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Introduction to Hilbert spaces with applications. 2nd ed. (English) Zbl 0940.46001
San Diego, CA: Academic Press. xx, 551 p. (1999).
Preface to the second edition: “The first edition of this book was published in 1990 (see Zbl 0715.46009). We have taken advantage of this new edition to update the bibliography and correct typographical errors, to include additional topics, examples, exercises, comments and observations, and, in some cases, to entirely rewrite whole sections. The most significant difference from the first edition is the inclusion of a completely new chapter on wavelets”.

MSC:
46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory
47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
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