Verwandte Artikel zu Harmonic Analysis on Classical Groups

Harmonic Analysis on Classical Groups - Hardcover

Sheng Gong

 
9783540176527: Harmonic Analysis on Classical Groups
Hardcover
ISBN 10: 3540176527 ISBN 13: 9783540176527
Verlag: Springer, 1992

Inhaltsangabe

I. Harmonic Analysis on Unitary Groups.- 0. Preliminary.- 1. Abel Summation of Fourier Series on Unitary Groups.- 2. Cesàro Summations of Fourier Series on Unitary Groups.- 3. Partial Sum of Fourier Series on Unitary Groups.- 4. On Peter-Weyl Theorem.- 5. Spherical Summation of Fourier Series on Unitary Groups.- II. Harmonic Analysis on Rotation Groups.- 6. Abel Summation of Fourier Series on Rotation Groups.- 7. Cesàro Summation of Fourier Series on Rotation Groups.- 8. Partial Sum of Fourier Series on Rotation Groups.- 9. Spherical Summation of Fourier Series on Rotation Groups.- III. Harmonic Analysis on Unitary Symplectic Groups.- 10. The Volume of Unitary Symplectic Group and Criteria of Convergence of Fourier Series.- 11. Cesàro and Abel Summation of Fourier Series on Unitary Symplectic Groups.- 12. Spherical Summation of Fourier Series on Unitary Symplectic Groups.- 13. Harmonic Analysis in Classical Domains on Quaternion Field.- Epilogue.- References.

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Reseña del editor

On the basis of Hua Loo-Keng's results on harmonic analysis on classical groups, the author Gong Sheng develops his subject further, drawing together results of his own research as well as works from other Chinese mathematicians. The book is divided into three parts studying harmonic analysis of various groups. Starting with the discussion on unitary groups in part 1, the author moves on to rotation groups and unitary symplectic groups in parts 2 and 3, providing a survey of harmonic analysis on characteristic manifold of classical domain of first type for real fields, complex fields and quaternion fields.

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Verlag
Springer
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
3540176527
ISBN 13 
9783540176527
Einband
Tapa dura
Anzahl der Seiten
280
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