Results 51 to 60 of about 1,696,719 (268)

Growth and integrability of Fourier transforms on Euclidean space [PDF]

arXiv, 2013
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the growth and/or integrability of their Fourier transform. By using a suitable class of $L^{p}-$multipliers, a rather general inequality controlling the size of Fourier transforms for large and small argument is proved. As consequences, quantitative Riemann-
arxiv  

Mechanically Adaptable High‐Performance p(SBMA‐MMA) Copolymer Hydrogel with Iron (II/III) Perchlorate for Wearable Thermocell Applications

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
A high‐performance n‐type element for quasi‐solid‐state thermocells has been introduced, outperforming conventional p‐type elements and showcasing the potential to harness body heat as an energy source or power embedded sensors. This advance significantly contributes to waste thermal energy harvesting and wearable technology, paving the way for self ...
Gilyong Shin, Jae Yoon Baek, Ju Hyeon Kim, Ju Hwan Lee, Hyeong Jun Kim, Byeong Jun So, Yuseung Choi, Sungryul Yun, Taewoo Kim, Jei Gyeong Jeon, Tae June Kang   +10 more
wiley   +1 more source

Analysis of Fourier transform valuation formulas and applications

, 2009
The aim of this article is to provide a systematic analysis of the conditions such that Fourier transform valuation formulas are valid in a general framework; i.e.
Antonis Papapantoleon, Bochner S., Breiman L., Carr P., Deitmar A., Dempster M. A. H., Doetsch G., Eberlein E., Eberlein E., Eberlein E., Eberlein E., Elstrodt J., Ernst Eberlein, Heuser H., Hurd T. R, Jacod J., Kathrin Glau, Katznelson Y., Keller-Ressel M, Lee R. W., Pinsky M. A., Rudin W., Sato K., Sauvigny F., Stein E. M., Zimmer R. J.   +25 more
core   +3 more sources

Stabilized Intermediate Phase Via Pseudo‐Halide Anions Toward Highly Efficient and Light‐Soaking Stable Perovskite Solar Cells

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
The formate pseudo‐halide anion is strategically introduced at the buried interface to stabilize the intermediate phases formed during perovskite crystallization. The controlled crystallization enhances crystallinity and alleviates tensile strain, eliminating residual PbI2 near the buried interface.
Jongdeuk Seo, Yun Seop Shin, Dong Gyu Lee, Jaehwi Lee, Jina Roe, Jung Geon Son, Woojin Lee, Yeonjeong Lee, Dongmin Lee, Ji Won Song, Tae Kyung Lee, Dong Suk Kim, Jin Young Kim   +12 more
wiley   +1 more source

Fourier Analysis of the BTZ Black Hole [PDF]

, 2009
In this paper we extend our previous work regarding the role of the Fourier transformation in bulk to boundary mappings to include the BTZ black hole. We follow standard procedures for modifying Fourier Transformations to accommodate quotient spaces and ...
Tolfree, Ian M.
core  

Average-Value Tverberg Partitions via Finite Fourier Analysis

, 2016
The long-standing topological Tverberg conjecture claimed, for any continuous map from the boundary of an $N(q,d):=(q-1)(d+1)$-simplex to $d$-dimensional Euclidian space, the existence of $q$ pairwise disjoint subfaces whose images have non-empty $q ...
Simon, Steven
core   +1 more source

Removing Homocoupling Defects in Alkoxy/Alkyl‐PBTTT Enhances Polymer:Fullerene Co‐Crystal Formation and Stability

Advanced Functional Materials, EarlyView.
PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu, Jochen Vanderspikken, Paola Mantegazza, Stefania Moro, Mouna Hamid, Sigurd Mertens, Niko Van den Brande, Laurence Lutsen, Vincent Lemaur, David Beljonne, Giovanni Costantini, Koen Vandewal, Bruno Van Mele, Wouter Maes, Bart Goderis   +14 more
wiley   +1 more source

Fourier series and approximation on hexagonal and triangular domains [PDF]

arXiv, 2008
Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Ces\`aro summability of Fourier series, degree of approximation and best approximation by trigonometric functions, both direct and inverse theorems.
arxiv  

Magnetic Field‐Assisted Conductive Nerve Guidance Conduit Enabling Peripheral Nerve Regeneration with Wireless Electrical Stimulation

Advanced Functional Materials, EarlyView.
This study introduces a conductive nerve guidance conduit integrated with wireless electrical stimulation through alternating magnetic fields, which induces currents and creates a supportive microenvironment for nerve regeneration. In vivo studies show that this approach significantly enhanced myelin restoration, gastrocnemius muscle regeneration ...
Shiheng Liu, Li‐Fang Zhu, Ming‐Wei Chang, Chao Li, Tingyu Wang, Rong Wang, Xinghao Yan, Baolin Wang   +7 more
wiley   +1 more source

A Simple Proof of the Fourier Inversion Theorem Using Nonstandard Analysis [PDF]

arXiv, 2013
We give a simple proof of the Fourier Inversion Theorem, using the methods of nonstandard analysis.
arxiv