Properties of the Pushforward Map on Test Functions, Measures and Distributions
Författare
Summary, in English
This thesis has two main aims: The first of these is to give a clear exposition of the properties of the pushforward map associated with a smooth map between open subsets of Euclidean space. The second aim is to investigate the connection between the pushforward by a function f and the asymptotic behavior at infinity of oscillatory integrals with f as phase function. Particular attention will be paid to Palamodov's conjecture (in the category of smooth functions), to which we give some partial answers.
Avdelning/ar
- Matematik LTH
- Partial differential equations
Publiceringsår
2002
Språk
Engelska
Publikation/Tidskrift/Serie
Doctoral Theses in Mathematical Sciences
Volym
2001:7
Dokumenttyp
Doktorsavhandling
Förlag
Niels Chr. Overgaard, Centre of Mathematical Sciences, Dept. of Mathematics,
Ämne
- Mathematics
Nyckelord
- Matematik
- Mathematics
- wavefront sets.
- oscillatory integrals
- Bernstein-Sato polynomials
- Palamodov's conjecture
- image directe
- Pushforward map
- pullback map
- Mathematical logic
- set theory
- combinatories
- Matematisk logik
- mängdlära
- kombinatorik
Status
Published
Forskningsgrupp
- Partial differential equations
Handledare
- [unknown] [unknown]
ISBN/ISSN/Övrigt
- ISSN: 1404-0034
- ISBN: 91-628-5013-X
- ISRN: LUTFMA-1013-2001
Försvarsdatum
26 april 2002
Försvarstid
13:15
Försvarsplats
MH:C
Opponent
- Jan-Erik Björk