Abstract harmonic analysis of continuous wavelet transforms

Resource Information

The work Abstract harmonic analysis of continuous wavelet transforms represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Abstract harmonic analysis of continuous wavelet transforms

Statement of responsibility

Fuehr, Hartmut

Creator

• Führ, Hartmut

Subject

• Analyse harmonique
• Civil & Environmental Engineering
• Engineering & Applied Sciences
• Formule de Plancherel
• Harmonic analysis
• Harmonic analysis
• Harmonic analysis
• Harmonische analyse
• Mathematical Theory
• Mathematics
• Ondelette (Mathématiques)
• Ondelettes
• Operations Research
• Physical Sciences & Mathematics
• Représentation de groupes
• Wavelets
• Wavelets (Mathematics)
• Wavelets (Mathematics)
• Wavelets (Mathematics)
• Analyse harmonique

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1863

Cataloging source

COO

Dewey number

• 510 s
• 515/.2433

Index

index present

LC call number

• QA3
• QA403.3

LC item number

.L28 no. 1863

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics

Series volume

1863