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Haar Series and Linear Operators (Hardcover, 1996 ed.)
Loot Price: R3,105
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Haar Series and Linear Operators (Hardcover, 1996 ed.)
Series: Mathematics and Its Applications, 367
Expected to ship within 10 - 15 working days
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In 1909 Alfred Haar introduced into analysis a remarkable system
which bears his name. The Haar system is a complete orthonormal
system on [0,1] and the Fourier-Haar series for arbitrary
continuous function converges uniformly to this function. This
volume is devoted to the investigation of the Haar system from the
operator theory point of view. The main subjects treated are:
classical results on unconditional convergence of the Haar series
in modern presentation; Fourier-Haar coefficients; reproducibility;
martingales; monotone bases in rearrangement invariant spaces;
rearrangements and multipliers with respect to the Haar system;
subspaces generated by subsequences of the Haar system; the
criterion of equivalence of the Haar and Franklin systems.
Audience: This book will be of interest to graduate students and
researchers whose work involves functional analysis and operator
theory.
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