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Intrinsic mono‐component decomposition of functions: An advance of Fourier theory
Author(s) -
Qian Tao
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1214
Subject(s) - decomposition , mathematics , component (thermodynamics) , fourier series , decomposition method (queueing theory) , function (biology) , matrix decomposition , mathematical analysis , discrete mathematics , ecology , eigenvalues and eigenvectors , physics , quantum mechanics , evolutionary biology , biology , thermodynamics
We propose a function decomposition model, called intrinsic mono‐component decomposition (IMD). It is a continuation of the recent study on adaptive decomposition of functions into mono‐components (MCs). It is a further improvement of two recent results of which one is adaptive decomposition of functions into modified inner functions, and the other is decomposition by using adaptive Takenaka‐Malmquist systems. The proposed new decomposition model is of less restriction and thus gains more adaptivity. The theory is valid to both the unit circle and the real line contexts. Copyright © 2009 John Wiley & Sons, Ltd.