Summary
Gel’fand and Levitan’s procedure for the construction of a potential from the spectral measure function is here simplified and made practical. Several theorems of purely mathematical character are also proved and their bearing on concrete problems exhibited.
Riassunto
Il metodo di Gel’fand e Levitan per la ricostruzione del potenziale dalla funzione spettrale viene reso più semplice e rapido. Si mette pure in evidenza la portata di alcuni teoremi matematici su problemi di carattere pratico.
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References
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The conditions assumed in (1) are such that this is true.
One of the results in (1) was that large zeros tend to diverge asymptotically from the real axis when their moduli increase.
T. Regge:Nuovo Cimento,3, 295 (1958).
Fourier Transforms in the complex domain. ByR. E. A. C. Paley andN. Wiener. (American Mathematical Society Colloquium Publications, Vol. XIX).
R. P. Boas:Entire Functions (New York, 1954).
M. Verde:Nuovo Cimento,6, 340 (1957).
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Regge, T. Construction of potentials from resonance parameters. Nuovo Cim 9, 491–503 (1958). https://doi.org/10.1007/BF02725104
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DOI: https://doi.org/10.1007/BF02725104