Minkowski dimension and explicit tube formulas for $p$-adic fractal strings
, 2018 The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a $p$-adic ...
Hùng, Lũ' +2 more
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A Functional equation related to inner product spaces in non-archimedean normed spaces
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
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Magmas Erupted during the Main Pulse of Siberian Traps Volcanism were Volatile-poor [PDF]
The eruption of the Siberian Traps Large Igneous Province (SLIP) at the Permo-Triassic boundary was synchronous with environmental degradation and the largest known mass extinction in the geological record.
Edmonds, Marie +3 more
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Condition pseudospectrum of operator pencils on non-archimedean Banach spaces
, 2023 This paper deals with the condition pseudospectrum and essential condition pseudospectrum of operator pencils on n.a Banach spaces. We give a characterization of the condition pseudospectrum of operator pencils on n.a Banach spaces, the relation between ...
Ettayb, Jawad
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Transcendental Picard-Mann hybrid Julia and Mandelbrot sets [PDF]
, 2019 In this paper, the fascinating Julia and Mandelbrot sets for the complex-valued transcendental functions z → sin(z m) + c, (m ≥ 2) ∈ N have been obtained in Picard, Ishikawa and Noor orbits.
Chandra Joshi Mahesh +2 more
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Parabolic type equations on p−adic balls [PDF]
, 2015 In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r.En este artículo encontramos la solución al problema de
Casas-Sánchez, Oscar +1 more
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An Extension of Herglotz\u27s Theorem to the Quaternions [PDF]
, 2015 A classical theorem of Herglotz states that a function n↦r(n) from Z into Cs×s is positive definite if and only there exists a Cs×s-valued positive measure dμ on [0,2π] such that r(n)=∫2π0eintdμ(t)for n∈Z.
Alpay, Daniel +4 more
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The Spectral Theorem for Quaternionic Unbounded Normal Operators Based on the S-Spectrum [PDF]
, 2016 In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of S-spectrum. The proof technique consists of first establishing a spectral theorem for quaternionic bounded normal operators and then using a ...
Alpay, Daniel +2 more
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GENERALIZED HYERS–ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES [PDF]
. In this paper, we prove the generalized Hyers–Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x − 2y) = 4f(x + y) + 4f(x − y) − 6f(x) + f(2y) + f(−2y) − 4f(y) − 4f(−y) in non-Archimedean Banach ...
Abbas Najati +3 more
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On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces [PDF]
, 2013 Dongseung Kang, Heejeong Koh
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