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Schwartz Space

The Schwartz space S(R^n) is the set of all Schwartz functions. If C_0^infty(R^n) denotes the set of smooth functions of compact support on R^n, then this is a subset of S(R^n). Since C_0^infty(R^n) is dense in L^p(R^n), S(R^n) is dense in L^p(R^n) for any p>=1.

See also

Schwartz Function

This entry contributed by W.D. Van Suijlekom

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Cite this as:

Weisstein, Eric W., with contributions by W.D. Van Suijlekom. "Schwartz Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SchwartzSpace.html

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