Zobrazeno 1 - 10
of 7 519
pro vyhledávání: '"P, Schlosser"'
Superoscillatory functions represent a counterintuitive phenomenon in physics but also in mathematics, where a band-limited function oscillates faster than its highest Fourier component. They appear in various contexts, including quantum mechanics, a
Externí odkaz:
http://arxiv.org/abs/2412.16999
Autor:
Schlosser, Michael J.
Using Bailey's very-well-poised $_6\psi_6$ summation, we show that a specific sequence of well-poised bilateral basic hypergeometric $_3\psi_3$ series form a family of orthogonal functions on the unit circle. We further extract a bilateral matrix inv
Externí odkaz:
http://arxiv.org/abs/2412.03559
Autor:
Turpin, Clotilde, Rossel, Olivier, Schlosser-Perrin, Félix, Ng, Sam, Matsumoto, Riki, Mandonnet, Emmanuel, Duffau, Hugues, Bonnetblanc, François
Objective: Direct cortical responses (DCR) and axono-cortical evoked potentials (ACEP) are generated by electrically stimulating the cortex either directly or indirectly through white matter pathways, potentially leading to different electrogenic pro
Externí odkaz:
http://arxiv.org/abs/2411.16360
Autor:
Cohl, Howard, Schlosser, Michael
Ismail and Wilson derived a generating function for Askey--Wilson polynomials which is given by a product of $q$-Gauss (Heine) nonterminating basic hypergeometric functions. We provide a generalization of that generating function which contains an ex
Externí odkaz:
http://arxiv.org/abs/2411.03571
Holomorphic functions are fundamental in operator theory and their Cauchy formula is a crucial tool for defining functions of operators. The Fueter-Sce extension theorem (often called Fueter-Sce mapping theorem) provides a two-step procedure for exte
Externí odkaz:
http://arxiv.org/abs/2410.07251
Autor:
Lee, Yejin, Sun, Anna, Hosmer, Basil, Acun, Bilge, Balioglu, Can, Wang, Changhan, Hernandez, Charles David, Puhrsch, Christian, Haziza, Daniel, Guessous, Driss, Massa, Francisco, Kahn, Jacob, Wan, Jeffrey, Reizenstein, Jeremy, Zhai, Jiaqi, Isaacson, Joe, Schlosser, Joel, Pino, Juan, Sadagopan, Kaushik Ram, Shamis, Leonid, Ma, Linjian, Hwang, Min-Jae, Chen, Mingda, Elhoushi, Mostafa, Rodriguez, Pedro, Pasunuru, Ram, Yih, Scott, Popuri, Sravya, Liu, Xing, Wu, Carole-Jean
Generative artificial intelligence (AI) technology is revolutionizing the computing industry. Not only its applications have broadened to various sectors but also poses new system design and optimization opportunities. The technology is capable of un
Externí odkaz:
http://arxiv.org/abs/2410.00215
Autor:
Mantovani, Francesco, Schlosser, Peter
The aim of this article is to introduce the H-infinity functional calculus for unbounded bisectorial operators in a Clifford module over the algebra R_n. While recent studies have focused on bounded operators or unbounded paravector operators, we now
Externí odkaz:
http://arxiv.org/abs/2409.07249
Autor:
Schlosser, Michael J., Zhou, Nian Hong
We prove specific biases in the number of occurrences of parts belonging to two different residue classes $a$ and $b$, modulo a fixed non-negative integer $m$, for the sets of unrestricted partitions, partitions into distinct parts, and overpartition
Externí odkaz:
http://arxiv.org/abs/2408.14365
Autor:
Hu, Zhining, Schlosser, Tobias, Friedrich, Michael, Silva, André Luiz Vieira e, Beuth, Frederik, Kowerko, Danny
In semiconductor manufacturing, the wafer dicing process is central yet vulnerable to defects that significantly impair yield - the proportion of defect-free chips. Deep neural networks are the current state of the art in (semi-)automated visual insp
Externí odkaz:
http://arxiv.org/abs/2407.20268
Autor:
Behrndt, Jussi, Schlosser, Peter
In this paper a class of oscillatory integrals is interpreted as a limit of Lebesgue integrals with Gaussian regularizers. The convergence of the regularized integrals is shown with an improved version of iterative integration by parts that generates
Externí odkaz:
http://arxiv.org/abs/2407.09830