منابع مشابه
Neutrix Calculus and Finite Quantum Field Theory
In general, quantum field theories (QFT) require regularizations and infinite renormalizations due to ultraviolet divergences in their loop calculations. Furthermore, perturbation series in theories like QED are not convergent series, but are asymptotic series. We apply neutrix calculus, developed in connection with asymptotic series and divergent integrals, to QFT, obtaining finite renormaliza...
متن کاملNeutrix Limit on Divergent Series
In this paper, we give a simple and straight forward definition for the neutrix limit of divergent series and use it to study the neutrix limits of the divergent series ralated to the Rieman-Zeta function ζ(α) and some series related to the polylogarith function Lin(z). Then, we apply the reults to some specific examles. Our reults on Riemann-Zeta function and its derivatives are consistent wit...
متن کاملCommutative neutrix convolution products of functions
The commutative neutrix convolution product of the functions xe − and xe μx + is evaluated for r, s = 0, 1, 2, . . . and all λ, μ. Further commutative neutrix convolution products are then deduced.
متن کاملOn the Noncommutative Neutrix Product of Distributions
Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging to the Dirac-delta function δ(x). The noncommutative neutrix product f ◦ g of f and g is defined to be the neutrix limit of the sequence { f gn}, provided the limit h exists in the sense that N-limn→∞〈 f (x)gn(x),φ(x)〉 = 〈h(x),φ(x)〉, for all test functions in . In this paper, using the concept of...
متن کاملPhakomatosis pigmentovascularis type IIa
Phakomatosis Pigmentovascularis (PPV) is a rare cutaneous congenital malformation syndrome, defined as simultaneous occurrence of congenital cutaneous vascular and pigmentary anomalies. As most of the reported cases are from Far East countries, especially Japan, we reported a case of PPV type IIa in an Iranian patient. This case was unusual because of the coexistence of unilateral extensive por...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1961
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(61)50001-7