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139 results on '"Cui, Minggen"'

31. The Heisenberg uncertainty relation in harmonic analysis on p-adic numbers field

Author

Zhang Yanying and Cui Minggen

Subjects
Algebra and Number Theory, Uncertainty principle, Relation (database), Mathematics::Number Theory, Applied Mathematics, Mathematical analysis, Field (mathematics), Function (mathematics), Center (group theory), Harmonic analysis, symbols.namesake, Fourier transform, Calculus, symbols, Geometry and Topology, Analysis, Mathematics, p-adic number
Abstract

In this paper, two important geometric concepts- grapical center and width, are introduced in p-adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in p-adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on p-adic numbers field.

Published
2005

32. Nonlinear Numerical Analysis in Reproducing Kernel Space

Author

Cui, Minggen, Lin, Yingzhen, Cui, Minggen, and Lin, Yingzhen

Subjects
Nonlinear difference equations--Numerical solutions, Hilbert space
Abstract

Although the application of reproducing kernel has been explored in different fields in the past twenty to thirty years and the relevant researches are active in the recent five years, there is still not a book on the application of reproducing kernel. This book attempts to introduce solutions to readers engaged in this mathematical application, especially the constructing theory of the reproducing kernel space that the authors originally created and gradually improved. Reproducing kernel space is a special Hilbert space. The authors have been engaged in the constructing theory research of the reproducing kernel space since 1980s, and worked out a series of specific structural methods for reproducing kernel space and reproducing kernel functions.

Published
2008

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