scholarly journals Quantization of Whitney functions and reduction

2015 ◽  
Vol 13 ◽  
Author(s):  
Markus Pflaum ◽  
Hessel Posthuma ◽  
Xiang Tang
Keyword(s):  
Whitney Functions

scholarly journals Spaces of Whitney Functions on Cantor-Type Sets

2002 ◽  
Vol 54 (2) ◽  
pp. 225-238 ◽  
Author(s):  
Bora Arslan ◽  
Alexander P. Goncharov ◽  
Mefharet Kocatepe
Keyword(s):  
Extension Property ◽  
Compact Set ◽  
Compact Sets ◽  
Whitney Functions ◽  
Type Sets

AbstractWe introduce the concept of logarithmic dimension of a compact set. In terms of this magnitude, the extension property and the diametral dimension of spaces Ɛ(K) can be described for Cantor-type compact sets.

scholarly journals Bases in some spaces of Whitney functions

2018 ◽  
Vol 9 (1) ◽  
pp. 56-71
Author(s):  
Alexander Goncharov ◽  
Zeliha Ural
Keyword(s):  
Whitney Functions

scholarly journals On the homology of algebras of Whitney functions over subanalytic sets

2008 ◽  
Vol 167 (1) ◽  
pp. 1-52 ◽  
Author(s):  
Jean-Paul Brasselet ◽  
Markus Pflaum
Keyword(s):  
Subanalytic Sets ◽  
Whitney Functions

scholarly journals Isomorphic classification of the spaces of Whitney functions.

1997 ◽  
Vol 44 (3) ◽  
pp. 555-577 ◽  
Author(s):  
Alexander P. Goncharov ◽  
Mefharet Kocatepe
Keyword(s):  
Whitney Functions ◽  
Isomorphic Classification

Critical sets of proper Whitney functions in the plane

1997 ◽  
Vol 13 (6) ◽  
Author(s):  
Iaci Malta ◽  
Nicolau Saldanha ◽  
Carlos Tomei
Keyword(s):  
Whitney Functions ◽  
Critical Sets

scholarly journals Invariant Whitney functions

2019 ◽  
Vol 30 (02) ◽  
pp. 1950009
Author(s):  
Hans-Christian Herbig ◽  
Markus J. Pflaum
Keyword(s):  
Lie Group ◽  
Invariant Function ◽  
Compact Lie Group ◽  
Similar Statement ◽  
Real Vector ◽  
Linear Action ◽  
Smooth Functions ◽  
Finite Dimensional ◽  
Subanalytic Set ◽  
Whitney Functions

Theorem 1 of [G. W. Schwarz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975) 63–68.] says that for a linear action of a compact Lie group [Formula: see text] on a finite dimensional real vector space [Formula: see text], any smooth [Formula: see text]-invariant function on [Formula: see text] can be written as a composite with the Hilbert map. We prove a similar statement for the case of Whitney functions along a subanalytic set [Formula: see text] fulfilling some regularity assumptions. In order to deal with the case when [Formula: see text] is not [Formula: see text]-stable, we use the language of groupoids.

Sequence space representations of spaces of Whitney functions

2000 ◽  
Vol 37 (1-2) ◽  
pp. 3-12
Author(s):  
Bora Arslan ◽  
Alexander P. Goncharov ◽  
Mefharet Kocatepe
Keyword(s):  
Sequence Space ◽  
Whitney Functions
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