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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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1992
Let us begin with two ordinary functions φ 1(x) and φ 2(x) and suppose that their Fourier transforms $${\psi _1}(\xi ) = F{\phi _1}(x),{\psi _2}(\xi ) = F{\phi _2}(x)$$ (1.1) exist. The Fourier transform of the product φ 1(x) · φ 2(x) is $$F\{ {\phi _1}(x){\phi _2}(x)\} = {\text{ }}\int_{ - \infty }^\infty {{\phi _1}(x){\phi _2}(x){e ...
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Let us begin with two ordinary functions φ 1(x) and φ 2(x) and suppose that their Fourier transforms $${\psi _1}(\xi ) = F{\phi _1}(x),{\psi _2}(\xi ) = F{\phi _2}(x)$$ (1.1) exist. The Fourier transform of the product φ 1(x) · φ 2(x) is $$F\{ {\phi _1}(x){\phi _2}(x)\} = {\text{ }}\int_{ - \infty }^\infty {{\phi _1}(x){\phi _2}(x){e ...
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[Hyperfunctioning parathyroid carcinoma].
Zhonghua zhong liu za zhi [Chinese journal of oncology], 1987Two cases of parathyroid carcinoma with hyperparathyroidism, a relatively rare endocrine tumor are reported. It accounts for approximately 1-4% of all cases of primary hyperparathyroidism. Parathyroid crisis occurred for three times in one case. It is difficult to make an early diagnosis, frequently leading to misdiagnosis and wrong treatment.
J Z, Yang, Z Q, Gao, Z Y, Huang
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Hyperfunctioning Adrenocortical Diseases
Medical Clinics of North America, 1967openaire +2 more sources
The Hyperfunctioning Thyroid Nodule
Southern Medical Journal, 1969W M, Morton, J W, Runyan
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