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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Modern Fourier Analysis (Hardcover, 3rd ed. 2014)
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Modern Fourier Analysis (Hardcover, 3rd ed. 2014)
Series: Graduate Texts in Mathematics, 250
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This text is aimed at graduate students in mathematics and to
interested researchers who wish to acquire an in depth
understanding of Euclidean Harmonic analysis. The text covers
modern topics and techniques in function spaces, atomic
decompositions, singular integrals of nonconvolution type and the
boundedness and convergence of Fourier series and integrals. The
exposition and style are designed to stimulate further study and
promote research. Historical information and references are
included at the end of each chapter. This third edition includes a
new chapter entitled "Multilinear Harmonic Analysis" which focuses
on topics related to multilinear operators and their applications.
Sections 1.1 and 1.2 are also new in this edition. Numerous
corrections have been made to the text from the previous editions
and several improvements have been incorporated, such as the
adoption of clear and elegant statements. A few more exercises have
been added with relevant hints when necessary.
General
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