On Cantor's Theorem Concerning the Coefficients of a Convergent Trigonometric Series, with Generalizations

1909 ◽  
Vol 10 (3) ◽  
pp. 337
Author(s):  
William F. Osgood
Keyword(s):  
Trigonometric Series ◽  
Convergent Trigonometric Series ◽  
Cantor’S Theorem

On the K-dependence of the electrical field in a crystalline slab of oscillating charges

1981 ◽  
Vol 59 (7) ◽  
pp. 929-933 ◽  
Author(s):  
J. Grindlay
Keyword(s):  
Electric Field ◽  
Trigonometric Series ◽  
Wave Vector ◽  
Short Range ◽  
Electrical Field ◽  
Ewald Sum ◽  
Convergent Trigonometric Series ◽  
Short Range Part ◽  
Range Part

The short range part of the electric field of a crystalline slab array of oscillating charges (a) is related to the Ewald sum and (b) can be represented by a rapidly convergent trigonometric series involving the wave vector K. Values for the coefficients of the first few terms of this series are reported for lattice sites in the sc, fcc, bcc, NaCl, CsCl structures and the symmetry directions (1,0,0), (1,1,0), (1,1,1).

Uniqueness of Rectangularly Convergent Trigonometric Series

1993 ◽  
Vol 137 (1) ◽  
pp. 145 ◽  
Author(s):  
J. Marshall Ash ◽  
Chris Freiling ◽  
Dan Rinne
Keyword(s):  
Trigonometric Series ◽  
Convergent Trigonometric Series
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