Sampling type reconstruction processes for the disk algebra

2017 ◽  
Author(s):  
Holger Boche ◽  
Volker Pohl
Keyword(s):  
Disk Algebra ◽  
Type Reconstruction

Type Reconstruction with First-Class Polymorphic Values

1989 ◽  
Author(s):  
James W. O'Toole ◽  
David K. Gifford
Keyword(s):  
Type Reconstruction

scholarly journals Modules over subalgebras of the disk algebra

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

STM Study of Diamond(001) Surface

1992 ◽  
Vol 242 ◽  
Author(s):  
Takashi Tsuno ◽  
Takahiro Imai ◽  
Yoshiki Nishibayashi ◽  
Naoji Fujimori
Keyword(s):  
Methane Concentration ◽  
Chemical Vapor ◽  
Epitaxial Films ◽  
Scanning Tunneling ◽  
Tunneling Microscopy ◽  
Boron Doped Diamond ◽  
Boron Doped ◽  
Partially Observed ◽  
Type Reconstruction ◽  
B Doping

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.

Functions Belonging to a Dirichlet Subalgebra of the Disk Algebra

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

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.

The Maximal Ideal Space of Subalgebras of the Disk Algebra

1975 ◽  
Vol 18 (1) ◽  
pp. 61-65 ◽  
Author(s):  
Bruce Lund
Keyword(s):  
Unit Disk ◽  
Maximal Ideal ◽  
Function Algebra ◽  
Continuous Functions ◽  
Maximal Ideal Space ◽  
Open Unit ◽  
Ideal Space ◽  
Disk Algebra ◽  
Closed Subalgebra ◽  
Uniformly Closed

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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