LEADER 04124nam 2200577 450 001 996466474003316 005 20220819112723.0 010 $a3-540-46659-2 024 7 $a10.1007/BFb0092305 035 $a(CKB)1000000000437103 035 $a(SSID)ssj0000326479 035 $a(PQKBManifestationID)12124663 035 $a(PQKBTitleCode)TC0000326479 035 $a(PQKBWorkID)10296580 035 $a(PQKB)10504600 035 $a(DE-He213)978-3-540-46659-8 035 $a(MiAaPQ)EBC5596483 035 $a(Au-PeEL)EBL5596483 035 $a(OCoLC)1076235436 035 $a(MiAaPQ)EBC6812383 035 $a(Au-PeEL)EBL6812383 035 $a(OCoLC)1287130174 035 $a(PPN)15520792X 035 $a(EXLCZ)991000000000437103 100 $a20220819d1992 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Selberg-Arthur trace formula $ebased on lectures by James Arthur /$fSalahoddin Shokranian 205 $a1st ed. 1992. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d1992. 215 $a1 online resource (IX, 99 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1503 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-55021-6 327 $aContents: Number Theory and Automorphic Representations: Some problems in classical number theory. Modular forms and automorphic representations -- Selberg's Trace Formula: Historical Remarks. Orbital integrals and Selberg's trace formula. Three examples. A necessary condition. Generalizations and applications -- Kernel Functions and the Convergence Theorem: Preliminaries on GL(r). Combinatorics and reduction theory. The convergence theorem -- The Adélic Theory: Basic facts -- The Geometric Theory: The JTO(f) and JT(f) distributions. A geometric I-function. The weight functions -- The Geometric Expansion of the Trace Formula: Weighted orbital integrals. The unipotent distribution -- The Spectral Theory: A review of the Eisenstein series. Cusp forms, truncation, the trace formula -- The Invariant Trace Formula and Its Applications: The in- variant trace formula for GL(r). Applications and remarks -- Bibliography -- Subject Index. 330 $aThis book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students in automorphic forms, analytic number theory, and non-commutative harmonic analysis, as well as researchers in these fields. Contents: I. Number Theory and Automorphic Representations.1.1. Some problems in classical number theory, 1.2. Modular forms and automorphic representations; II. Selberg's Trace Formula 2.1. Historical Remarks, 2.2. Orbital integrals and Selberg's trace formula, 2.3.Three examples, 2.4. A necessary condition, 2.5. Generalizations and applications; III. Kernel Functions and the Convergence Theorem, 3.1. Preliminaries on GL(r), 3.2. Combinatorics and reduction theory, 3.3. The convergence theorem; IV. The Ad lic Theory, 4.1. Basic facts; V. The Geometric Theory, 5.1. The JTO(f) and JT(f) distributions, 5.2. A geometric I-function, 5.3. The weight functions; VI. The Geometric Expansionof the Trace Formula, 6.1. Weighted orbital integrals, 6.2. The unipotent distribution; VII. The Spectral Theory, 7.1. A review of the Eisenstein series, 7.2. Cusp forms, truncation, the trace formula; VIII.The Invariant Trace Formula and its Applications, 8.1. The invariant trace formula for GL(r), 8.2. Applications and remarks. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1503. 606 $aSelberg trace formula 615 0$aSelberg trace formula. 676 $a512.7 700 $aShokranian$b Salahoddin$f1948-$059550 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466474003316 996 $aThe Selberg-Arthur Trace Formula$92860428 997 $aUNISA LEADER 04841nam 22007095 450 001 9910735588703321 005 20251008140635.0 010 $a3-030-88221-7 024 7 $a10.1007/978-3-030-88221-1 035 $a(MiAaPQ)EBC6978257 035 $a(CKB)27895641700041 035 $a(Au-PeEL)EBL6978257 035 $a(DE-He213)978-3-030-88221-1 035 $a(PPN)272254576 035 $a(OCoLC)1393309760 035 $a(ODN)ODN0010041943 035 $a(EXLCZ)9927895641700041 100 $a20230731d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Digital Playbook $eA Practitioner?s Guide to Smart, Connected Products and Solutions with AIoT /$fedited by Dirk Slama, Tanja Rückert, Sebastian Thrun, Ulrich Homann, Heiner Lasi 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (413 pages) 311 08$a9783030882204 327 $a1. AIoT 101 -- 2. Artificial Intelligence 101 -- 3. Data 101 -- 4. Digital Twin 101 -- 5. Internet of Things 101 -- 6. Hardware 101 -- 7. Digital OEM -- 8. Digital Equipment Operator -- 9. Platforms -- 10. Hybrid Models -- 11. Scalability -- 12. Business Model Design -- 13. Product/Solution Design -- 14. Co-Creation and Sourcing Intro -- 15. Rollout and Go-to-Market -- 16. Operations -- 17. Organization -- 18. Development Life-cycle Perspective -- 19.AIoT Design -- 20. AIoT Pipelines -- 21. AIoT Pipelines & Feature-driven Development -- 22. Holistic AIoT DevOps -- 23. Managing Different Speeds of Development -- 24. AIoT.exe -- 25. AIoT Product/Solution Design -- 26. Agile AIoT -- 27. Holistic AIoT DevOps -- 28. Trust & Security -- 29. Reliability & Resilience -- 30. Quality Management -- 31. AIoT in a Global, High-volume Manufacturing Network -- 32. Drone-based facade inspection -- 33. Predictive Maintenance for Hydraulic Components -- 34. BaseABC: Addressing the AIoT Long Tail in I4.0 -- Appendix. 330 $aThis open access book is a practitioner`s guide to smart, connected products and solutions. As a hands-on playbook, it combines the business and technical execution perspectives to help product companies, OEMs, manufacturers and equipment operators utilize the full potential of digital enablers, especially Artificial Intelligence (AI), Internet of Things (IoT) and Digital Twins. The Digital Playbook provides comprehensive and actionable guidance, helping to address the challenges of creating sustainable and scalable digital business models, managing cocreation and sourcing, setting up the digital organization, and handling the legal aspects. For the technical execution perspective, the playbook includes the AIoT Framework, which explains how to combine data science and AI engineering with Digital Twins, as well as software development for cloud and edge. The integration with physical product development and retrofit integration of existing equipment is included as well. A pragmatic, agile approach is introduced that takes common agile inhibitors into consideration. A holistic AIoT DevOps approach is described, which combines key elements of DevOps for cloud, edge and AI. Enterprise readiness is ensured by looking at trust and security as well as reliability and resilience for AIoT. A large number of real-world examples and case studies help ensure practical relevance. ?The Digital Playbook builds bridges between business and technology. This hard-won advice can help bring smart, connected products and solutions to market faster and with reduced project risks.? --Dr. Stefan Hartung, CEO, Bosch Sponsored by: . 606 $aArtificial intelligence 606 $aInternet of things 606 $aCloud computing 606 $aIndustrial engineering 606 $aAutomation 606 $aArtificial Intelligence 606 $aInternet of Things 606 $aCloud Computing 606 $aIndustrial Automation 615 0$aArtificial intelligence. 615 0$aInternet of things. 615 0$aCloud computing. 615 0$aIndustrial engineering. 615 0$aAutomation. 615 14$aArtificial Intelligence. 615 24$aInternet of Things. 615 24$aCloud Computing. 615 24$aIndustrial Automation. 676 $a006.3 686 $aCOM000000$aCOM004000$aTEC007000$aTEC037000$2bisacsh 700 $aSlama$b Dirk$01379372 701 $aRu?ckert$b Tanja$00 701 $aThrun$b Sebastian$0321788 701 $aHomann$b Ulrich$01379374 701 $aLasi$b Heiner$01379375 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910735588703321 996 $aThe Digital Playbook$93562072 997 $aUNINA