Phil Lucht Math & Physics Archive
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spectral index

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A short word-processor index file for Phil's Spectral Theory book, headed with his initials and the date 3.4.04. It lists topics with chapter and page numbers, including the Fourier integral transform, convolution theorem, Green's function, Laplace transform connection, delta and step function spectra, differentiation and integration rules, pulse trains, Fourier series, sinc function and biphase pulses. The extracted text appears to cover only the first part of the index.

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Extracted text (machine-read; may contain errors)
Spectral Theory Index PhL 3.4.04 1 1 Fourier Integral Transform 1 1 Convolution Theorem 1 3 Green's Function 1 5 conventions 1 6 Laplace Transform, connection to 1 7 Reflection rule for real x(t) 1 8 delta function, spectrum of 1 8 step function, spectrum of 1 8 square pulse, spectrum of 1 10 area rule 1 11 differentiation rule 1 11 integration rule 1 12 translation rules 1 13 exponential sum rules 1 12 delta function technology 2 1 spectrum of a pulse train 2 4 Fourier Series, connection with 2 7 square wave pulse train, Fourier Series of 2 7 sinc function 2 10 pulse trains, non-positive 2 10 biphase pulse and pulsetrain 3