On Wavelet Fundamental Solutions to the Heat Equation Heatlets
نویسندگان
چکیده
We present an application of wavelet theory in partial differential equations. We study the wavelet fundamental solutions to the heat equation. The heat evolution of an initial wavelet state is called a heatlet. Like wavelets for the L space, heatlets are ``atomic'' heat evolutions in the sense that any general heat evolution can be ``assembled'' from a heatlet according to some simple rules. We study the basic properties and algorithms of heatlets and related functions. 2000 Academic Press
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