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Geometry and physic...
Geometry and physics of pseudodifferential operators on manifolds
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- Napolitano, George (författare)
- Lund University,Lunds universitet,Matematisk statistik,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematical Statistics,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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Esposito, Giampiero (författare)
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(creator_code:org_t)
- 2016
- 2016
- Engelska.
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Ingår i: Il Nuovo Cimento C: colloquia and communications in physics. - 2037-4909. ; 38:5
- Relaterad länk:
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http://dx.doi.org/10... (free)
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- A review is made of the basic tools used in mathematics to define acalculus for pseudodifferential operators on Riemannian manifolds endowed with aconnection: existence theorem for the function that generalizes the phase; analogueof Taylor’s theorem; torsion and curvature terms in the symbolic calculus; the twokinds of derivative acting on smooth sections of the cotangent bundle of the Riemannianmanifold; the concept of symbol as an equivalence class. Physical motivationsand applications are then outlined, with emphasis on Green functions of quantumfield theory and Parker’s evaluation of Hawking radiation.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Partial differential equations
- Fourier analysis
- Global analysis and analysis on manifolds
- Theory of quantized fields
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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