http:^^www.cs.wisc.edu^~deboor^ftpreadme.html

This data set contains WWW-pages collected from computer science departments of various universities

Integral error formul{\ae} for the scale of mean value interpolations which<BR>
includes Kergin and Hakopian interpolation<BR>
Shayne Waldron<BR>
July 1994<BR>

<P>
<DD><!WA90><!WA90><!WA90><!WA90><A href="ftp://ftp.cs.wisc.edu/Approx/hermite.ps"><!WA91><!WA91><!WA91><!WA91><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hermite.ps</TT>,   <!WA92><!WA92><!WA92><!WA92><A href="ftp://ftp.cs.wisc.edu/Approx/hermite.ps.Z"><!WA93><!WA93><!WA93><!WA93><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>hermite.ps.Z</TT> :=<BR>
$L_p$-error bounds for Hermite interpolation and the associated Wirtinger<BR>
inequalities<BR>
Shayne Waldron<BR>
May 1994<BR>

<P>
<DD><!WA94><!WA94><!WA94><!WA94><A href="ftp://ftp.cs.wisc.edu/Approx/extremising.ps"><!WA95><!WA95><!WA95><!WA95><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>extremising.ps</TT>,   <!WA96><!WA96><!WA96><!WA96><A href="ftp://ftp.cs.wisc.edu/Approx/extremising.ps.Z"><!WA97><!WA97><!WA97><!WA97><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>extremising.ps.Z</TT> :=<BR>
Extremising the $L_p$-norm of a monic polynomial with roots in a given<BR>
interval and Hermite interpolation<BR>
Shayne Waldron<BR>
May 1994<BR>

<P>
<DD><!WA98><!WA98><!WA98><!WA98><A href="ftp://ftp.cs.wisc.edu/Approx/polintelim.ps"><!WA99><!WA99><!WA99><!WA99><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintelim.ps</TT>,   <!WA100><!WA100><!WA100><!WA100><A href="ftp://ftp.cs.wisc.edu/Approx/polintelim.ps.Z"><!WA101><!WA101><!WA101><!WA101><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polintelim.ps.Z</TT> :=<BR>
Gauss elimination by segments and multivariate polynomial interpolation<BR>
Carl de Boor<BR>
March 1994<BR>
in (Approximation and Computation), R.V.M. Zahar (ed.),<BR>
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;<BR>

<P>
<DD><!WA102><!WA102><!WA102><!WA102><A href="ftp://ftp.cs.wisc.edu/Approx/sphere.ps"><!WA103><!WA103><!WA103><!WA103><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sphere.ps</TT>,   <!WA104><!WA104><!WA104><!WA104><A href="ftp://ftp.cs.wisc.edu/Approx/sphere.ps.Z"><!WA105><!WA105><!WA105><!WA105><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sphere.ps.Z</TT> :=<BR>
Strictly positive definite functions on spheres<BR>
Amos Ron and Xingping Sun<BR>
February 1994<BR>
to appear in Math. Comp.<BR>

<P>
<DD><!WA106><!WA106><!WA106><!WA106><A href="ftp://ftp.cs.wisc.edu/Approx/frame1.ps"><!WA107><!WA107><!WA107><!WA107><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame1.ps</TT>,   <!WA108><!WA108><!WA108><!WA108><A href="ftp://ftp.cs.wisc.edu/Approx/frame1.ps.Z"><!WA109><!WA109><!WA109><!WA109><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>frame1.ps.Z</TT> :=<BR>
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$<BR>
Amos Ron and Zuowei Shen<BR>
February 1994<BR>
Canad. Math. J. (1995)<BR>

<P>
<DD><!WA110><!WA110><!WA110><!WA110><A href="ftp://ftp.cs.wisc.edu/Approx/pscattered.ps"><!WA111><!WA111><!WA111><!WA111><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>pscattered.ps</TT>,   <!WA112><!WA112><!WA112><!WA112><A href="ftp://ftp.cs.wisc.edu/Approx/pscattered.ps.Z"><!WA113><!WA113><!WA113><!WA113><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>pscattered.ps.Z</TT> :=<BR>
$L^p$-approximation orders with scattered centres<BR>
Martin D. Buhmann and Amos Ron<BR>
January 1994<BR>

<P>
<DD><!WA114><!WA114><!WA114><!WA114><A href="ftp://ftp.cs.wisc.edu/Approx/scattered.ps"><!WA115><!WA115><!WA115><!WA115><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>scattered.ps</TT>,   <!WA116><!WA116><!WA116><!WA116><A href="ftp://ftp.cs.wisc.edu/Approx/scattered.ps.Z"><!WA117><!WA117><!WA117><!WA117><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>scattered.ps.Z</TT> :=<BR>
Radial basis function approximation: from gridded centers to scattered centers<BR>
Nira Dyn and Amos Ron<BR>
November 1993<BR>
Proc. London Math. Soc. (1995)<BR>

<P>
<DD><!WA118><!WA118><!WA118><!WA118><A href="ftp://ftp.cs.wisc.edu/Approx/approxloc.ps"><!WA119><!WA119><!WA119><!WA119><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>approxloc.ps</TT>,   <!WA120><!WA120><!WA120><!WA120><A href="ftp://ftp.cs.wisc.edu/Approx/approxloc.ps.Z"><!WA121><!WA121><!WA121><!WA121><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>approxloc.ps.Z</TT> :=<BR>
Approximation orders of  and approximation maps from  local principal <BR>
shift-invariant spaces<BR>
Amos Ron<BR>
May 1993<BR>
JAT (1995)<BR>

<P>
<DD><!WA122><!WA122><!WA122><!WA122><A href="ftp://ftp.cs.wisc.edu/Approx/boxeval.ps"><!WA123><!WA123><!WA123><!WA123><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>boxeval.ps</TT>,   <!WA124><!WA124><!WA124><!WA124><A href="ftp://ftp.cs.wisc.edu/Approx/boxeval.ps.Z"><!WA125><!WA125><!WA125><!WA125><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>boxeval.ps.Z</TT> :=<BR>
On the evaluation of box splines,<BR>
Carl de Boor<BR>
March 1993 <BR>
has appeared in Numer.Algorithms; 5; 1993; 5--23;<BR>

<P>
<DD><!WA126><!WA126><!WA126><!WA126><A href="ftp://ftp.cs.wisc.edu/Approx/multpp.ps"><!WA127><!WA127><!WA127><!WA127><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multpp.ps</TT>,   <!WA128><!WA128><!WA128><!WA128><A href="ftp://ftp.cs.wisc.edu/Approx/multpp.ps.Z"><!WA129><!WA129><!WA129><!WA129><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>multpp.ps.Z</TT> :=<BR>
Multivariate piecewise polynomials,<BR>
Carl de Boor<BR>
October 1992 <BR>
has appeared in Acta Numerica; 2; 1993; 65--109;<BR>

<P>
<DD><!WA130><!WA130><!WA130><!WA130><A href="ftp://ftp.cs.wisc.edu/Approx/wav2.ps"><!WA131><!WA131><!WA131><!WA131><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wav2.ps</TT>,   <!WA132><!WA132><!WA132><!WA132><A href="ftp://ftp.cs.wisc.edu/Approx/wav2.ps.Z"><!WA133><!WA133><!WA133><!WA133><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wav2.ps.Z</TT> :=<BR>
Multiresolution analysis by infinitely differentiable compactly<BR>
supported functions<BR>
Nira Dyn, Amos  Ron<BR>
September 1992<BR>
ACHA (1995)<BR>

<P>
<DD><!WA134><!WA134><!WA134><!WA134><A href="ftp://ftp.cs.wisc.edu/Approx/stablemask.ps"><!WA135><!WA135><!WA135><!WA135><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stablemask.ps</TT>,   <!WA136><!WA136><!WA136><!WA136><A href="ftp://ftp.cs.wisc.edu/Approx/stablemask.ps.Z"><!WA137><!WA137><!WA137><!WA137><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>stablemask.ps.Z</TT> :=<BR>
Characterizations of linear independence and stability of the shifts of a <BR>
univariate refinable function in terms of its refinement mask<BR>
Amos Ron<BR>
September 1992<BR>

<P>
<DD><!WA138><!WA138><!WA138><!WA138><A href="ftp://ftp.cs.wisc.edu/Approx/sct1.ps"><!WA139><!WA139><!WA139><!WA139><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sct1.ps</TT>,   <!WA140><!WA140><!WA140><!WA140><A href="ftp://ftp.cs.wisc.edu/Approx/sct1.ps.Z"><!WA141><!WA141><!WA141><!WA141><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>sct1.ps.Z</TT> :=<BR>
Negative observations concerning approximations from spaces generated by <BR>
scattered shifts of functions vanishing at $\infty$<BR>
Amos Ron<BR>
September 1992<BR>
has appeared in \JAT; 78(3); 1994; 364--372;<BR>

<P>
<DD><!WA142><!WA142><!WA142><!WA142><A href="ftp://ftp.cs.wisc.edu/Approx/aowoquasi.ps"><!WA143><!WA143><!WA143><!WA143><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aowoquasi.ps</TT>,   <!WA144><!WA144><!WA144><!WA144><A href="ftp://ftp.cs.wisc.edu/Approx/aowoquasi.ps.Z"><!WA145><!WA145><!WA145><!WA145><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aowoquasi.ps.Z</TT> :=<BR>
Approximation order without quasi-interpolants<BR>
Carl de Boor<BR>
August 1992<BR>
has appeared in \TexasVII; 1--18;<BR>

<P>
<DD><!WA146><!WA146><!WA146><!WA146><A href="ftp://ftp.cs.wisc.edu/Approx/ker.ps"><!WA147><!WA147><!WA147><!WA147><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker.ps</TT>,   <!WA148><!WA148><!WA148><!WA148><A href="ftp://ftp.cs.wisc.edu/Approx/ker.ps.Z"><!WA149><!WA149><!WA149><!WA149><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>ker.ps.Z</TT> :=<BR>
On ascertaining inductively the dimension of the joint kernel <BR>
of certain commuting linear operators<BR>
Carl de Boor, Amos Ron, Zuowei Shen<BR>
June 1992; updated Apr 96 to reflect copy editor's changes<BR>
has appeared in \AiAM; 17; 1996; 209--250;<BR>

<P>
<DD><!WA150><!WA150><!WA150><!WA150><A href="ftp://ftp.cs.wisc.edu/Approx/aoradial.ps"><!WA151><!WA151><!WA151><!WA151><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoradial.ps</TT>,   <!WA152><!WA152><!WA152><!WA152><A href="ftp://ftp.cs.wisc.edu/Approx/aoradial.ps.Z"><!WA153><!WA153><!WA153><!WA153><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoradial.ps.Z</TT> :=<BR>
The $L_2$-Approximation Orders of Principal Shift-Invariant<BR>
Spaces Generated by a Radial Basis Function<BR>
Amos Ron<BR>
March 1992<BR>
has appeared in \Nmatnion; 245--268;<BR>

<P>
<DD><!WA154><!WA154><!WA154><!WA154><A href="ftp://ftp.cs.wisc.edu/Approx/aobivar.ps"><!WA155><!WA155><!WA155><!WA155><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aobivar.ps</TT>,   <!WA156><!WA156><!WA156><!WA156><A href="ftp://ftp.cs.wisc.edu/Approx/aobivar.ps.Z"><!WA157><!WA157><!WA157><!WA157><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aobivar.ps.Z</TT> :=<BR>
A sharp upper bound on the approximation order of smooth bivariate pp functions<BR>
Carl de Boor and Rong-Qing Jia<BR>
March 1992<BR>
has appeared in J.Approx.Theory; 72(1); 1993; 24--33;<BR>

<P>
<DD><!WA158><!WA158><!WA158><!WA158><A href="ftp://ftp.cs.wisc.edu/Approx/wavelet.ps"><!WA159><!WA159><!WA159><!WA159><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wavelet.ps</TT>,   <!WA160><!WA160><!WA160><!WA160><A href="ftp://ftp.cs.wisc.edu/Approx/wavelet.ps.Z"><!WA161><!WA161><!WA161><!WA161><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>wavelet.ps.Z</TT> :=<BR>
On the construction of multivariate (pre)wavelets<BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in Constr.Approx.; 9; 1993; 123--166;<BR>

<P>
<DD><!WA162><!WA162><!WA162><!WA162><A href="ftp://ftp.cs.wisc.edu/Approx/several.ps"><!WA163><!WA163><!WA163><!WA163><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>several.ps</TT>,   <!WA164><!WA164><!WA164><!WA164><A href="ftp://ftp.cs.wisc.edu/Approx/several.ps.Z"><!WA165><!WA165><!WA165><!WA165><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>several.ps.Z</TT> :=<BR>
The structure of finitely generated shift-invariant spaces in $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in J. of Functional Analysis 119(1); 1994; 37--78;<BR>

<P>
<DD><!WA166><!WA166><!WA166><!WA166><A href="ftp://ftp.cs.wisc.edu/Approx/polinterr.ps"><!WA167><!WA167><!WA167><!WA167><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polinterr.ps</TT>,   <!WA168><!WA168><!WA168><!WA168><A href="ftp://ftp.cs.wisc.edu/Approx/polinterr.ps.Z"><!WA169><!WA169><!WA169><!WA169><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>polinterr.ps.Z</TT> :=<BR>
On the error in multivariate polynomial interpolation<BR>
Carl de Boor<BR>
has appeared in Applied Numerical Mathematics; 10; 1992; 297--305;<BR>

<P>
<DD><!WA170><!WA170><!WA170><!WA170><A href="ftp://ftp.cs.wisc.edu/Approx/l2shift.ps"><!WA171><!WA171><!WA171><!WA171><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>l2shift.ps</TT>,   <!WA172><!WA172><!WA172><!WA172><A href="ftp://ftp.cs.wisc.edu/Approx/l2shift.ps.Z"><!WA173><!WA173><!WA173><!WA173><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>l2shift.ps.Z</TT> := <BR>
Approximation from shift-invariant subspaces of $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
July 1991<BR>
has appeared in Trans.Amer.Math.Soc. 341; 1994; 787--806;<BR>
%%% note, this file has the name `ell-2-shift', not `one-two-shift'.<BR>

<P>
<DD><!WA174><!WA174><!WA174><!WA174><A href="ftp://ftp.cs.wisc.edu/Approx/aoinfty.ps"><!WA175><!WA175><!WA175><!WA175><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoinfty.ps</TT>,   <!WA176><!WA176><!WA176><!WA176><A href="ftp://ftp.cs.wisc.edu/Approx/aoinfty.ps.Z"><!WA177><!WA177><!WA177><!WA177><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>aoinfty.ps.Z</TT> :=<BR>
Fourier analysis of the approximation power of principal shift-invariant spaces<BR>
Carl de Boor, Amos Ron<BR>
July 1991<BR>
has appeared in  Constr.Approx.; 8; 1992; 427--462;<BR>

<P>
<DD><!WA178><!WA178><!WA178><!WA178><A href="ftp://ftp.cs.wisc.edu/Approx/quasiaprx.ps"><!WA179><!WA179><!WA179><!WA179><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiaprx.ps</TT>,   <!WA180><!WA180><!WA180><!WA180><A href="ftp://ftp.cs.wisc.edu/Approx/quasiaprx.ps.Z"><!WA181><!WA181><!WA181><!WA181><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>quasiaprx.ps.Z</TT> :=<BR>
Quasiinterpolants and approximation power of multivariate splines<BR>
Carl de Boor<BR>
July 1990<BR>
has appeared in<BR>
(Computations of curves and surfaces), Dahmen, Gasca, Micchelli <BR>
(eds.), Kluwer (Dordrecht, Netherlands); 1990; 313--345;<BR>

<P>
<DD><!WA182><!WA182><!WA182><!WA182><A href="ftp://ftp.cs.wisc.edu/Approx/leastsol.ps"><!WA183><!WA183><!WA183><!WA183><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>
<TT>leastsol.ps</TT>,   <!WA184><!WA184><!WA184><!WA184><A href="ftp://ftp.cs.wisc.edu/Approx/leastsol.ps.Z"><!WA185><!WA185><!WA185><!WA185><img alg="o" src="http://www.cs.wisc.edu/~deboor/redball.gif"></A>