Results 131 to 140 of about 600 (183)
Bicomplex hyperfunctions [PDF]
Annali Di Matematica Pura Ed Applicata, 2010 The authors continue their study of some aspects of analysis of bicomplex numbers. In their recent work [``Singularities of functions of one and several bicomplex variables'', Ark. Mat. 49, No. 2, 277--294 (2011)] they studied the singularities of holomorphic functions of bicomplex variables.
Fabrizio Colombo +2 more
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Generalized Hyperfunctions on the Circle [PDF]
Journal of Mathematical Analysis and Applications, 2001 The author constructs an embedding of the space \({\mathcal B} (\mathbb{T})\) of hyperfunctions on the unit circle \(\mathbb{T}\) in a differential algebra \({\mathcal H}(\mathbb{T})\) whose elements are called generalized hyperfunctions. This allows one to define the product of two hyperfunctions without any restriction.
Vincent Valmorin, Valmorin, Vincent
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Sato’s Hyperfunctions and Boundary Values of Monogenic Functions [PDF]
Advances in Applied Clifford Algebras, 2014 We describe the relationship between Sato's hyperfunctions and other theories of boundary values.
Irène Sabadini +2 more
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Hyperfunctions, formal groups and generalized Lipschitz summation formulas [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 a b s t r a c t A construction relating the theory of hyperfunctions with the theory of formal groups and generalizations of the classical Lipschitz summation formula is proposed.
Stefano Marmi, Piergiulio Tempesta
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Hyperfunctioning parathyroid carcinoma
Skeletal Radiology, 2000Primary hyperparathyroidism is rarely caused by carcinoma. We report a patient who manifested many of the clinical and radiographic features of the disease. When encountering symptomatic hypercalcemia with or without a palpable neck mass, carcinoma should be considered in the differential diagnosis.
T G, Abrahams, P, Hanks, M, Jones
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Wavelet expansions of analytic hyperfunctions [PDF]
Integral Transforms and Special Functions, 1995 A class of analytic hyperfunctions on the reel line is characterized in terms of the wavelet expansions of its members. It is shown that any such analytic hyperfunction can be expanded in a series of wavelets generated by a Meyer-type wavelet.
Ahmed I Zayed
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Stability of functional equations in the spaces of distributions and hyperfunctions [PDF]
Journal of Mathematical Analysis and Applications, 2003 Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato ...
Jaeyoung Chung
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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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