Infinite dimensional oscillatory integrals with a polynomially growing phase function with a small parameter ε are studied by means of an analytic continuation technique, as well as their asymptotic expansion in the limit ε ↓ o. The results are applied to the study of the semiclassical behaviour of the trace of the heat semigroup with a polynomial potential.
Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup / Albeverio, Sergio; Mazzucchi, Sonia. - ELETTRONICO. - (2008), pp. 1-28.
Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup
Albeverio, SergioPrimo
;Mazzucchi, SoniaUltimo
2008-01-01
Abstract
Infinite dimensional oscillatory integrals with a polynomially growing phase function with a small parameter ε are studied by means of an analytic continuation technique, as well as their asymptotic expansion in the limit ε ↓ o. The results are applied to the study of the semiclassical behaviour of the trace of the heat semigroup with a polynomial potential.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
UTM721.pdf
accesso aperto
Descrizione: versione originale del PDF
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
18.44 MB
Formato
Adobe PDF
|
18.44 MB | Adobe PDF | Visualizza/Apri |
|
UTM721_143dpi_74%.pdf
accesso aperto
Descrizione: versione compressa del PDF
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
612.99 kB
Formato
Adobe PDF
|
612.99 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
