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Type of generalized function
In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought
Hyperfunction
Disorders of the endocrine system
hypofunction/hyposecretion (leading to hormone deficiency) Endocrine gland hyperfunction/hypersecretion (leading to hormone excess) Tumours (benign or malignant)
Endocrine_disease
Japanese mathematician (1928–2023)
mathematician known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He was a professor at the Research Institute
Mikio_Sato
Technique of studying linear partial differential equations
analysis to study properties and generalizations of functions such as hyperfunctions and microfunctions. Semantically, algebraic analysis is the application
Algebraic_analysis
Enlargement of the spleen
(such as in hemolytic anemias), which suggests that it is a response to hyperfunction. It is therefore not surprising that splenomegaly is associated with
Splenomegaly
Show of the anterior gingiva above the teeth when smiling
be caused by an abnormal dental eruption (delayed passive eruption), hyperfunction of the upper lip elevator muscle, excessive vertical growth of the maxilla
Gummy_smile
Endocrine disease
Hypergonadism is a condition where there is a hyperfunction of the gonads. It can manifest as precocious puberty, and is caused by abnormally high levels
Hypergonadism
Objects that generalize functions
use of spaces of analytic test functions leads to Sato's theory of hyperfunctions; this theory has a different character from the previous ones because
Distribution (mathematical analysis)
Distribution_(mathematical_analysis)
Glands of the endocrine system that secrete hormones to blood
of reserve, hyposecretion, agenesis, atrophy, or active destruction. Hyperfunction can occur as a result of hypersecretion, loss of suppression, hyperplastic
Endocrine_gland
Injury to one or both recurrent laryngeal nerves
folds is hyperfunctional. Hyperfunction may also make it difficult to detect the presence of vocal fold paresis. Hyperfunction of the area above the vocal
Vocal_cord_paresis
Medical condition
Adrenocortical hyperfunction is a condition where there is an overexpression of products of the adrenal cortex. Magiakou, Maria Alexandra (August 2004)
Adrenocortical_hyperfunction
Indicator function of positive numbers
_{\epsilon \to 0^{+}}{\frac {{\mbox{atan2}}(\epsilon ,-x)}{\pi }}} A hyperfunction: H ( x ) =: ( 1 − 1 2 π i log z , − 1 2 π i log z ) {\displaystyle
Heaviside_step_function
infra-exponential growth rate will have a Fourier transform that is a Fourier hyperfunction. Examples of subexponential growth rates arise in the analysis of algorithms
Infra-exponential
Generalized function whose value is zero everywhere except at zero
Publications, 2004, ISBN 9780486438047. Komatsu, Hikosaburo (2002), "Fourier's hyperfunctions and Heaviside's pseudodifferential operators", in Kawau, Takahiro; Fujita
Dirac_delta_function
Theorem of analytic continuations
edge-of-the-wedge theorem has a natural interpretation in the language of hyperfunctions. A hyperfunction is roughly a sum of boundary values of holomorphic functions
Edge-of-the-wedge_theorem
Composition by Markus Reuter
small-group version was released as Reuter's Todmorden 513 album on the Hyperfunction label in 2011. The 2013 orchestral version has been recorded and released
Todmorden_513
Medical condition
v t e Adrenal gland disorder Hyperfunction Aldosterone Hyperaldosteronism Primary aldosteronism Conn syndrome Bartter syndrome Glucocorticoid remediable
Generalized glucocorticoid resistance
Generalized_glucocorticoid_resistance
Hormone-producing glands of a body
of reserve, hyposecretion, agenesis, atrophy, or active destruction. Hyperfunction can occur as a result of hypersecretion, loss of suppression, hyperplastic
Endocrine_system
Objects extending the notion of functions
convolution algebras that are integral domains; and the theories of hyperfunctions, based (in their initial conception) on boundary values of analytic
Generalized_function
Folds of throat tissues that help to create n through vocalization
common site for injury. If a person has a phonotrauma or habitual vocal hyperfunction, also known as pressed phonation, the proteins in the basal lamina can
Vocal_cords
Amino acid
schizophrenia is still poorly understood, a number of factors, such as dopamine hyperfunction, glutamatergic hypofunction, GABAergic deficits, cholinergic system
Arginine
British geneticist and biogerontologist
about the causes of aging, the programmatic theory (also known as the hyperfunction theory, and the developmental theory). This was developed by George
David_Gems
Integral transform and linear operator
difference of the limits of F± from the appropriate half-planes, or as a hyperfunction distribution. Two functions of this form are a solution of the Riemann–Hilbert
Hilbert_transform
Increase in parathyroid hormone levels
diagnostic performance. Primary hyperparathyroidism results from a hyperfunction of the parathyroid glands themselves. The oversecretion of PTH is due
Hyperparathyroidism
Branch of physics
1007/BF01491987. Penrose, Roger (2004). "9: Fourier decompositions and hyperfunctions". The Road to Reality: A Complete Guide to the Laws of the Universe
Theoretical_physics
French mathematician (1930–1972)
) Martineau was one of the early advocates of the theory of Sato's hyperfunctions and gave lectures on this topic in the Bourbaki Seminar during 1960–1961
André_Martineau
American mathematician
Mathematics, Differential geometry Institutions Rice University Thesis Hyperfunctions and Linear Partial Differential Equations (1966) Doctoral advisor Hikosaburo
F._Reese_Harvey
Autoimmune disease
production assistance of white blood cells to affected areas causes hyperfunction of the spleen. This increase in defense activities ultimately causes
Felty's_syndrome
Adrenal adenoma, familial Adrenal cancer Adrenal disorder Adrenal gland hyperfunction Adrenal gland hypofunction Adrenal hyperplasia Adrenal hyperplasia,
List_of_diseases_(A)
One of six awards by the Wolf Foundation
Mikio Sato Japan for his creation of algebraic analysis, including hyperfunction theory and microfunction theory, holonomic quantum field theory, and
Wolf_Prize_in_Mathematics
American surgeon
Jr. and C. A. Smith. Experimental gastrojejunal ulcers due to antrum hyperfunction. Arch. Surg., 63:298-302. 1952 With J. M. Zubiran, A. E. Kark, J. A
Lester_Dragstedt
integrable) functions. Examples are Schwartz's distributions and Sato's hyperfunctions. germ The germ of a function at a point p {\displaystyle p} is the equivalence
Glossary of real and complex analysis
Glossary_of_real_and_complex_analysis
Topological vector spaces
compact support. Use of analytic test functions leads to Sato's theory of hyperfunctions. The following notation will be used throughout this article: n {\displaystyle
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
Benign white growths on vocal folds which change one's voice quality
Vocal overuse (speaking for long periods), abuse (yelling), or misuse (hyperfunction) may produce excessive amounts of mechanical stress by increasing the
Vocal_cord_nodule
the study of functions where the argument is a hypercomplex number. Hyperfunction theory Contents: Top A B C D E F G H I J K L M N O P Q R S T U V W
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Tool to track locally defined data attached to the open sets of a topological space
sheaf theory is published. At around this time Mikio Sato proposes his hyperfunctions, which will turn out to have sheaf-theoretic nature. At this point sheaves
Sheaf_(mathematics)
Techniques in mathematical analysis
with linear partial differential equations, Fourier transform methods, hyperfunctions and pseudo-differential operators. It is concerned with elliptic regularity
Microlocal_analysis
Medical condition
glucocorticoid medications may be due to either GR hypofunction or hyperfunction. Similarly, variations in individual hypothalamic-pituitary-adrenal
Steroid_dementia_syndrome
Iron metabolism in the body
old age, which supports the notion that antagonistic pleiotropy or "hyperfunction" drives human aging. Chronic iron toxicity is usually the result of
Human_iron_metabolism
Chemical compound
Hypoglycemic Action of Sodium Mesoxalate with Special Reference to Hyperfunction of Pituitary-Adrenal Cortical System in Dogs Exposed to Cold[permanent
Dihydroxymalonic_acid
Phenomenon characterized by the cessation of cell division
of senescent cells such as cellular hypertrophy, SASP and lysosomal hyperfunctions. The enlarged cells that are able to re-enter the cell cycle are prone
Cellular_senescence
Type of mathematical functions
its own, different directions. Subsequent developments included the hyperfunction theory, and the edge-of-the-wedge theorem, both of which had some inspiration
Function of several complex variables
Function_of_several_complex_variables
Therapy (RIT) is a nuclear medicine procedure used to treat thyroid hyperfunction, Graves' disease, thyroid enlargement, and certain forms of thyroid
History of radiation protection
History_of_radiation_protection
German doctor
significantly e.g. the application of radioactive isotopes in the thyroid hyperfunction. Fried published about it 1952. Although the financial situation of
Carl_Simon_Fried
Medical condition
in receptor expression lead to hyperfunctioning of the parathyroid. Hyperfunction of the parathyroid gland is thought to exacerbate primary hyperplasia
Tertiary_hyperparathyroidism
Japanese mathematician (born 1949)
1973 from the University of Tokyo. He studied microlocal analysis and hyperfunctions in the early 1970s under the influence of Mikio Satō and Masaki Kashiwara
Tetsuji_Miwa
Gene locus
of the extra-large stimulatory G protein alpha-subunit leads to Gs hyperfunction in platelets and is a risk factor for bleeding". Thrombosis and Haemostasis
GNAS_complex_locus
French doctor and resistance fighter
entitled "Benzene Hemopathies," 1934. Histological tests of prehypophyseal hyperfunction in certain obese individuals, Bull. et mém. de la Soc. méd. des hôpitaux
Léon_Israël
Vietnamese-French mathematician and mathematical physicist (born 1938)
variables, semiclassical approximations in quantum mechanics, and Sato's hyperfunctions. Pham in the 1960s applied Thom's methods of differential topology to
Frédéric_Pham
a pituitary adenoma from an acromegalic in 1909. Treating endocrine hyperfunction by neurosurgery was a major neurological landmark. Egas Moniz (1874–1955)
History of neurology and neurosurgery
History_of_neurology_and_neurosurgery
Combination syndrome, also known as anterior hyperfunction syndrome
Combination syndrome, also known as anterior hyperfunction syndrome
Dental_combination_syndrome
Soviet surgeon, and one of the pioneers of oncology in the USSR
spleen diseases, the severity of which is determined by dysfunction or hyperfunction of this organ, the patient's condition can be alleviated by its removal
Peter_Herzen
French mathematician
and derived categories. Schapira received his doctorate for work on hyperfunctions. Although these were already in use in France by André Martineau, they
Pierre Schapira (mathematician)
Pierre_Schapira_(mathematician)
Graduate-level textbooks in mathematics
Renormalization Curtis T. McMullen 1994-11-29 214 978-0691029818 136 Hyperfunctions on Hypo-Analytic Manifolds Paulo D. Cordaro, François Treves 1994-10-03
Annals_of_Mathematics_Studies
American mathematician
ISBN 978-0-486-45352-1. Cordaro, Paulo D.; Treves, Francois (1994). Hyperfunctions on hypo-analytic manifolds. Annals of mathematics studies. Princeton
François_Trèves
Overview of intersex people's rights in Germany
frigidity and reduced fertility in the case of hypoplasia of the gonads and hyperfunction of the pituitary gland, sometimes eunuch-like tall stature, also disorders
Intersex_rights_in_Germany
Japanese theoretical physicist
Imai, Isao (2012) [First published 1992], M. Hazewinkel (ed.), Applied hyperfunction theory, Mathematics and its Applications (Book 8), New York: Springer-Verlag
Isao_Imai_(physicist)
Mathematics concept
are also orthogonal with respect to a real weight, provided it is a hyperfunction. A generalization of the Bessel polynomials have been suggested in literature
Bessel_polynomials
Brainwaves with frequencies larger than 80 Hz
oscillopathies associated with frontal hypofunction and hippocampal hyperfunction". Scientific Reports. 8 (1): 11588. Bibcode:2018NatSR...811588P. doi:10
High-frequency_oscillations
Mathematical transform
singular spectrum WFA(f) of a distribution f (or more generally of a hyperfunction) can be defined in terms of the FBI transform as the complement of the
Fourier–Bros–Iagolnitzer transform
Fourier–Bros–Iagolnitzer_transform
The following is a partial list of the "C" codes for Medical Subject Headings (MeSH), as defined by the United States National Library of Medicine (NLM)
List_of_MeSH_codes_(C19)
Italian mathematician
Scienze dell'Istituto di Bologna. Luigi Amerio Distribution (mathematics) Hyperfunction (Pini 1991, p. 120), (Scorza Dragoni 1991, pp. 63–64) and (Sbordone
Gianfranco_Cimmino
American mathematician (died 2019)
1016/j.jfa.2003.12.006. Cordaro, Paulo D.; Hanges, Nicholas (2009). "Hyperfunctions and (analytic) hypoellipticity". Mathematische Annalen. 344 (2): 329–339
Nicholas_Hanges
South Korean mathematician (born 1959)
Chung, Soon-Yeong; Kim, Dohan (1994). "A Characterization for Fourier Hyperfunctions". Publications of the Research Institute for Mathematical Sciences.
Chung_Soon-yeong
autoimmune active chronic hepatitis, myasthenia gravis, Adrenocortical hyperfunction-Cushing's syndrome, primary biliary cirrhosis. However, as study sizes
HLA_A1-B8_haplotype
Swedish mathematician
of Fourier transform, which foreshadowed the work of Mikio Sato on hyperfunctions; his notes were published in Carleman (1944). He considered the functions
Torsten_Carleman
Austrian-German physiologist
in paresis of the superior oblique muscle as well as on congenital hyperfunction of the superior oblique muscle. In 1902 he became an associate professor
Franz_Bruno_Hofmann
Italian mathematician
of Milan in 1996. Her dissertation, Toward a Theory of Quaternionic Hyperfunctions, was supervised by Daniele C. Struppa. Sabadini is the author of multiple
Irene_Sabadini
differential equations) André Martineau, Les hyperfonctions de M. Sato (hyperfunctions) Arnold S. Shapiro, Algèbres de Clifford et périodicité des groupes
Séminaire Nicolas Bourbaki (1960–1969)
Séminaire_Nicolas_Bourbaki_(1960–1969)
Professor and researcher from Brazil
Marques. 1993: Globally hypoelliptic systems of vector fields. 1994: Hyperfunctions on hypo-analytic manifolds. 1996: On local solvability of underdetermined
Paulo_Domingos_Cordaro
Oshima, Toshio (1974). "A Proof of Ehrenpreis' Fundamental Principle in Hyperfunctions". Proceedings of the Japan Academy. 50: 16–18. doi:10.3792/pja/1195519103
Ehrenpreis's fundamental principle
Ehrenpreis's_fundamental_principle
research interests include functional analysis, generalized functions and hyperfunctions, pseudo-differential operators, time–frequency analysis, linear and
Stevan_Pilipović
Polish mathematician
education. Topological Imbedding of Laplace Distributions in Laplace Hyperfunctions. Polish Academy of Sciences. 1998. (with Bogdan Ziemian) The Mellin
Zofia_Szmydt
HYPERFUNCTION
HYPERFUNCTION
HYPERFUNCTION
HYPERFUNCTION
Boy/Male
Tamil
Variant of David beloved
Boy/Male
Arabic
Thankful; Grateful
Girl/Female
Tamil
A daughter (Daughter of Aja)
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Whole; Universe
Boy/Male
Arabic, Parsi
Nature; Habit; Manifestation
Girl/Female
Indian, Kannada
A Precious Stone
Female
Finnish
Variant spelling of Finnish Janika, JANEKA means "God is gracious."
Boy/Male
Polish
Glory and honour.
Male
Egyptian
, the Living Bull.
Boy/Male
Hindu
Nectar
HYPERFUNCTION
HYPERFUNCTION
HYPERFUNCTION
HYPERFUNCTION
HYPERFUNCTION