Éditeur(s) : HAL CCSD
Résumé : International audience
Cumulative human impacts have led to the degradation of marine ecosystems and thedecline of biodiversity in the European and contiguous seas. Effective conservationmeasures are urgently needed to reverse these trends. Conservation must entail societalchoices, underpinned by human values and worldviews that differ between the countriesbordering these seas. Social, economic and political heterogeneity adds to the challenge ofbalancing conservation with sustainable use of the seas. Comprehensive macro-regionalcoordination is needed to ensure effective conservation of marine ecosystems andbiodiversity of this region. Under the European Union Horizon 2020 framework programme,the MarCons COST action aims to promote collaborative research to support marinemanagement, conservation planning and policy development. This will be achieved bydeveloping novel methods and tools to close knowledge gaps and advance marineconservation science. This action will provide support for the development of macro-regional and national policies through six key actions: to develop tools to analysecumulative human impacts; to identify critical scientific and technical gaps in conservationefforts; to improve the resilience of the marine environment to global change and biologicalinvasions; to develop frameworks for integrated conservation planning across terrestrial,freshwater, and marine environments; to coordinate marine conservation policy acrossnational boundaries; and to identify effective governance approaches for marine protectedarea management. Achieving the objectives of these actions will facilitate the integration ofmarine conservation policy into macro-regional maritime spatial planning agendas for theEuropean and contiguous seas, thereby offsetting the loss of biodiversity and ecosystemservices in this region.
Research Ideas and Outcomes

hal-01474085
https://hal-univ-perp.archives-ouvertes.fr/hal-01474085
https://hal-univ-perp.archives-ouvertes.fr/hal-01474085/document
https://hal-univ-perp.archives-ouvertes.fr/hal-01474085/file/RIO_article_11884.pdf
DOI : 10.3897/rio.3.e11884

Éditeur(s) : HAL CCSD
Résumé : International audience
Generalized functions 2004
Novi Sad, Serbia

hal-01535462
https://hal.univ-antilles.fr/hal-01535462

Éditeur(s) : HAL CCSD Cambridge University Press (CUP)
Résumé : International audience
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough functions (smooth, ultradifferentiable or quasianalytic), embedded into corresponding algebras, is the ordinary multiplication.
ISSN: 0305-0041

hal-00758568
https://hal.univ-antilles.fr/hal-00758568
https://hal.univ-antilles.fr/hal-00758568/document
https://hal.univ-antilles.fr/hal-00758568/file/DHPV2-9sep03-singlespaced.pdf
DOI : 10.1017/S0305004104007923

Éditeur(s) : HAL CCSD American Mathematical Society
Résumé : International audience
A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriate ultra( pseudo)metrics defined by sequences of exponential weights. Such an algebra with embedded Dirac's delta distribution induces discrete topology on the basic space. This result is in analogy to Schwartz' impossibility result concerning multiplication of distributions.
ISSN: 0002-9939

hal-00758571
https://hal.univ-antilles.fr/hal-00758571
https://hal.univ-antilles.fr/hal-00758571/document
https://hal.univ-antilles.fr/hal-00758571/file/0206039v1.pdf

Éditeur(s) : HAL CCSD International Publishing Service/IPS
Résumé : International audience
We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding algebras of generalized functions.
ISSN: 0012-3862

hal-00758044
https://hal.univ-antilles.fr/hal-00758044
https://hal.univ-antilles.fr/hal-00758044/document
https://hal.univ-antilles.fr/hal-00758044/file/DHPV-26oct-8nov06.pdf
DOI : 10.4064/dm447-0-1

Éditeur(s) : HAL CCSD
Résumé : International audience
Starting from a description of various generalized function algebras based on sequence spaces, we develop the general framework for considering linear problems with singular coefficients or non linear problems. Therefore, we prove functorial properties of those algebras and show how weak equalities, in the sense of various associations, can be described in this setting.
International Journal of Mathematics and Mathematical Sciencess

hal-00761083
https://hal.univ-antilles.fr/hal-00761083
https://hal.univ-antilles.fr/hal-00761083/document
https://hal.univ-antilles.fr/hal-00761083/file/0210249v1.pdf