Harmonic Analysis on Classical Groups (Hardcover) (ISBN-13: 9783540176527)

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.

Author: Sheng Kung,Sheng Gong
ISBN-10: 3540176527
ISBN-13: 9783540176527
Publisher: Springer
Language: English
Published: 06/18/1992
Pages: 280
Format: Hardcover
Weight: 1.42lbs
Size: 9.61h x 6.69w x 0.69d