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Harmonic Analysis and Applications
John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The invited chapters pay tribute to John’s many achievements and express an appreciation for both the mathematical and personal inspiration he has given to so many students, coauthors, and colleagues. Although the scope of the book is broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest.
Forest Inventory : Methodology and Applications
This book has been developed as a forest inventory textbook for students and can also serve as a handbook for practical foresters. The book is divided into four sections. The first section deals mostly with sampling issues. First, we present the basic sampling designs at a fairly non-technical mathematical level. In addition, we present some more advanced sampling issues often needed in forest inventory. Those include for instance problems with systematic sampling, and methods for sampling vegetation or rare populations. Forest inventory also includes issues that are unique to forestry, like problems in measuring sample plots in the field, or utilising sample tree measurements. These issues include highly sophisticated methodology, but we try to present these also such that forestry students can grasp the ideas behind them. Each method is presented with examples. For foresters who need more details, references are given to more advanced scientific papers and books in the fields of statistics and biometrics.
Abstract Harmonic Analysis of Continuous Wavelet Transforms
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.
