Integration and harmonic analysis on compact groups / R.E. Edwards.

By:

Edwards, R. E. (Robert E.), 1926-

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 8.Publication details: Cambridge [England] : University Press, 1972.Description: 1 online resource (vi, 184 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107360785
1107360781
9780511662232
0511662238

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Integration and harmonic analysis on compact groups.DDC classification:

512/.2 22

LOC classification:

QA387 .E38 1972eb

Other classification:

31.30
SI 320
SK 430

Online resources:

Click here to access online

Contents:

pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups.

Summary: These notes provide a reasonably self-contained introductory survey of certain aspects of harmonic analysis on compact groups. The first part of the book seeks to give a brief account of integration theory on compact Hausdorff spaces. The second, larger part starts from the existence and essential uniqueness of an invariant integral on every compact Hausdorff group. Topics subsequently outlined include representations, the Peter-Weyl theory, positive definite functions, summability and convergence, spans of translates, closed ideals and invariant subspaces, spectral synthesis problems, the Hausdorff-Young theorem, and lacunarity.

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Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 179-184).

Print version record.

pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups.

These notes provide a reasonably self-contained introductory survey of certain aspects of harmonic analysis on compact groups. The first part of the book seeks to give a brief account of integration theory on compact Hausdorff spaces. The second, larger part starts from the existence and essential uniqueness of an invariant integral on every compact Hausdorff group. Topics subsequently outlined include representations, the Peter-Weyl theory, positive definite functions, summability and convergence, spans of translates, closed ideals and invariant subspaces, spectral synthesis problems, the Hausdorff-Young theorem, and lacunarity.

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