Ultradistributions and quantum fields: Fourier-Laplace transforms and boundary values of analytic functions

DOI10.1016/0034-4877(79)90057-0zbMath0432.46043OpenAlexW1994291280MaRDI QIDQ1138766

Willi Thalheimer, Florian Constantinescu

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90057-0

zbMATH Keywords

Fourier-Laplace transformboundary values of analytic functionsstrictly localizable fieldsJaffe fieldspositive-definite ultradistributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Constructive quantum field theory (81T08) Distributions and ultradistributions as boundary values of analytic functions (46F20) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

Wavelet transform of multiplicators and convolutors for ultradistributions ⋮ Euclidean Green's functions for Jaffe fields ⋮ Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform ⋮ The continuous wavelet transform on ultradistribution spaces ⋮ Tempered Ultradistributions as Boundary Values of Analytic Functions

Cites Work

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• Euclidean Green's functions for Jaffe fields
• Axioms for Euclidean Green's functions. II
• Der Satz von Bochner-Schwartz für Ultradistributionen
• Hyperfunction quantum field theory II. Euclidean Green's functions
• Entire functions of the free field
• On the connection between analyticity and Lorentz covariance of Wightman functions
• Sur quelques extensions de la notion de distribution

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