Abstract
Let f: ℝ → ℝ be a function of period 2 π.
The interplay between generality and individuality, deduction and construction, logic and imagination—this is the profound essence of live mathematics.
Any one or another of the aspects can be at the center of a given achievement. In a far-reaching development all of them will be involved. Generally speaking, such a development will start from the “concrete ground,” then discard ballast by abstraction and rise to the lofty layers of thin air where navigations and observations are easy; after this flight comes the crucial test of landing and reaching specific goals in the newly surveyed low plains of individual “reality.”
In brief, the flight into abstract generality must start from and return to the concrete and the specific. Richard Courant (1888–1972)
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© 1995 Springer Science+Business Media New York
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Zeidler, E. (1995). Hilbert Spaces and Generalized Fourier Series. In: Applied Functional Analysis. Applied Mathematical Sciences, vol 108. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0815-0_3
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DOI: https://doi.org/10.1007/978-1-4612-0815-0_3
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