Shifting and Variational Properties for Fourier-Feynman Transform and Convolution [PDF]
Shifting, scaling, modulation, and variational properties for Fourier-Feynman transform of functionals in a Banach algebra S are given. Cameron and Storvick's translation theorem can be obtained as a corollary of our result.
Byoung Soo Kim
doaj +3 more sources
Conditional Fourier-Feynman Transforms with Drift on a Function Space
In this paper we derive change of scale formulas for conditional analytic Fourier-Feynman transforms and conditional convolution products of the functions which are the products of generalized cylinder functions and the functions in a Banach algebra ...
Dong Hyun Cho, Suk Bong Park
doaj +2 more sources
Atomic-Scale Insights Into Antisite-Defect-Induced Metallicity in Halide Perovskites. [PDF]
Using an aberration‐corrected scanning transmission electron microscope, we identify that the PbCs antisite defect in CsPbBr3 shortens the Pb─Pb bond by ∼20 pm, and induces local strain and polarization, leading to a semiconductor‐to‐metal transition.
Yin S +7 more
europepmc +2 more sources
Biosynthesis of Silver Nanoparticles Using Black Pepper (Piper nigrum) Seed Extract and Evaluation of Their Cytotoxicity. [PDF]
This study reports the green biosynthesis of piperine‐functionalized silver nanoparticles from Piper nigrum seed extract, followed by comprehensive physicochemical characterization and in vitro cytotoxic evaluation. The results confirm successful nanocomposite formation and demonstrate a marked enhancement of cytotoxic activity against gastric cancer ...
Maciel NF +17 more
europepmc +2 more sources
${\rm MnBr}_2$ on the Graphene on Ir(110) Substrate: Growth, Structure, and Super-Moiré. [PDF]
The study realizes single‐layer MnBr2${\rm MnBr}_2$ via molecular beam epitaxy on graphene on Ir(110), unveiling a unique super‐moiré (“moiré of moirés”) formed by lattices of different symmetries. Remarkably, this super‐moiré is driven by a virtual interaction between non‐contacting layers.
Safeer A +5 more
europepmc +2 more sources
Fourier-Feynman transforms of unbounded functionals on abstract Wiener space
Abstract Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class $$ \mathcal{F}_{\mathcal{A}_1 ,\mathcal{A}_2 } $$
Kim Byoung, Yoo Il, Cho Dong
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A Series Approximation for the Analytic Fourier–Feynman Transform on Wiener Space
In this paper, we first establish an evaluation formula to calculate Wiener integrals of functionals on Wiener space. We then apply our evaluation formula to carry out easy an calculation for the analytic Fourier–Feynman transform of the functionals ...
Hyun Soo Chung
doaj +2 more sources
A Composition Formula for the Modified Analytic Function Space Fourier–Feynman Transform
Composition formula is one of the most important research topics in functional analysis theory. Various relationships can be obtained using the composition formula.
Hyun Soo Chung
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Analytic Fourier-Feynman Transforms and Convolution [PDF]
In this paper we develop an L p {L_p} Fourier-Feynman theory for a class of functionals on Wiener space of the form F ( x ) = f ( ∫ 0 T α 1
Huffman, Timothy +2 more
openaire +1 more source
Flow-oriented perturbation theory
We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs).
Michael Borinsky +3 more
doaj +1 more source

