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Fourier series and integrals

Harry Dym, +1 more
TLDR
Fourier Integrals, Fourier Series, and Integrals on Groups: A Historical Introduction.
Abstract: 
Historical Introduction. Fourier Series. Fourier Integrals. Fourier Integrals and Complex Function Theory. Fourier Series and Integrals on Groups. Additional Reading. Bibliography.

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Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks

Kurt Hornik, +2 more
- 01 Oct 1990 - 
TL;DR: A shoulder strap retainer having a base to be positioned on the exterior shoulder portion of a garment with securing means attached to the undersurface of the base for removably securing the base to the exterior shoulders portion of the garment.
Book

Observation and Control for Operator Semigroups

Marius Tucsnak, +1 more
TL;DR: The main topics of interest about observation and control operators are admissibility, observability, controllability, stabilizability and detectability as discussed by the authors, which is a mature area of functional analysis, which is still very active.
Journal ArticleDOI

Uncertainty principles and signal recovery

David L. Donoho, +1 more
- 01 Jun 1989 - 
TL;DR: In this article, the uncertainty principle can be generalized to cases where the sets of concentration are not intervals, and generalizations explain interesting phenomena in signal recovery problems where there is an interplay of missing data, sparsity, and bandlimiting.
Journal ArticleDOI

The Uncertainty Principle: A Mathematical Survey

Gerald B. Folland, +1 more
- 01 May 1997 - 
TL;DR: The authors survey various mathematical aspects of the uncertainty principle, including Heisenberg inequality and its variants, local uncertainty inequalities, logarithmic uncertainty inequalities and results relating to Wigner distributions, qualitative uncertainty principles, theorems on approximate concentration, and decompositions of phase space.
Book

A First Course in Modular Forms

Fred Diamond, +1 more
TL;DR: Modular forms, elliptic curves, and modular curves as Riemann surfaces have been used to define the Eichler-Shimura Relation and L-functions.