[ { "id": "https://authors.library.caltech.edu/records/wp7td-ydk36", "eprint_id": 104569, "eprint_status": "archive", "datestamp": "2023-08-22 03:23:07", "lastmod": "2026-03-18 00:06:40", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Kurasov-P", "name": { "family": "Kurasov", "given": "Pavel" } }, { "id": "Laptev-A", "name": { "family": "Laptev", "given": "Ari" } }, { "id": "Naboko-S", "name": { "family": "Naboko", "given": "Sergey" } }, { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" }, "orcid": "0000-0003-2561-8539" } ] }, "title": "Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov", "ispublished": "unpub", "full_text_status": "restricted", "keywords": "spectral theory; Riemann; quantum theory; Boris Pavlov; self-adjoint dilations; dissipative operators; Schr\u00f6dinger", "note": "\u00a9 2020 Springer Nature Switzerland AG.", "abstract": "Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. \n\nThis volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: \"Spectral Theory and Applications\", held in Stockholm, Sweden, in March 2016, and \"Operator Theory, Analysis and Mathematical Physics \u2013 OTAMP2016\" held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.", "date": "2020", "date_type": "published", "publisher": "Springer", "place_of_pub": "Cham", "id_number": "CaltechAUTHORS:20200724-122702946", "isbn": "978-3-030-31530-6", "book_title": "Analysis as a Tool in Mathematical Physics", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20200724-122702946", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "Mathematics-Department" }, { "id": "Physics-Department" } ] }, "contributors": { "items": [ { "id": "Kurasov-P", "name": { "family": "Kurasov", "given": "Pavel" } }, { "id": "Laptev-A", "name": { "family": "Laptev", "given": "Ari" } }, { "id": "Naboko-S", "name": { "family": "Naboko", "given": "Sergey" } }, { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" } } ] }, "doi": "10.1007/978-3-030-31531-3", "pub_year": "2020", "author_list": "Kurasov, Pavel; Laptev, Ari; et al." }, { "id": "https://authors.library.caltech.edu/records/aneef-td709", "eprint_id": 104705, "eprint_status": "archive", "datestamp": "2023-08-22 00:30:48", "lastmod": "2026-03-18 18:05:41", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Essig-R", "name": { "family": "Essig", "given": "Rouven" } }, { "id": "Feng-Jonathan-L", "name": { "family": "Feng", "given": "Jonathan" }, "orcid": "0000-0002-7713-2138" }, { "id": "Zurek-K-M", "name": { "family": "Zurek", "given": "Kathryn" }, "orcid": "0000-0002-2629-337X" } ] }, "title": "Illuminating Dark Matter", "ispublished": "unpub", "full_text_status": "restricted", "keywords": "dark matter; cosmic structure; dark matter detection; dark matter research; weakly interacting particles; dark matter detector; Simons Symposium; dark matter properties", "note": "\u00a9 2019 Springer Nature Switzerland AG.", "abstract": "Based on a Simons Symposium held in 2018, the proceedings in this volume focus on the theoretical, numerical, and observational quest for dark matter in the universe. Present ground-based and satellite searches have so far severely constrained the long-proposed theoretical models for dark matter. Nevertheless, there is continuously growing astrophysical and cosmological evidence for its existence. \n\nTo address present and future developments in the field, novel ideas, theories, and approaches are called for. The symposium gathered together a new generation of experts pursuing innovative, more complex theories of dark matter than previously considered.This is being done hand in hand with experts in numerical astrophysical simulations and observational techniques\u2014all paramount for deciphering the nature of dark matter. \n\nThe proceedings volume provides coverage of the most advanced stage of understanding dark matter in various new frameworks. The collection will be useful for graduate students, postdocs, and investigators interested in cutting-edge research on one of the biggest mysteries of our universe.", "date": "2019", "date_type": "published", "publisher": "Springer", "place_of_pub": "Cham", "id_number": "CaltechAUTHORS:20200803-135312220", "isbn": "978-3-030-31592-4", "book_title": "Illuminating Dark Matter", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20200803-135312220", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "Physics-Department" } ] }, "contributors": { "items": [ { "id": "Essig-R", "name": { "family": "Essig", "given": "Rouven" } }, { "id": "Feng-Jonathan-L", "name": { "family": "Feng", "given": "Jonathan" } }, { "id": "Zurek-K-M", "name": { "family": "Zurek", "given": "Kathryn M." } } ] }, "doi": "10.1007/978-3-030-31593-1", "pub_year": "2019", "author_list": "Essig, Rouven; Feng, Jonathan; et al." }, { "id": "https://authors.library.caltech.edu/records/6ezw4-z0n28", "eprint_id": 88588, "eprint_status": "archive", "datestamp": "2023-08-19 14:06:19", "lastmod": "2026-03-18 00:01:05", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Holden-H", "name": { "family": "Holden", "given": "Helge" } }, { "id": "Gesztesy-F", "name": { "family": "Gesztesy", "given": "Fritz" } }, { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" }, "orcid": "0000-0003-2561-8539" }, { "id": "Teschl-G", "name": { "family": "Teschl", "given": "Gerald" } } ] }, "title": "Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday", "ispublished": "unpub", "full_text_status": "public", "note": "\u00a9 2013 American Mathematical Society.\n\n

Published - pspum087-endmatter.pdf

", "abstract": "[no abstract]", "date": "2013", "date_type": "published", "publisher": "American Mathematical Society", "place_of_pub": "Providence, RI", "id_number": "CaltechAUTHORS:20180806-091538693", "isbn": "978-0-8218-7574-2", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180806-091538693", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "Mathematics-Department" }, { "id": "Physics-Department" } ] }, "doi": "10.1090/pspum/087", "primary_object": { "basename": "pspum087-endmatter.pdf", "url": "https://authors.library.caltech.edu/records/6ezw4-z0n28/files/pspum087-endmatter.pdf" }, "pub_year": "2013", "author_list": "Holden, Helge; Gesztesy, Fritz; et al." }, { "id": "https://authors.library.caltech.edu/records/5ftfr-67n96", "eprint_id": 88638, "eprint_status": "archive", "datestamp": "2023-08-19 05:03:01", "lastmod": "2026-03-18 00:07:44", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" }, "orcid": "0000-0003-2561-8539" } ] }, "title": "Convexity: An Analytic Viewpoint", "ispublished": "unpub", "full_text_status": "public", "note": "\u00a9 2011 Cambridge University Press.", "abstract": "Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces; Loewner's theorem; extreme points of convex sets and related issues, including the Krein\u2013Milman theorem and Choquet theory; and a discussion of convexity and inequalities. The connections between disparate topics are clearly explained, giving the reader a thorough understanding of how convexity is useful as an analytic tool. A final chapter overviews the subject's history and explores further some of the themes mentioned earlier. This is an excellent resource for anyone interested in this central topic.", "date": "2011", "date_type": "published", "publisher": "Cambridge University Press", "place_of_pub": "Cambridge", "id_number": "CaltechAUTHORS:20180808-075325457", "isbn": "9781107007314", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180808-075325457", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "Mathematics-Department" }, { "id": "Physics-Department" } ] }, "contributors": { "items": [ { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" } } ] }, "doi": "10.1017/CBO9780511910135", "pub_year": "2011", "author_list": "Simon, Barry" }, { "id": "https://authors.library.caltech.edu/records/0na9q-jyf11", "eprint_id": 88649, "eprint_status": "archive", "datestamp": "2023-08-19 01:11:45", "lastmod": "2026-03-18 00:03:26", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" }, "orcid": "0000-0003-2561-8539" } ] }, "title": "Szeg\u0151's Theorem and Its Descendants: Spectral Theory for L^2 Perturbations of Orthogonal Polynomials", "ispublished": "unpub", "full_text_status": "public", "note": "\u00a9 2011 Princeton University Press.\n\n

Other - s9377.pdf

", "abstract": "This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from G\u00e1bor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for measures supported on a finite number of intervals on the real line. \n\nIn addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.", "date": "2010", "date_type": "published", "publisher": "Princeton University Press", "place_of_pub": "Princeton, NJ", "id_number": "CaltechAUTHORS:20180808-092107298", "isbn": "9780691147048", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180808-092107298", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "Mathematics-Department" }, { "id": "Physics-Department" } ] }, "contributors": { "items": [ { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" } } ] }, "primary_object": { "basename": "s9377.pdf", "url": "https://authors.library.caltech.edu/records/0na9q-jyf11/files/s9377.pdf" }, "pub_year": "2010", "author_list": "Simon, Barry" }, { "id": "https://authors.library.caltech.edu/records/0kr1g-b2143", "eprint_id": 103117, "eprint_status": "archive", "datestamp": "2023-08-22 11:28:26", "lastmod": "2026-03-18 00:05:13", "type": "book", "metadata_visibility": "show", "creators": { "items": [ { "name": { "family": "Truhlar", "given": "Donald G." } }, { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" }, "orcid": "0000-0003-2561-8539" } ] }, "title": "Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics", "ispublished": "unpub", "full_text_status": "restricted", "keywords": "Potential; Quantum mechanics; cluster; collision; particles; quantum system; scattering; scattering theory", "note": "\u00a9 1997 Springer-Verlag New York, Inc.", "abstract": "This IMA Volume in Mathematics and its Applications MULTIPARTICLE QUANTUM SCATTERING WITH APPLICATIONS TO NUCLEAR, ATOMIC AND MOLECULAR PHYSICS is based on the proceedings of a workshop with the same title, which was an integral part of the 1994-1995 IMA program on \"Waves and Scattering.\" We would like to thank Donald G. Truhlar and Barry Simon for their ex\u00ad cellent work as organizers of this meeting and as editors of the proceedings. We also take this opportunity to thank the National Science Foundation (NSF), the Army Research Office (ARO), and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The workshop on Multiparticle Quantum Scattering with Applications to Nuclear, Atomic, and Molecular Physics was held June 12-16, 1995 at the Institute for Mathematics and Its Applications in the University of Min\u00ad nesota Twin Cities campus as part of the 1994-95 Program on Waves and Scattering. There were about seventy participants including the plenary lecturers whose contributions are included in this volume. The workshop was preceded by a two-day tutorial featuring lectures by Donald J. Kouri and Gian Michele Graf, and we are pleased that both Professors Graf and Kouri were able to write up their tutorials as opening chapters of this volume.", "date": "1997", "date_type": "published", "publisher": "Springer", "place_of_pub": "New York, NY", "id_number": "CaltechAUTHORS:20200512-072314011", "isbn": "978-1-4612-7318-9", "book_title": "Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20200512-072314011", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "NSF" }, { "agency": "Army Research Office (ARO)" }, { "agency": "Office of Naval Research (ONR)" } ] }, "local_group": { "items": [ { "id": "Mathematics-Department" }, { "id": "Physics-Department" } ] }, "contributors": { "items": [ { "id": "Truhlar-D-G", "name": { "family": "Truhlar", "given": "Donald G." } }, { "id": "Simon-B", "name": { "family": "Simon", "given": "Barry" } } ] }, "doi": "10.1007/978-1-4612-1870-8", "pub_year": "1997", "author_list": "Truhlar, Donald G. and Simon, Barry" } ]