Analytic extrapolation inL∞-norm: An alternative approach to “QCD Sum Rules”

In view of physical applications (especially to “QCD Sum Rules”), the following problem, pertaining to analytic extrapolation techniques, is studied. We are considering “amplitudes,” which are (real) analytic functions in the complex plane cut alongΓ=[s0, ∞). A modelF0(s) of the amplitude is given through the values ofF0(s) on some intervalγ=[s2,s1] (withs1

Keywords:

• Mathematical analysis
• Numerical analysis
• Complex plane
• Complex system
• Extrapolation
• Interpolation
• Analytic function
• QCD sum rules
• Nonlinear system
• Mathematics
• Discontinuity (linguistics)
• Amplitude

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