Results 51 to 60 of about 952,579 (232)

Functional calculus for generators of analytic semigroups of operators

Karpatsʹkì Matematičnì Publìkacìï, 2013
We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with ...
O. V. Lopushansky, S. V. Sharyn
doaj   +1 more source

Flexural Behavior of 3D‐Printed Porous Bouligand‐Structured Polymers: Influence of Pitch Angle and Porosity

Advanced Engineering Materials, EarlyView.
This study examines how helicoidal architectures with different porosities respond to bending. Adjusting layer angle and spacing in 3D‐printed polymers reveals clear tradeoffs between stiffness, strength, and energy absorption. Experiments and simulations highlight designs that distribute stress effectively, offering pathways for optimizing lightweight
Praveenkumar Subhash Patil, Edward D. McCarthy, Parvez Alam   +2 more
wiley   +1 more source

Radon Transforms of Tempered Distributions

Real Analysis Exchange, 2005
The author very beautifully discusses the convergence problem of Radon transforms for the space of tempered distributions. This is a good departure from defining integral transforms unscrupulously (without discussing convergence etc.). We refer the reader to [\textit{J.~M.~C.\ Joshi}, ``Fractional integration and certain integral transforms'', Agra ...
openaire   +3 more sources

Influence of Scan Strategies in Electron Beam Powder Bed Fusion on Solidification, Microstructure, and High‐Temperature Compressive Properties of γ′‐Strengthened Inconel 738LC

Advanced Engineering Materials, EarlyView.
Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati, Karthik Kumar Banku, Prasanth Bondi, Ivan Zhirnov, Yangyiwei Yang, Gordon Schmidt, Jürgen Christen, Georg Hasemann, Manja Krüger, Bai‐Xiang Xu, Bilal Gökce, Silja‐Katharina Rittinghaus   +11 more
wiley   +1 more source

Distributional celestial amplitudes

Journal of High Energy Physics
Scattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space S ℝ $$ \mathcal{S}\left(\mathbb{R}\right) $$ by duality.
Majdouline Borji, Yorgo Pano
doaj   +1 more source

On explicit reciprocity law over formal groups

International Journal of Mathematics and Mathematical Sciences, 2004
Let 𝔣 be a one-dimensional Lubin-Tate formal group over ℤp. Colmez (1998) and Perrin-Riou (1994) proved an explicit reciprocity law for tempered distributions over the formal group 𝔾m. In this paper, the general explicit reciprocity law over the formal
Shaowei Zhang
doaj   +1 more source

An Itō Formula in the Space of Tempered Distributions [PDF]

Journal of Theoretical Probability, 2015
We extend the Itō formula \cite{MR1837298}*{Theorem 2.3} for semimartingales with rcll paths. We also comment on Local time process of such semimartingales. We apply the Itō formula to Lévy processes to obtain existence of solutions to certain classes of stochastic differential equations in the Hermite-Sobolev spaces.
openaire   +3 more sources

Investigating the Effect of Inclination Angle and the Influence of Scan Parameters on the Appearance and Thermal and Mechanical Properties of Filigree Tension Rods of LPBF‐Manufactured NiTi Shape‐Memory Alloys

Advanced Engineering Materials, EarlyView.
This article investigates the dependence of the properties on the manufacturing orientation in the form of the inclination angle to the build plate of LPBF‐fabricated NiTi rods with a diameter of 150–220 µm. Metallographic, chemical, thermal, and mechanical characterization show behavior under identical manufacturing conditions that ranges from ...
Sandra Herzig, Michael Werner, Christian Rotsch   +2 more
wiley   +1 more source

Photon Entanglement, Bell Inequality Violation, and Energy Interpretation of the Born Rule in Maxwell–Schwartz Field Theory

Mathematics
In this paper we study photon entanglement in the framework of Maxwell–Schwartz field theory. The ambient state space is the complex Maxwellian distribution space W=S′(M4,C3), whose elements are fields of the form F=E→+icB→. Polarization is realized as a
David Carfì
doaj   +1 more source

Strong boundedness of analytic functions in tubes

International Journal of Mathematics and Mathematical Sciences, 1979
Certain classes of analytic functions in tube domains TC=ℝn+iC in n-dimensional complex space, where C is an open connected cone in ℝn, are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered ...
Richard D. Carmichael
doaj   +1 more source