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Asymptotic Condition and Infrared Divergences in Quantum
The Relptivistic Quantum Theory of Measurement
On Hilbert Structure of the Space of Functional Power
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annihilation operators assume asymptotic behaviour bilinear bounded coherent commutation relations complex numbers condition consider convergence corresponding creation and annihilation defined definition denote dense set density matrix dimensional double f.p.s. eigenstates elliptic operators energy equation equivalent example exists expectation values field operator field quantization finite Fock representation Fock space follows formal free field free theory given Hamiltonian harmonic oscillator Hilbert space Hilbert structure identity implies interaction interpretation interwining introduce invariance linear form linear operator linear space matrix elements measurement metric model function multiple norm number operators obtain orthonormal system parameter Poincare group polynomial positive power series problem projections properties quantization Quantum Field Theory region relativistic renormalization S-matrix satisfying scalar product Section self-adjoint operator self-dual space of f.p.s. square integrable symmetric tensorproducts test functions Theorem topology transformation ultralocal models unitary operator vacuum vector vQ(X Winter School Wroclaw zero