The division theorem for smooth functions

The division theorem for smooth functions

We discuss Lojasiewicz's beautiful proof of the division theorem for smooth functions. The standard proofs are based on the Weierstrass preparation theorem for analytic functions and use techniques from the theory of partial differential equations. Lojasiewicz's approach is more geometric...

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Bibliographic Details
Main Author: De Wet, P.O. (Pieter Oloff)
Other Authors: Fouche, W.L.
Published: 2013
Subjects:
Differential equations partial
Analytic functions
Commutative algebra
Smoothness of functions
UCTD
Online Access:http://hdl.handle.net/2263/26530
De Wet, PO 2002, The division theorem for smooth functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26530 >
http://upetd.up.ac.za/thesis/available/etd-07222005-122154/

Internet

http://hdl.handle.net/2263/26530
De Wet, PO 2002, The division theorem for smooth functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26530 >
http://upetd.up.ac.za/thesis/available/etd-07222005-122154/

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