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JournalISSN: 0026-9255

Monatshefte für Mathematik 

Springer Science+Business Media
About: Monatshefte für Mathematik is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Mathematics & Bounded function. It has an ISSN identifier of 0026-9255. Over the lifetime, 5792 publications have been published receiving 61394 citations.


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889 citations

Journal ArticleDOI
TL;DR: Applications of the theory of (t, m, s)-nets to two methods for pseudorandom number generation, namely the digital multistep method and the GFSR method, are presented and several open problems, mostly of a combinatorial nature, are stated.
Abstract: A systematic theory of a class of point sets called (t, m, s)-nets and of a class of sequences called (t, s)-sequences is developed. On the basis of this theory, point sets and sequences in thes-dimensional unit cube with the smallest discrepancy that is currently known are constructed. Various connections with other areas arise in this work, e.g. with orthogonal latin squares, finite projective planes, finite fields, and algebraic coding theory. Applications of the theory of (t, m, s)-nets to two methods for pseudorandom number generation, namely the digital multistep method and the GFSR method, are presented. Several open problems, mostly of a combinatorial nature, are stated.

588 citations

Journal ArticleDOI
TL;DR: In this article, the theory of frames and non-orthogonal series expansions with respect to coherent states is extended to a general class of spaces, the so-called coorbit spaces.
Abstract: The theory of frames and non-orthogonal series expansions with respect to coherent states is extended to a general class of spaces, the so-called coorbit spaces. Special cases include wavelet expansions for the Besov-Triebel-Lizorkin spaces, Gabortype expansions for modulation spaces, and sampling theorems for wavelet and Gabor transforms.

558 citations

Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202358
2022177
2021161
2020131
2019120
2018124