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Superoscillating Sequences and Hyperfunctions
Publications of the Research Institute for Mathematical Sciences, 2019In this paper we discuss the approximation of hyperfunctions in one variable using sequences of low frequency hyperfunctions. In particular, we show that this superoscillation property holds for compactly supported hyperfunctions. Finally, we show that the approximation is also possible for tempered hyperfunctions.
Colombo F. +3 more
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Idiosyncracies of Parathyroid Hyperfunction
Oncology, 200922 patients with hyperplasia and adenomas of the parathyroid glands were studied and reviewed. They form the basis of this report, which emphasizes the idiosyncracies and vagaries of this disease. The diagnosis of hyperparathyroidism is reported in context with the clinical picture, and the overall relationship of this condition to multiple endocrine ...
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Hyperfunctions and renormalization
Journal of Mathematical Physics, 1986A condition is found so that the Wick-ordered power series of scalar fields in four-dimensional space-time is defined as a Fourier-hyperfunction field, and the derivative coupling model is investigated in the framework of hyperfunction quantum field theory.
Shigeaki Nagamachi +1 more
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Hyperfunctions in one variable, hyperfunctions in the Nilsson class
2011Hyperfunctions in one variable. Differentiation of a hyperfunction. The local nature of the notion of a hyperfunction. The integral of a hyperfunction. Hyperfunctions whose support is reduced to a point. Hyperfunctions in the Nilsson class.
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Steroids, 1995
To elucidate the mechanisms of abnormal steroid production in hyperfunctioning and non-hyperfunctioning adrenal tumors, we examined both the activities and amounts of steroidogenic cytochromes P450 in the tumor and non-tumor portions of these adrenals at the posttranslational (protein) level.
H, Suzuki +4 more
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To elucidate the mechanisms of abnormal steroid production in hyperfunctioning and non-hyperfunctioning adrenal tumors, we examined both the activities and amounts of steroidogenic cytochromes P450 in the tumor and non-tumor portions of these adrenals at the posttranslational (protein) level.
H, Suzuki +4 more
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Thyroid Hyperfunction During Pregnancy
Thyroid, 1998The present report focuses on the two main causes of hyperthyroidism observed in the pregnant state: Graves' disease (GD) and gestational transient thyrotoxicosis. Together, the prevalence of hyperthyroidism may represent 3% to 4% of all pregnancies, and therefore constitutes an important clinical issue. Concerning GD, the variable presentations of the
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1992
Let D be a domain containing a part or the whole of the x-axis. Denote the parts of D above and below the x-axis by D+ and Dā respectively. Let F +(z) be an analytic function regular in D+ and F ā(z) an analytic function regular in Dā. If the limit f(x) defined by $$f(x) = \mathop {\lim }\limits_{ \in \to + 0} \{ {F_ + }(x + i \in ) - {F_ - }(x - i
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Let D be a domain containing a part or the whole of the x-axis. Denote the parts of D above and below the x-axis by D+ and Dā respectively. Let F +(z) be an analytic function regular in D+ and F ā(z) an analytic function regular in Dā. If the limit f(x) defined by $$f(x) = \mathop {\lim }\limits_{ \in \to + 0} \{ {F_ + }(x + i \in ) - {F_ - }(x - i
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Introduction to Hyperfunctions
2010After a short overview of generalized functions and of the different ways they can be defined, the concept of a hyperfunction is established, followed by an introduction to the most simple and familiar hyperfunctions. Then the elementary operational properties of hyperfunctions are presented.
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Vocal fatigue and its relation to vocal hyperfunction
International Journal of Speech-Language Pathology, 2008Nancy Solomon
exaly

