Results 41 to 50 of about 17,204 (266)

Abstract Lie groups and locally compact topological groups

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such groups very similar to the fundamentals of the infinite dimensional Lie theory.
Jacek Lech, Tomasz Rybicki
doaj  

Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis

Forum of Mathematics, Sigma
In this paper we solve a long-standing problem which goes back to Laurent Schwartz’s work on mean periodic functions. Namely, we completely characterize those locally compact Abelian groups having spectral synthesis. So far a characterization theorem was
László Székelyhidi
doaj   +1 more source

Locally compact topologies for groups [PDF]

Transactions of the American Mathematical Society, 1967
The investigations leading to this paper were suggested by the papers of Hewitt [3] and Ross [5]. In [3] Hewitt was interested in proving that if an abelian group is locally compact in two topologies, one strictly stronger than the other, there is a character continuous in one topology and discontinuous in the other (actually a special case of a ...
openaire   +2 more sources

Laser‐Induced Graphene from Waste Almond Shells

Advanced Functional Materials, EarlyView.
Almond shells, an abundant agricultural by‐product, are repurposed to create a fully bioderived almond shell/chitosan composite (ASC) degradable in soil. ASC is converted into laser‐induced graphene (LIG) by laser scribing and proposed as a substrate for transient electronics.
Yulia Steksova, Anna Chiara Bressi, Marina Galliani, Attilio Marino, Gianni Ciofani, Eduardo Machado‐Charry, Hilda Gomez Bernal, Alessandra Francini, Luca Sebastiani, Francesco Greco   +9 more
wiley   +1 more source

Bracket Products on Locally Compact Abelian Groups [PDF]

Journal of Sciences, Islamic Republic of Iran, 2008
We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G.
doaj  

Differentiable Cohomology on Locally Compact Groups [PDF]

Proceedings of the National Academy of Sciences, 1970
In this paper the notions of vector field and differential form are extended to locally compact groups which are the inverse limit of Lie groups. This is done using Bruhat's definition of [unk] c ∞ functions on such a group. Vector fields are defined as derivations on the [unk]
openaire   +3 more sources

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

RNA‐Micelles as Self‐Assembling Structures for Efficient Co‐Delivery of Synergistic siRNA and Nucleoside Analogues to Treat CRC Lung Metastasis

Advanced Functional Materials, EarlyView.
Two kinds of self‐assembled RNA micelles were used to co‐deliver synergistic siRNA and nucleoside analogues for the treatment of colorectal cancer lung metastases. Near‐complete elimination of lung cancer metastases was confirmed in an orthotopic lung metastasis model constructed using human colorectal cancer lung metastases patient surgical samples to
Kai Jin, Piotr Rychahou, Daniel W. Binzel, B. Mark Evers, Peixuan Guo   +4 more
wiley   +1 more source

A tensor product approach to the abstract partial fourier transforms over semi-direct product groups [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.
Ali akbar Arefijammal, Fahimeh Arabyani Neyshaburi   +1 more
doaj  

Locally conformally balanced metrics on almost abelian Lie algebras

Complex Manifolds, 2021
We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj   +1 more source