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On the Inverse to t...
On the Inverse to the Harmonic Oscillator
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- Cappiello, Marco (författare)
- Univ Turin, Italy
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- Rodino, Luigi (författare)
- Univ Turin, Italy
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- Toft, Joachim (författare)
- Linnéuniversitetet,Institutionen för matematik (MA)
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(creator_code:org_t)
- 2015-03-11
- 2015
- Engelska.
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Ingår i: Communications in Partial Differential Equations. - : Informa UK Limited. - 0360-5302 .- 1532-4133. ; 40:6, s. 1096-1118
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Abstract
Ämnesord
Stäng
- Let b ( d ) be the Weyl symbol of the inverse to the harmonic oscillator on R- d . We prove that b ( d ) and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov type, and obtain explicit expressions for b ( d ). In the even-dimensional case we characterize b ( d ) in terms of elementary functions. In the analysis we use properties of radial symmetry and a combination of different techniques involving classical a priori estimates, commutator identities, power series and asymptotic expansions.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- 46F05
- 35S05
- Secondary 33C10
- Primary 35Q40
- 30Gxx
- Ultradistributions
- Harmonic oscillator
- Gelfand-Shilov estimates
- Inverse
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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