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math-ph2005★ 6 cited
Carrier cones of analytic functionals
M. A. Soloviev
We prove that every continuous linear functional on the space consisting of the entire analytic functions whose Fourier transforms belong to the Schwartz space $\mathcal…
math-ph2001
Lorentz-covariant ultradistributions, hyperfunctions, and analytic functionals
M. A. Soloviev
We generalize the theory of Lorentz-covariant distributions to broader classes of functionals including ultradistributions, hyperfunctions, and analytic functionals with a tempered…
math-ph2001
Wick Power Series in Indefinite Metric Field Theories
A. G. Smirnov, M. A. Soloviev
The analytic aspects of the operator realization of Wick power series of infrared singular free fields are considered. Taking advantage of the holomorphy properties of the two-poin…