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F [φ(t); x] = Z h(z) = Z We now obtain (5). Let C′ ⊂ C, m > 0, and z = x + iy ∈ T (C′, m).
For the given C′ ⊂ C and m > 0 choose b > 0 such that 0 < b < m,
[4] R. D. Carmichael and D. Mitrovi´c, Distributions and analytic functions, Longman Scientific and Technical, Harlow, 1989.
[5] R. E. Edwards, Functional analysis: theory and applications, Holt, Rinehart and Winston, New York, 1965.
[6] L. Schwartz, Th´eorie des distributions, Hermann, Paris, 1966.
[7] B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton University Press, Princeton, NJ, 1974.
[8] R. F. Streater and A. S. Wightman, PCT, spin and statistics, and all that, W. A. Benjamin, Inc., New York, 1964.
[9] V. S. Vladimirov, Methods of the theory of functions of many complex variables, M.I.T. Press, Cambridge, 1966.