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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
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 (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
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
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
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
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
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Biblical
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Male
Egyptian
, a great functionary.
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.
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 : 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
Celtic
, great justiciary, or functionary.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a high Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
Boy/Male
Hindu, Indian, Kannada, Marathi, Telugu, Traditional
Creator of Universe
Boy/Male
Hindu, Indian, Marathi
Lord Krishna; Lord Vishnu
Girl/Female
Latin
Shining.
Girl/Female
Indian, Punjabi, Sikh
One who Sings Praises of the Lord
Boy/Male
Arabic, Hindu, Indian, Muslim
A Fountain of Paradise
Girl/Female
Tamil
Hindu Goddess name
Boy/Male
Arabic, Muslim
Great
Boy/Male
German Scottish
Rules the people; powerful ruler. Famous Bearers: explorer Sir Walter Raleigh (1554-1618) and...
Boy/Male
Hindu, Indian, Traditional
Grace of Laxmi
Girl/Female
British, English, Russian
Guardian
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
PLURIHARMONIC FUNCTION
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
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.
a.
Pertaining to, or connected with, a function or duty; official.
v. t.
To assign to some function or office.
pl.
of Functionary
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.
Destitute of function, or of an appropriate organ. Darwin.
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.
adv.
In a functional manner; as regards normal or appropriate activity.
v. i.
Alt. of Functionate
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.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
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.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
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.
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.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
a.
Pertaining to the function of an organ or part, or to the functions in general.