This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
Pseudo-Differential Operators and Symmetries
Author: Michael Ruzhansky
Publisher: Springer Science & Business Media
ISBN: 3764385146
Category : Mathematics
Languages : en
Pages : 712
Book Description
This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
Publisher: Springer Science & Business Media
ISBN: 3764385146
Category : Mathematics
Languages : en
Pages : 712
Book Description
This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
Introduction to Analysis
Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 0486134687
Category : Mathematics
Languages : en
Pages : 270
Book Description
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Publisher: Courier Corporation
ISBN: 0486134687
Category : Mathematics
Languages : en
Pages : 270
Book Description
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Youth Employment Policies and Programs for the 1980s, Background Analysis for the Department of Labor Employment and Training Components of the Youth Act of 1980
Author: Robert Taggart
Publisher:
ISBN:
Category : Full employment policies
Languages : en
Pages : 252
Book Description
Publisher:
ISBN:
Category : Full employment policies
Languages : en
Pages : 252
Book Description
Nonferrous Metals; World Production-consumption Situation Background Analysis for European Recovery Program
Author: United States. Economic Cooperation Administration
Publisher:
ISBN:
Category : Mineral industries
Languages : en
Pages : 64
Book Description
Publisher:
ISBN:
Category : Mineral industries
Languages : en
Pages : 64
Book Description
Background Analysis
The Implications of Cost-effectiveness Analysis of Medical Technology : Background Paper #2
Author: United States. Congress. Office of Technology Assessment
Publisher:
ISBN:
Category : Medical care
Languages : en
Pages : 86
Book Description
Publisher:
ISBN:
Category : Medical care
Languages : en
Pages : 86
Book Description
Handbook of International Large-Scale Assessment
Author: Leslie Rutkowski
Publisher: CRC Press
ISBN: 1439895147
Category : Mathematics
Languages : en
Pages : 623
Book Description
Winner of the 2017 AERA Division D Significant Contribution to Educational Measurement and Research Methodology Award! Technological and statistical advances, along with a strong interest in gathering more information about the state of our educational systems, have made it possible to assess more students, in more countries, more often, and in more subject domains. The Handbook of International Large-Scale Assessment: Background, Technical Issues, and Methods of Data Analysis brings together recognized scholars in the field of ILSA, behavioral statistics, and policy to develop a detailed guide that goes beyond database user manuals. After highlighting the importance of ILSA data to policy and research, the book reviews methodological aspects and features of the studies based on operational considerations, analytics, and reporting. The book then describes methods of interest to advanced graduate students, researchers, and policy analysts who have a good grounding in quantitative methods, but who are not necessarily quantitative methodologists. In addition, it provides a detailed exposition of the technical details behind these assessments, including the test design, the sampling framework, and estimation methods, with a focus on how these issues impact analysis choices.
Publisher: CRC Press
ISBN: 1439895147
Category : Mathematics
Languages : en
Pages : 623
Book Description
Winner of the 2017 AERA Division D Significant Contribution to Educational Measurement and Research Methodology Award! Technological and statistical advances, along with a strong interest in gathering more information about the state of our educational systems, have made it possible to assess more students, in more countries, more often, and in more subject domains. The Handbook of International Large-Scale Assessment: Background, Technical Issues, and Methods of Data Analysis brings together recognized scholars in the field of ILSA, behavioral statistics, and policy to develop a detailed guide that goes beyond database user manuals. After highlighting the importance of ILSA data to policy and research, the book reviews methodological aspects and features of the studies based on operational considerations, analytics, and reporting. The book then describes methods of interest to advanced graduate students, researchers, and policy analysts who have a good grounding in quantitative methods, but who are not necessarily quantitative methodologists. In addition, it provides a detailed exposition of the technical details behind these assessments, including the test design, the sampling framework, and estimation methods, with a focus on how these issues impact analysis choices.
History Teacher's Magazine
Background Practices
Author: Hubert L. Dreyfus
Publisher: Oxford University Press
ISBN: 0192516027
Category : Philosophy
Languages : en
Pages : 269
Book Description
This volume presents a selection of Hubert Dreyfus's pioneering work in bringing phenomenology and existentialism to bear on the philosophical and scientific study of the mind. Each of the thirteen essays interprets, develops, and extends the insights of his predecessors working in the European philosophical tradition. One of Dreyfus' central contributions to reading the historical canon of philosophy comes from his recognition that great philosophers help us to understand the "background practices" of a culture - the practices that shape and embody our most basic understanding of ourselves and the things and situations we encounter in our world. Background practices are all too often overlooked completely, or else their importance is misunderstood. Each chapter in this volume shows in one way or another how a broad range of philosophical topics can only be properly understood when we recognize how they are grounded in the background practices that shape our lives and give meaning to our activities, our tasks, our normative commitments, our aims and our goals.
Publisher: Oxford University Press
ISBN: 0192516027
Category : Philosophy
Languages : en
Pages : 269
Book Description
This volume presents a selection of Hubert Dreyfus's pioneering work in bringing phenomenology and existentialism to bear on the philosophical and scientific study of the mind. Each of the thirteen essays interprets, develops, and extends the insights of his predecessors working in the European philosophical tradition. One of Dreyfus' central contributions to reading the historical canon of philosophy comes from his recognition that great philosophers help us to understand the "background practices" of a culture - the practices that shape and embody our most basic understanding of ourselves and the things and situations we encounter in our world. Background practices are all too often overlooked completely, or else their importance is misunderstood. Each chapter in this volume shows in one way or another how a broad range of philosophical topics can only be properly understood when we recognize how they are grounded in the background practices that shape our lives and give meaning to our activities, our tasks, our normative commitments, our aims and our goals.