9 citations · 32 across the 10 of their papers we have counts for
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math-ph2007★ 3 cited
Mathematical problems on generalized functions and the canonical Hamiltonian formalism
J. F. Colombeau
This text is addressed to mathematicians who are interested in generalized functions and unbounded operators on a Hilbert space. We expose in detail (in a "formal way" - as done by…
math-ph2007★ 4 cited
Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory
Jean-Francois Colombeau, Andre Gsponer, Bernard Perrot
In 1929 Heisenberg and Pauli laid the foundations of QFT by quantizing the fields (method of canonical quantization). This general theory of quantized fields has remained undispute…
math-ph2007★ 6 cited
Nonlinear generalized functions and nonlinear numerical simulations in fluid and solid continuum mechanics
J. F. Colombeau
We present numerical techniques based on generalized functions adapted to nonlinear calculations. They concern main numerical engineering problems ruled by-or issued from-nonlinear…