Sampling type reconstruction processes for the disk algebra

Author(s):  
Holger Boche ◽  
Volker Pohl
1989 ◽  
Author(s):  
James W. O'Toole ◽  
David K. Gifford
Keyword(s):  

2006 ◽  
Vol 55 (5) ◽  
pp. 1751-1766 ◽  
Author(s):  
Vern I. Paulsen ◽  
Dinesh Singh
Keyword(s):  

1992 ◽  
Vol 242 ◽  
Author(s):  
Takashi Tsuno ◽  
Takahiro Imai ◽  
Yoshiki Nishibayashi ◽  
Naoji Fujimori

ABSTRACTUndoped and boron-doped diamond epitaxial films were deposited on diamond(001) substrate by micro-wave plasma assisted chemical vapor deposition and their surfaces were studied by scanning tunneling microscopy in air. An atomic order resolution was confirmed for the observation.For the undoped epitaxial films, which showed 2×1 and 1×2 RHEED patterns, dimer type reconstruction was observed and it was considered that the growth occurs through the dimer row extension. In the case of B-doped films, the dimer reconstruction was also observed. However, 2×2 structure due to the absence of dimer was partially observed.The effect of boron concentration and methane concentration during epitaxial growth on the surface morphology were also studied. The morphology observed by STM became flatter, as the concentration of B-doping and methane concentration, during growth, increased.


1975 ◽  
Vol 18 (3) ◽  
pp. 375-377
Author(s):  
Bruce Lund
Keyword(s):  

Browder and Wermer in [2] give a method for constructing Dirichlet subalgebras of the disk algebra. In this note we show that these Dirichlet algebras do not contain any non-constant functions which satisfy a Lipschitz-one condition on a subinterval of the unit circle.


1975 ◽  
Vol 18 (1) ◽  
pp. 61-65 ◽  
Author(s):  
Bruce Lund

Let X be a compact Hausdorff space and C(X) the complexvalued continuous functions on X. We say A is a function algebra on X if A is a point separating, uniformly closed subalgebra of C(X) containing the constant functions. Equipped with the sup-norm ‖f‖ = sup{|f(x)|: x ∊ X} for f ∊ A, A is a Banach algebra. Let MA denote the maximal ideal space.Let D be the closed unit disk in C and let U be the open unit disk. We call A(D)={f ∊ C(D):f is analytic on U} the disk algebra. Let T be the unit circle and set C1(T) = {f ∊ C(T): f'(t) ∊ C(T)}.


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