97,832 research outputs found
An analytic Yeh-Feynman-Fourier transform and convolution
No full textLet C\sb0\lbrack0,T\rbrack denote Wiener space. Brue introduced the idea of an L\sp1 analytic Feynman-Fourier transform of functionals on C\sb0\lbrack0,T\rbrack in 1971. Since then many people including Cameron, Johnson, Martin, Skoug and Storvick have extended this theory to L\sp{p} with 1 p 2 for many classes of functionals. Recently, there has also been interest in convolution of functionals on C\sb0\lbrack0,T\rbrack and its relationship to the analytic Feynman-Fourier Transform. Let Q = (0,b) and let C\sb2\lbrack Q\rbrack = \{x(s,t): x is real valued, continuous on Q and x(0,t) = x(s,0) = 0. Yeh developed a measure m on this space and hence we will call C\sb2\lbrack Q\rbrack together with m, Yeh-Wiener Space. In this dissertation we will create an L\sp{p} analytic Yeh-Feynman-Fourier transform of functionals on C\sb2\lbrack Q\rbrack. Also a convolution product will be introduced for functionals on C\sb2\lbrack Q\rbrack. We then show that this transform and convolution product have many of the same properties as the Fourier transform of functions on \Re\sp{n}. That is, we show the inverse transform of the transform of a functional is the original functional. Also we show that the transform of the convolution equals the product of the transforms. Finally, we consider an identity similar to the Plancherel identity. In chapter one we give the basic definitions of Yeh-Wiener space, the analytic Yeh-Feynman-Fourier transform and convolution product. We then consider three classes of functionals on C\sb2\lbrack Q\rbrack. In chapter two we consider functionals of the form F(x) = f(x(s\sb1,t\sb1),x(s\sb1,t\sb2),\...,x(s\sb{m},t\sb{n})). Next, in chapter three we consider functionals of the form F(x) = \int\sb{Q}\int f(s,t,x(s,t)ds dt. Finally we consider functionals of the form F(x) = f(\int\int\sb{Q}\alpha\sb1dx(s,t),\...,\int \int \alpha\sb{n}dx(s,t)) in chapter four. We then close our work by giving a number of specific examples of the transform and its properties in chapter five
Measurement of stoichiometries of single biomolecular complexes using FRET photon statistics
No full textFore S, Yeh Y, Balhorn R, Huser T, Cosman M. Measurement of stoichiometries of single biomolecular complexes using FRET photon statistics. Biophysical Journal. 2005;88(1):363A-363A
Conformational Analysis of the Sodium/12-Crown-4 Complex: Photoionization and ab Initio Molecular Orbital Studies
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Conformational Analysis of the Molecular Complexes of Sodium with Methanol and 1,2-Ethanediol: Photoionization and ab Initio Molecular Orbital Studies
No full textDr. Glendon Swarthout
No full textHosted by Roger M. Busfield, MSU Assistant Professor of Speech and Theater, Meet the Author is designed to introduce a general audience to a contemporary author and their work through in-depth interviews. This episode features a conversation between Dr. Glendon Swarthout, prolific author and English professor at MSU, and assistant professors Sam S. Baskett and Theodore B. Strandness
Conformational Analysis of Molecular Complexes between Sodium and 1,2-Dimethoxyethane: Photoionization and ab Initio Molecular Orbital Studies
No full textLow-pressure diffusion bonding of SAE 316 stainless steel by inserting a superplastic interlayer
No full textHCP842 tractography atlas figures
No full textYeh, F. C., Panesar, S., Fernandes, D., Meola, A., Yoshino, M., Fernandez-Miranda, J. C., ... & Verstynen, T. (2018). Population-averaged atlas of the macroscale human structural connectome and its network topology. NeuroImage, 178, 57-68.</p
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