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Automated Self-Convolution Applied to Synchrotron Radiation Spectra

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Automated Self-Convolution Applied to Synchrotron Radiation Spectra

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    1. Automated Self-Convolution Applied to Synchrotron Radiation Spectra

    2. Motivation & “What’s New”

    3. Convolution (Faltung)

    4. Cumulative Probability Density Distributions

    5. Synchrotron Radiation

    6. Road Map for analytic convolution

    7. Coordinates & Defnitions

    8. Semi-invariants

    9. Inverse transform and use of reduced variable

    10. Tchebychev-Hermite polynomial expansion about gaussian kernel

    11. Algorithm, program & example

    12. Definitions for longitudinal motion & synchrotron radiation

    13. Longitudinal FDEs for synchrotron radiation

    14. Simulations of the CLS longitudinal dynamics

    15. Selected References

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