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functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic function of
Pluriharmonic_function
Concept in complex analysis
holomorphic function of several complex variables seem to be meant as formal derivatives: as a matter of fact when Osgood expresses the pluriharmonic operator
Wirtinger_derivatives
Italian mathematician (1924–2018)
Cauchy's integral formula to complex functions of a hypercomplex variable, the theory of pluriharmonic functions and for the introduction of the now called
Giovanni_Battista_Rizza
Singularities of holomorphic functions extend infinitely outward
first paper where a general solution to the Dirichlet problem for pluriharmonic functions is given for general real analytic data on a real analytic hypersurface
Hartogs's_extension_theorem
Italian mathematician (1879–1961)
34202. The announce of the solution of the Dirichlet problem for pluriharmonic functions for domains with real analytic boundaries. Severi, Francesco (1932)
Francesco_Severi
Differentiable manifold
holomorphic functions. The real parts of the CR functions are called the CR pluriharmonic functions. The Kohn Laplacian ◻ b {\displaystyle \Box _{b}}
CR_manifold
Italian mathematician (1922–1996)
"Boundary value problems for pluriharmonic functions" (English translation of the title) a trace condition for pluriharmonic functions is proved. Fichera, Gaetano
Gaetano_Fichera
American mathematician
analogues of the holomorphic, or pluriharmonic, functions that exist in the Kaehler case, they always have plurisubharmonic functions and, in fact, each manifold
H._Blaine_Lawson
Italian mathematician (1911–1999)
proves an earlier result of Luigi Amoroso on the boundary values of pluriharmonic function by using tensor calculus. Martinelli, Enzo (1942–1943), "Sopra una
Enzo_Martinelli
kernel is the pluriharmonic functions, it also follows that the kernel of the CR Paneitz operator contains all CR Pluriharmonic functions. So the kernel
Paneitz_operator
Italian mathematician
also known for her contributions to the Dirichlet problem for pluriharmonic functions on the unit sphere of C n . {\displaystyle \mathbb {C} ^{n}.} Gaetano
Maria_Adelaide_Sneider
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Male
Egyptian
, Functionary of the Interior.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Male
Egyptian
, a great functionary.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Biblical
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Male
Celtic
, great justiciary, or functionary.
Male
Egyptian
, a high Egyptian functionary.
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
Biblical
tribulation; labor,he twists,he shall surround,intelligent,
Boy/Male
Tamil
Vivek Vardhan | விவேக வரà¯à®¤à®¨Â
Increaser of knowledge
Girl/Female
Hindu, Indian, Malayalam, Marathi
Durga; Pupil of the Eye
Female
Greek
(ἈÏάχνη) Greek myth name of a young girl who was turned into a spider by Athena, ARACHNE means "spider."
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : nickname for a vain or showy person, from Middle English scheldrake, a type of brightly colored duck (from the East Anglian dialect term scheld ‘variegated’ + drake ‘male duck’).
Girl/Female
Arabic, Australian, Chinese, Christian, Danish, Finnish, German, Hawaiian, Hebrew, Swedish
Ghost; Night Demon; Storm Goddess; Spirit of the Night; Lily
Boy/Male
Biblical
God is my fatness.
Male
English
Masculine variant spelling of English unisex Greer, GRIER means "watchful; vigilant."
Male
Italian
Italian form of Roman Tertius, TERZO means "third."
Girl/Female
Indian, Telugu
Lord Venkateswara
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Destitute of function, or of an appropriate organ. Darwin.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
v. t.
To assign to some function or office.
v. i.
Alt. of Functionate
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Pertaining to the function of an organ or part, or to the functions in general.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
pl.
of Functionary