Results 41 to 50 of about 32,582 (169)
MULTIPLE LpANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON THE BANACH ALGEBRA [PDF]
Communications of the Korean Mathematical Society, 2004 Summary: We use a generalized Brownian motion process to define a generalized Feynman integral and a generalized Fourier-Feynman transform. We also define the concepts of the multiple \(L_p\) analytic generalized Fourier-Feynman transform and the generalized convolution product of functionals on function space \(C_{a,b}[0,T]\).
Chang, Seung Jun, Choi, Jae Gil
openaire +2 more sources
Response functions in multicomponent Luttinger liquids
, 2012 We derive an analytic expression for the zero temperature Fourier transform of the density-density correlation function of a multicomponent Luttinger liquid with different velocities.
Citro, R., Orignac, E.
core +3 more sources
Position space equations for generic Feynman graphs
Physics Letters BWe propose an extension of the position space approach to Feynman integrals from the banana family to generic Feynman diagrams. Our approach is based on omitting integration in position space and then writing differential equations for the products of ...
V. Mishnyakov, A. Morozov, M. Reva
doaj +1 more source
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II
International Journal of Mathematics and Mathematical Sciences, 2001 We show that for certain bounded cylinder functions of the form F(x)=μˆ((h1,x)∼,...,(hn,x)∼), x∈B where μˆ:ℝn→ℂ is the Fourier-transform of the complex-valued Borel measure μ on ℬ(ℝn), the Borel σ-algebra of ℝn with ‖μ‖
Young Sik Kim
doaj +1 more source
Dispersive calculation of the massless multi-loop sunrise diagram [PDF]
, 2006 The massless sunrise diagram with an arbitrary number of loops is calculated in a simple but formal manner. The result is then verified by rigorous mathematical treatment. Pitfalls in the calculation with distributions are highlighted and explained.
A. Aste +25 more
core +2 more sources
AdS maps and diagrams of bi-local holography
Journal of High Energy Physics, 2019 We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality.
Robert de Mello Koch +3 more
doaj +1 more source
, 1996 A careful analysis of differential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme.
Schnetz, Oliver
core +4 more sources
Shifting for the Fourier–Feynman Transform on Wiener Space
Banach Journal of Mathematical Analysis, 2017 In this paper we survey results on the shifting for the Fourier–Feynman transform. In particular we introduce some results on the shifting, scaling and modulation proprerties for Fourier–Feynman transform of functionals in a Banach algebra \(\mathcal{S}\).
Seung Jun Chang, Jae Gil Choi
openaire +4 more sources
Generalized Fourier–Feynman transforms and generalized convolution products on Wiener space
Indagationes Mathematicae, 2017 The authors summarize the contents of this paper in the abstract of the paper as follows: In this paper we define a more general convolution product of functionals on Wiener space and develop the fundamental relationships between the generalized Fourier-Feynman transform and the convolution product. Editor's remark.
Seung Jun Chang +2 more
openaire +1 more source
Advanced Science, EarlyView.The first TrFE‐free ferroelectric polymers exhibiting concurrently a morphotropic phase boundary and high Curie temperature are reported through a grafting strategy, which is completely different from previous methods to design MPB by composition and irradiation. This finding offers a cost‐effective solution to decode the long‐standing inverse relation
Zekai Fei +6 more
wiley +1 more source