scholarly journals Spectrum Decomposition of Translation Operators in Periodic Waveguide

2021 ◽  
Vol 81 (1) ◽  
pp. 233-257
Author(s):  
Ruming Zhang
Keyword(s):  
Periodic Waveguide ◽  
Translation Operators ◽  
Spectrum Decomposition

The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2457-2469
Author(s):  
Akhilesh Prasad ◽  
S.K. Verma
Keyword(s):  
Differential Operator ◽  
Function Spaces ◽  
Pseudo Differential Operator ◽  
Test Function ◽  
Basic Properties ◽  
Cone Function ◽  
Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

Spectrum Decomposition through Maximum Likelihood Common Factor Analysis of the EPR Spectra of Na+ Containing Carbonated Apatites Dried at 400°C

1993 ◽  
Vol 53 (6) ◽  
pp. 416-423
Author(s):  
Peter D. W. Moens ◽  
Ronald M. H. Verbeeck ◽  
Paul J. De Volder ◽  
Freddy J. Callens ◽  
Erna A. P. De Maeyer
Keyword(s):  
Factor Analysis ◽  
Maximum Likelihood ◽  
Common Factor ◽  
Epr Spectra ◽  
Common Factor Analysis ◽  
Carbonated Apatites ◽  
Spectrum Decomposition
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