A course in abstract harmonic analysis. (2015)
- Record Type:
- Book
- Title:
- A course in abstract harmonic analysis. (2015)
- Main Title:
- A course in abstract harmonic analysis
- Further Information:
- Note: Gerald B. Folland.
- Authors:
- Folland, G. B
- Contents:
- Banach Algebras and Spectral Theory; Banach Algebras: Basic Concepts; Gelfand Theory; Nonunital Banach Algebras; The Spectral Theorem; Spectral Theory of ∗-Representations; Von Neumann Algebras; Notes and References Locally Compact Groups ; Topological Groups; Haar Measure; Interlude: Some Technicalities; The Modular Function; Convolutions; Homogeneous Spaces; Notes and References Basic Representation Theory; Unitary Representations; Representations of a Group and Its Group Algebra; Functions of Positive Type; Notes and References Analysis on Locally Compact Abelian Groups; The Dual Group; The Fourier Transform; The Pontrjagin Duality Theorem; Representations of Locally Compact Abelian Groups; Closed Ideals in L1 (G) ; Spectral Synthesis; The Bohr Compactification; Notes and References Analysis on Compact Groups; Representations of Compact Groups; The Peter-Weyl Theorem; Fourier Analysis on Compact Groups; Examples; Notes and References Induced Representations; The Inducing Construction; The Frobenius Reciprocity Theorem; Pseudomeasures and Induction in Stages; Systems of Imprimitivity; The Imprimitivity Theorem; Introduction to the Mackey Machine; Examples: The Classics; More Examples, Good and Bad; Notes and References Further Topics in Representation Theory; The Group C* Algebra; The Structure of the Dual Space; Tensor Products of Representations; Direct Integral Decompositions; The Plancherel Theorem; Examples Appendices; A Hilbert Space Miscellany; Trace-Class andBanach Algebras and Spectral Theory; Banach Algebras: Basic Concepts; Gelfand Theory; Nonunital Banach Algebras; The Spectral Theorem; Spectral Theory of ∗-Representations; Von Neumann Algebras; Notes and References Locally Compact Groups ; Topological Groups; Haar Measure; Interlude: Some Technicalities; The Modular Function; Convolutions; Homogeneous Spaces; Notes and References Basic Representation Theory; Unitary Representations; Representations of a Group and Its Group Algebra; Functions of Positive Type; Notes and References Analysis on Locally Compact Abelian Groups; The Dual Group; The Fourier Transform; The Pontrjagin Duality Theorem; Representations of Locally Compact Abelian Groups; Closed Ideals in L1 (G) ; Spectral Synthesis; The Bohr Compactification; Notes and References Analysis on Compact Groups; Representations of Compact Groups; The Peter-Weyl Theorem; Fourier Analysis on Compact Groups; Examples; Notes and References Induced Representations; The Inducing Construction; The Frobenius Reciprocity Theorem; Pseudomeasures and Induction in Stages; Systems of Imprimitivity; The Imprimitivity Theorem; Introduction to the Mackey Machine; Examples: The Classics; More Examples, Good and Bad; Notes and References Further Topics in Representation Theory; The Group C* Algebra; The Structure of the Dual Space; Tensor Products of Representations; Direct Integral Decompositions; The Plancherel Theorem; Examples Appendices; A Hilbert Space Miscellany; Trace-Class and Hilbert-Schmidt Operators; Tensor Products of Hilbert Spaces; Vector-Valued Integrals … (more)
- Edition:
- Second edition
- Publisher Details:
- Boca Raton : Chapman & Hall/CRC
- Publication Date:
- 2015
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 515.2433
Harmonic analysis - Languages:
- English
- ISBNs:
- 9781498727150
- Related ISBNs:
- 9781498727136
- Notes:
- Note: Includes bibliographical references and index.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.138476
- Ingest File:
- 02_157.xml