商品描述
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.
商品描述(中文翻譯)
I. 單位群上的調和分析.- 0. 初步.- 1. 單位群上傅立葉級數的阿貝爾求和.- 2. 單位群上傅立葉級數的切薩羅求和.- 3. 單位群上傅立葉級數的部分和.- 4. 彼得-維爾定理.- 5. 單位群上傅立葉級數的球面求和.- II. 旋轉群上的調和分析.- 6. 旋轉群上傅立葉級數的阿貝爾求和.- 7. 旋轉群上傅立葉級數的切薩羅求和.- 8. 旋轉群上傅立葉級數的部分和.- 9. 旋轉群上傅立葉級數的球面求和.- III. 單位辛群上的調和分析.- 10. 單位辛群的體積及傅立葉級數的收斂標準.- 11. 單位辛群上傅立葉級數的切薩羅和阿貝爾求和.- 12. 單位辛群上傅立葉級數的球面求和.- 13. 四元數域上古典領域的調和分析.- 尾聲.- 參考文獻.
