Results 41 to 50 of about 32,626 (182)

Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals.

Michigan Mathematical Journal, 1996
Fourier transforms with respect to the analytic Feynman integral and the related topics: convolution product and its Fourier transform, the inversion formula, Parseval's identity, are discussed for functionals involving multiple time integrals, e.g., of the form \[ F(x)=\exp [\int^T_0 \int^T_0f(s,t,x(s), x(t))ds dt]. \] Two situations are considered: a
Huffman, Timothy, Park, Chull, Skoug, David   +2 more
openaire   +3 more sources

MULTIPLE L_pANALYTIC 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

Position space equations for generic Feynman graphs

Physics Letters B
We 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

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, Antal Jevicki, Kenta Suzuki, Junggi Yoon   +3 more
doaj   +1 more source

Causal construction of the massless vertex diagram [PDF]

, 2006
The massless one-loop vertex diagram is constructed by exploiting the causal structure of the diagram in configuration space, which can be translated directly into dispersive relations in momentum space.Comment: 14 pages, LATEX with style file ...
A. Aste, A. Aste, A. Aste, A. Aste, A. Kizilersü, A.I. Davydychev, A.I. Davydychev, A.I. Davydychev, A.I. Davydychev, Andreas Aste, F. Constantinescu, G. ’t Hooft, H. Epstein, J.S. Ball, R.F. Streater   +14 more
core   +5 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, Hyun Soo Chung, Jae Gil Choi   +2 more
openaire   +1 more source

Ligand‐Mediated Surface Carrier Modulation in Perovskite Nanocrystals for Charge‐Symmetric LEDs

Advanced Materials, EarlyView.
A hydrolysis‐assisted ligand exchange strategy enables surface carrier modulation of perovskite nanocrystals using a multifunctional π‐conjugated ligand. This molecular surface design achieves charge balance and recombination‐zone symmetry in light‐emitting diodes (LEDs), which leads to high‐efficiency perovskite LEDs and establishes a general platform
Jongho Park, Jisu Ha, Daehwan Kim, Hyeon Woo Kim, Han Uk Lee, Boseung Je, Dodam Kim, Jun‐Su Yeo, Min Gyo Kim, Changsoon Cho, Sung Beom Cho, Tae‐Hee Han   +11 more
wiley   +1 more source

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