Vesicle size measurement by static light scattering: a Fourier cosine transform approach

1995 ◽  
Author(s):  
Jianhong Wang ◽  
F. Ross Hallett
Keyword(s):  
Light Scattering ◽  
Static Light Scattering ◽  
Size Measurement ◽  
Cosine Transform ◽  
Vesicle Size ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

FOURIER SINE AND COSINE TRANSFORMS ON BOEHMIAN SPACES

2013 ◽  
Vol 06 (01) ◽  
pp. 1350005 ◽  
Author(s):  
R. Roopkumar ◽  
E. R. Negrin ◽  
C. Ganesan
Keyword(s):  
Fourier Transform ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Sine Transform ◽  
Fourier Sine ◽  
Fourier Sine Transform ◽  
Fourier Cosine Transform ◽  
One To One ◽  
The Fourier Transform

We construct suitable Boehmian spaces which are properly larger than [Formula: see text] and we extend the Fourier sine transform and the Fourier cosine transform more than one way. We prove that the extended Fourier sine and cosine transforms have expected properties like linear, continuous, one-to-one and onto from one Boehmian space onto another Boehmian space. We also establish that the well known connection among the Fourier transform, Fourier sine transform and Fourier cosine transform in the context of Boehmians. Finally, we compare the relations among the different Boehmian spaces discussed in this paper.

scholarly journals On a property of the Fourier-cosine transform

1988 ◽  
Vol 1 (3) ◽  
pp. 307-310 ◽  
Author(s):  
C.A.M. van Berkel ◽  
J. de Graaf
Keyword(s):  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

Photonic approach for microwave spectral analysis based on Fourier cosine transform

2011 ◽  
Vol 36 (19) ◽  
pp. 3897 ◽  
Author(s):  
Yun Wang ◽  
Hao Chi ◽  
Xianmin Zhang ◽  
Shilie Zheng ◽  
Xiaofeng Jin
Keyword(s):  
Spectral Analysis ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

scholarly journals On a dual integral equation with a trigonometric kernel

1977 ◽  
Vol 18 (2) ◽  
pp. 175-177 ◽  
Author(s):  
D. C. Stocks
Keyword(s):  
Integral Equation ◽  
Elasticity Theory ◽  
Integral Equations ◽  
Crack Problem ◽  
Dual Integral Equation ◽  
Dual Integral Equations ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform ◽  
Image Position

In this note we formally solve the following dual integral equations:where h is a constant and the Fourier cosine transform of u–1 φ(u) is assumed to exist. These dual equations arise in a crack problem in elasticity theory.

Solution of the Doppler broadening function based on the fourier cosine transform

2008 ◽  
Vol 35 (10) ◽  
pp. 1878-1881 ◽  
Author(s):  
Alessandro da C. Gonçalves ◽  
Aquilino S. Martinez ◽  
Fernando C. da Silva
Keyword(s):  
Doppler Broadening ◽  
Cosine Transform ◽  
Fourier Cosine ◽  
Fourier Cosine Transform

scholarly journals On Positivity of Fourier Transforms

2006 ◽  
Vol 74 (1) ◽  
pp. 133-138 ◽  
Author(s):  
E.O. Tuck
Keyword(s):  
Complex Plane ◽  
Real Function ◽  
Convex Functions ◽  
Fourier Transforms ◽  
Cosine Transform ◽  
The Real ◽  
Fourier Cosine ◽  
Fourier Cosine Transform ◽  
Positive Line

This note concerns Fourier transforms on the real positive line. In particular, we seek conditions on a real function u(x) in x > 0, that ensure that its Fourier-cosine transform v(t) = u(x) cos xt dx is positive. We prove first that this is so for all t > 0, if u"(x) > 0 for all x > 0, that is, that everywhere-convex functions have everywhere-positive Fourier-cosine transforms. We then obtain a complex-plane criterion for some types of non-convex u(x). Finally we consider criteria on u(x) that imply positivity of v(t) for t > t0, for some t0 > 0.

Sign in / Sign up

Export Citation Format

Share Document