TY  - CONF
A1  - Schmidt, Andreas U.
T1  - Euclidean reconstruction in quantum field theory: between tempered distributions and Fourier hyperfunctions
T2  - Talk at the 2nd Frankfurt-Krakow Operator Theory Seminar, Iagellonian University, Krakow, Poland, 7-11 April 1997
N2  - In this short note on my talk I want to point out the mathematical difficulties that arise in the study of the relation of Wightman and Euclidean quantum field theory, i.e., the relation between the hierarchies of Wightman and Schwinger functions. The two extreme cases where the reconstructed Wightman functions are either tempered distributions - the well-known Osterwalder-Schrader reconstruction - or modified Fourier hyperfunctions are discussed in some detail. Finally, some perpectives towards a classification of Euclidean reconstruction theorems are outlined and preliminary steps in that direction are presented.
Y1  - 2005
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/4352
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-11409
N1  - Version of 23 October 1997. Talk at the 2nd Frankfurt-Krakow Operator Theory Seminar, Iagellonian University, Krakow, Poland, 7-11 April 1997, Archive: math-ph/9811002
IS  - Version of 23 October 1997
ER  -