{"corpus_id":120804809,"paper_sha":"c9d0b0dd0c801f3030967ee844fc59fe4debbe60","doi":"10.1006/JFAN.2000.3569","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2040540035,"dblp_id":null,"acl_id":null,"title":"Symbolic functional calculus and N-body resolvent estimates","year":2000,"publication_date":"2000-06-01","venue":"","journal":{"name":"Journal of Functional Analysis","pages":"257-283","volume":"173"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics"],"reference_count":23,"citation_count":25,"influential_citation_count":0,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Abstract We construct a functional calculus for symbolic functions of “scattering pseudodifferential operators” on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gerard et al. (1994, “Commutator Algebra and Resolvent Estimates,” Advanced Studies in Pure Mathematics, Vol. 23, Math. Soc. Japan, Tokyo) to obtain N -body resolvent estimates. As an application, we construct the plane waves for an N -body, short range Schrodinger operator and obtain a scattering wavefront set estimate.","claims":[{"public_id":"cl_95a2b175c4aa8b963d72e13590353caf","status":"active","text":"A functional calculus for symbolic functions of scattering pseudodifferential operators on manifolds with boundary is constructed.","confidence":0.95,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_95a2b175c4aa8b963d72e13590353caf"},{"public_id":"cl_cf4773cc4addbd578ad6ba6ecc7b2a2b","status":"active","text":"A scattering wavefront set estimate is obtained for the N-body short range Schrödinger operator.","confidence":0.85,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_cf4773cc4addbd578ad6ba6ecc7b2a2b"},{"public_id":"cl_bd3d6df42b7da85a7760df2b26a7bc0f","status":"active","text":"Plane waves for an N-body, short range Schrödinger operator are constructed as an application.","confidence":0.85,"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_bd3d6df42b7da85a7760df2b26a7bc0f"},{"public_id":"cl_ba3393f070f0757119ff3aa543b0c954","status":"active","text":"The functional calculus is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gerard et al. 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