Fourier Series: A Modern Introduction Volume 2

Description

appear in Volume 1, a Roman numeral "I" has been prefixed as a reminder to the reader; thus, for example, "I,B.2.1 " refers to Appendix B.2.1 in Volume 1. An understanding of the main topics discussed in this book does not, I hope, hinge upon repeated consultation of the items listed in the bibli­ ography. Readers with a limited aim should find strictly necessary only an occasional reference to a few of the book listed. The remaining items, and especially the numerous research papers mentioned, are listed as an aid to those readers who wish to pursue the subject beyond the limits reached in this book; such readers must be prepared to make the very considerable effort called for in making an acquaintance with current research literature. A few of the research papers listed cover devel­ opments that came to my notice too late for mention in the main text. For this reason, any attempted summary in the main text of the current standing of a research problem should be supplemented by an examin­ ation of the bibliography and by scrutiny of the usual review literature. Front Matter....Pages i-xi Spans of Translates. Closed Ideals. Closed Subalgebras. Banach Algebras....Pages 1-47 Distributions and Measures....Pages 48-139 Interpolation Theorems....Pages 140-204 Changing Signs of Fourier Coefficients....Pages 205-233 Lacunary Fourier Series....Pages 234-276 Multipliers....Pages 277-332 Back Matter....Pages 333-372