117,192 research outputs found
Sobolev exponents of Butterworth refinable functions
No full textAbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with the Butterworth filter of order n, bn(ξ)≔cos2n(ξ/2)cos2n(ξ/2)+sin2n(ξ/2), is shown to be s∞(φn)=nlog23+log2(1+3−n). This recovers the previously given asymptotic estimate of s∞(φn) of Fan and Sun, and gives more accurate regularity of Butterworth refinable function φn
Extensions of Bessel sequences to dual pairs of frames
No full textTight frames in Hilbert spaces have been studied intensively for the past years. In this paper we demonstrate that it often is an advantage to use pairs of dual frames rather than tight frames. We show that in any separable Hilbert space, any pairs of Bessel sequences can be extended to a pair of dual frames. If the given Bessel sequences are Gabor systems in L2(R), the extension can be chosen to have Gabor structure as well. We also show that if the generators of the given Gabor Bessel sequences are compactly supported, we can choose the generators of the added Gabor systems to be compactly supported as well. This is a significant improvement compared to the extension of a Bessel sequence to a tight frame, where the added generator only can be compactly supported in some special cases. We also analyze the wavelet case, and find sufficient conditions under which a pair of wavelet systems can be extended to a pair of dual frames. © 2012 Elsevier Inc. All rights reserved
Weaving information packets
No full textThe concept of weaving of frames for Hilbert spaces was introduced by Bemrose et al. in 2016. Two frames { f(k)}(kEI), {g(k)}(kEI) are woven if the "mixed system" {f(k)}(kE sigma) boolean OR {g(k)}(kEI\sigma) is a frame for each index set sigma subset of I; that is, processing a signal using two woven frames yields a certain stability against loss of information. The concept easily extends to N frames, for any integer N > 2. Unfortunately it is nontrivial to construct useful woven frames, and the literature is sparse concerning explicit constructions. In this paper we introduce so-called information packets, which contain as well frames as fusion frames as special case. The concept of woven frames immediately generalizes to information packets, and we demonstrate how to construct practically relevant woven information packets based on particular wavelet systems in L-2(R). Interestingly, we show that certain wavelet systems can be split into N woven information packets, for any integer N >= 2. We finally consider corresponding questions for Gabor system in L-2(R), and prove that for any fixed N E N we can find a Gabor frame that can be split into N woven information packets; however, in contrast to the wavelet case, the density conditions for Gabor system excludes the possibility of finding a single Gabor frame that works simultaneously for all NEN.
Editorial Annals of Regional Science
No full textThere is no tradition in Annals of Regional Science that the editors write editorials. However, as of 2020, the editors will each year write an editorial in which we report as well as reflect on recent developments of the journal. We hope that this will be of interest for our readers. This editorial is the first one and marks the start of the strategy to write a yearly editorial.We, i.e., Martin Andersson (Sweden), Hong Sok Kim (South Korea) and Janet Kohlhase (USA), are by some standards a rather new constellation of editors-in-chief (EICs). Janet Kohlhase became an editor in 2011, replacing professor Roger Stough.1 Martin Andersson joined as editor in 2014 and replaced professor Börje Johansson. Hong Sok (Brian) Kim became an editor in 2019 by replacing profes-sor Euijune Kim. The former EICs continue to be part of the journal in the capacity as members of the advisory board of former editors. We are all delighted to serve as EICs and are committed to maintain as well as to further develop the journal’s tradition of publishing high-quality and influential research that pushes the field of regional science forward.open access</p
Racial Equality and the Law: Creating an Effective Statute and Enforcement Model for Hong Kong
No full textThe Hong Kong government has commenced a public consultation exercise on a bill to prohibit racial discrimination, which is expected to be introduced in the Legislative Council in early 2005. The government has proposed to model the bill on the existing Sex Discrimination Ordinance (SDO) and the Disability Discrimination Ordinance (DDO). While there are advantages to adopting a familiar format, the author argues that the SDO and DDO can be improved upon, in particular, that a more flexible definition of indirect discrimination should be adopted and that special provisions be drafted to address discrimination against new immigrants from mainland China. The author takes the view that this is an opportune time to strengthen the enforcement model for all of Hong Kong's anti-discrimination laws. The author proposes that officers at the Equal Opportunities Commission (EOC) be empowered to take a more proactive approach and that a specialist equal opportunities tribunal should be established outside the auspices of the EOC.published_or_final_versio
The Failure of the Hong Kong Court of Appeal to Recognise and Remedy Disability Discrimination
No full textThis article critiques the recent decision of the Hong Kong Court of Appeal in Ma Bik Yung v Ko Chuen, the first case to be tried under Hong Kong's Disability Discrimination Ordinance. The Court of Appeal upheld the District Court's finding of disability harassment but granted the appeal from the finding of disability discrimination. The author argues that the Court erred, by introducing a hypothetical factual scenario that was inconsistent with the District Court's findings of fact and by failing to apply s3 of the Ordinance. The article also criticises the Court's holding that an 'unwilling' apology is outside the scope of remedies allowed by the Ordinance. In fact, similar statutory language is regularly used in Australia as the basis for orders to apologise. The author concludes by considering the potential conflict between the right to free expression and court-ordered apologies and suggests two possible approaches to the issue.published_or_final_versio
Mosses new to Hong Kong (1)
No full textTen moss species - Garkea flexuosa (Griffith) Marg. & Nork., Campylopus laxitextus Lac., Fissidens dubius P. Beauv., Fissidens ceylonensis Dozy & Molk, Fissidens maceratus Mitt., Philonotis thwaitesii Mitt., Isopterygium minutirameum (C. Muell.)Jaeg., Homalia trichomanoides (Hedw.) B.S.G., Pogonatum neesii (C. Muell.) Dozyand Polytrichum formosum Hedw. are reported new to Hong Kong. Among them, five are new to Guangdong Province of China
Ventojassa dentipalma Kim and Kim 1991
No full text50. Ventojassa dentipalma Kim and Kim, 1991 ḣṄėâũ꼬NầNjạäÑ (Fig. 12B) Material examined. 1 ind., Chuja Port, 27 August 2021. Distribution. Korea (Jejudo Island and east coast).Published as part of Kim, Kyung-Won, Zhang, Xin, Choi, Jae-Hong, Kim, Jun & Kim, So-Yeon Shin and Young-Hyo, 2023, Amphipods (Crustacea: Malacostraca) fauna from Chujado Island in Korea, pp. 1-26 in Journal of Species Research 12 (1) on page 10, DOI: 10.12651/JSR.2023.12.1.001, http://zenodo.org/record/812010
Paradexamine rotundogena Zhang, Kim and Kim 2022
No full text42. Paradexamine rotundogena Zhang, Kim and Kim, 2022 ǭȓģầḣṄäê꼬NầNjạ (Fig. 11B) Material examined. 5 inds., Mukri Port, 28 August 2021. Distribution. Korea (south coast).Published as part of Kim, Kyung-Won, Zhang, Xin, Choi, Jae-Hong, Kim, Jun & Kim, So-Yeon Shin and Young-Hyo, 2023, Amphipods (Crustacea: Malacostraca) fauna from Chujado Island in Korea, pp. 1-26 in Journal of Species Research 12 (1) on pages 9-10, DOI: 10.12651/JSR.2023.12.1.001, http://zenodo.org/record/812010
Paradexamine acuta Zhang, Kim and Kim 2022
No full text40. Paradexamine acuta Zhang, Kim and Kim, 2022 ȒĮầḣṄäê꼬NầNjạ (Fig. 10H) Material examined. 1 ind., Chuja Bridge, 27 August 2021. Distribution. Korea (Jejudo Island, west and south coasts).Published as part of Kim, Kyung-Won, Zhang, Xin, Choi, Jae-Hong, Kim, Jun & Kim, So-Yeon Shin and Young-Hyo, 2023, Amphipods (Crustacea: Malacostraca) fauna from Chujado Island in Korea, pp. 1-26 in Journal of Species Research 12 (1) on page 9, DOI: 10.12651/JSR.2023.12.1.001, http://zenodo.org/record/812010
- …
