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PLURISUBHARMONIC FUNCTION

  • Plurisubharmonic function
  • Type of function in complex analysis

    In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex

    Plurisubharmonic function

    Plurisubharmonic_function

  • Function of several complex variables
  • Type of mathematical functions

    (or plurisubharmonic) exhaustive function, i.e. a smooth real function ψ {\displaystyle \psi } on X (which can be assumed to be a Morse function) with

    Function of several complex variables

    Function_of_several_complex_variables

  • Subharmonic function
  • Class of mathematical functions

    0} , where Δ {\displaystyle \Delta } is the usual Laplacian. Plurisubharmonic function — generalization to several complex variables Classical fine topology

    Subharmonic function

    Subharmonic_function

  • Pluripolar set
  • Analog of a polar set for plurisubharmonic functions

    potential theory, a pluripolar set is the analog of a polar set for plurisubharmonic functions. Let G ⊂ C n {\displaystyle G\subset {\mathbb {C} }^{n}} and let

    Pluripolar set

    Pluripolar_set

  • Sławomir Kołodziej
  • Polish mathematician (born 1961)

    and theoretical mathematics including Monge–Ampère equation and plurisubharmonic functions. He graduated in mathematics from the Jagiellonian University

    Sławomir Kołodziej

    Sławomir_Kołodziej

  • Pseudoconvexity
  • Mathematical concept

    pseudoconvex (or Hartogs pseudoconvex) if there exists a continuous plurisubharmonic function φ {\displaystyle \varphi } on G {\displaystyle G} such that the

    Pseudoconvexity

    Pseudoconvexity

  • H. Blaine Lawson
  • American mathematician

    holomorphic, or pluriharmonic, functions that exist in the Kaehler case, they always have plurisubharmonic functions and, in fact, each manifold has

    H. Blaine Lawson

    H. Blaine Lawson

    H._Blaine_Lawson

  • Lelong number
  • manifold. Similarly a plurisubharmonic function also has a Lelong number at a point. The Lelong number of a plurisubharmonic function ϕ {\displaystyle \phi

    Lelong number

    Lelong_number

  • Quasinorm
  • Functional Analysis. Springer. ISBN 0-387-97245-5. Kalton, N. (1986). "Plurisubharmonic functions on quasi-Banach spaces" (PDF). Studia Mathematica. 84 (3). Institute

    Quasinorm

    Quasinorm

  • Convex analysis
  • Mathematics of convex functions and sets

    pseudoconvexity, holomorphic convexity, polynomial convexity, and plurisubharmonic functions play roles analogous in some respects to convexity in real analysis

    Convex analysis

    Convex analysis

    Convex_analysis

  • Plush (disambiguation)
  • Topics referred to by the same term

    an Australian furniture retailer owned by Fantastic Holdings Plurisubharmonic function Sithon nedymond, the plush, a butterfly in the family Lycaenidae

    Plush (disambiguation)

    Plush_(disambiguation)

  • Pluriharmonic function
  • variable separately does not imply that it is pluriharmonic. Plurisubharmonic function Wirtinger derivatives See for example (Severi 1958, p. 196) and

    Pluriharmonic function

    Pluriharmonic_function

  • Nadel vanishing theorem
  • Vanishing theorem for multiplier ideals

    {J}}(\varphi )\right)=0\;\;{\text{for}}\;\;i>0.} Let arbitrary plurisubharmonic function ϕ {\displaystyle \phi } on Ω ⊂ X {\displaystyle \Omega \subset

    Nadel vanishing theorem

    Nadel_vanishing_theorem

  • Pierre Lelong
  • French mathematician

    Poincaré–Lelong equation, the Lelong number and the concept of plurisubharmonic functions. Lelong earned his doctorate in 1941 from the École Normale Supérieure

    Pierre Lelong

    Pierre Lelong

    Pierre_Lelong

  • Xiangyu Zhou
  • Chinese mathematician

    Qi'an; Zhou, Xiangyu (2013). "Strong openness conjecture for plurisubharmonic functions". arXiv:1311.3781 [math.CV]. Guan, Qi'an; Zhou, Xiangyu (2015)

    Xiangyu Zhou

    Xiangyu_Zhou

  • Kiyoshi Oka
  • Japanese mathematician (1901–1978)

    Known for Oka coherence theorem Oka's lemma Oka–Weil theorem Plurisubharmonic function Awards Asahi Prize (1953) Japan Academy Prize (1951) Order of

    Kiyoshi Oka

    Kiyoshi Oka

    Kiyoshi_Oka

  • Khabibullin's conjecture on integral inequalities
  • related to Paley's problem for plurisubharmonic functions and to various extremal problems in the theory of entire functions of several variables. The conjecture

    Khabibullin's conjecture on integral inequalities

    Khabibullin's_conjecture_on_integral_inequalities

  • Oka's lemma
  • Theorem in mathematics about plurisubharmonic functions

    {\displaystyle \mathbb {C} ^{n}} , the function − log ⁡ d ( z ) {\displaystyle -\log d(z)} is plurisubharmonic, where d {\displaystyle d} is the distance

    Oka's lemma

    Oka's_lemma

  • PSH
  • Topics referred to by the same term

    Standard Hundred, a measure of timber PlayStation Home Plurisubharmonic function, a class of functions commonly abbreviated to P S H . {\displaystyle {\mathcal

    PSH

    PSH

  • CR manifold
  • Differentiable manifold

    pseudoconvex as a CR manifold from the side of the domain. (See plurisubharmonic functions and Stein manifold.) An abstract CR structure on a real manifold

    CR manifold

    CR_manifold

  • Valentino Tosatti
  • Italian mathematician (born c.1981)

    Valentino; Weinkove, Ben (2016). "The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold". Journal of the American Mathematical

    Valentino Tosatti

    Valentino_Tosatti

  • Ddbar lemma
  • Theorem in complex geometry

    forms to be completely described using a single function, which is automatically a plurisubharmonic function, the study of compact Kähler manifolds can be

    Ddbar lemma

    Ddbar_lemma

  • List of convexity topics
  • understanding the behaviour of polynomials over local fields Plurisubharmonic function Pseudoconvexity Radon's theorem - on convex sets, that any set

    List of convexity topics

    List_of_convexity_topics

  • Geometry Festival
  • American annual mathematics conference

    University): Variations of Bergman kernels and symmetrization of plurisubharmonic functions Simon Donaldson (Imperial College, London): Kähler-Einstein metrics

    Geometry Festival

    Geometry_Festival

  • Nessim Sibony
  • French mathematician

    of Mathematics 1950-2000, Birkhäuser, 2000, p. 711 (Kiselman Plurisubharmonic functions and potential theory in several complex variables) "MatchID -

    Nessim Sibony

    Nessim Sibony

    Nessim_Sibony

  • Phạm Hoàng Hiệp
  • Vietnamese Mathematician

    worked on plurisubharmonic functions and (with Jean-Pierre Demailly) found a lower-bound on the log canonical threshold of such a function. If ϕ {\displaystyle

    Phạm Hoàng Hiệp

    Phạm_Hoàng_Hiệp

  • Complex convexity
  • functions, the subharmonic functions and the plurisubharmonic functions. Geometrically, these classes of functions correspond to convex domains and pseudoconvex

    Complex convexity

    Complex_convexity

  • Glossary of real and complex analysis
  • surface. plurisubharmonic A function f {\displaystyle f} on an open subset U ⊂ C {\displaystyle U\subset \mathbb {C} } is said to be plurisubharmonic if t

    Glossary of real and complex analysis

    Glossary_of_real_and_complex_analysis

  • Stein manifold
  • Term in mathematics

    means that it has a strongly pseudoconvex (or plurisubharmonic) exhaustive function, i.e. a smooth real function ψ {\displaystyle \psi } on X {\displaystyle

    Stein manifold

    Stein_manifold

  • Kähler manifold
  • Manifold with Riemannian, complex and symplectic structure

    (by Siu). A smooth real-valued function ρ {\displaystyle \rho } on a complex manifold is called strictly plurisubharmonic if the real closed (1,1)-form

    Kähler manifold

    Kähler_manifold

  • Analytic polyhedron
  • Subset of complex n-space bounded by analytic functions

     35–36). Åhag, Per; Czyż, Rafał; Lodin, Sam; Wikström, Frank (2007), "Plurisubharmonic extension in non-degenerate analytic polyhedra" (PDF), Universitatis

    Analytic polyhedron

    Analytic_polyhedron

  • Emil J. Straube
  • Swiss and American mathematician

    in C {\displaystyle \mathbb {C} } n admitting a defining function that is plurisubharmonic on the boundary". Mathematische Zeitschrift. 206 (1): 81–88

    Emil J. Straube

    Emil_J._Straube

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  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    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.

    Jenner

  • ASESKAFANKH
  • Male

    Egyptian

    ASESKAFANKH

    , a great functionary.

    ASESKAFANKH

  • KHEN-TA
  • Male

    Egyptian

    KHEN-TA

    , Functionary of the Interior.

    KHEN-TA

  • Fuller
  • Surname or Lastname

    English

    Fuller

    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.

    Fuller

  • KAFH-EN-MA-NOFRE
  • Male

    Egyptian

    KAFH-EN-MA-NOFRE

    , a high Egyptian functionary.

    KAFH-EN-MA-NOFRE

  • Gates
  • Surname or Lastname

    English

    Gates

    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.

    Gates

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  • Biblical

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  • AMENHERATF
  • Male

    Egyptian

    AMENHERATF

    , the son of the functionary Heknofre.

    AMENHERATF

  • Catt
  • Surname or Lastname

    English

    Catt

    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.

    Catt

  • Genki
  • Boy/Male

    Buddhist, Indian, Japanese

    Genki

    Mysterious Function

    Genki

  • VIRIDOMARUS
  • Male

    Celtic

    VIRIDOMARUS

    , great justiciary, or functionary.

    VIRIDOMARUS

  • ANKHSNEF
  • Male

    Egyptian

    ANKHSNEF

    , an Egyptian functionary.

    ANKHSNEF

  • ANIEI
  • Male

    Egyptian

    ANIEI

    , an Egyptian functionary.

    ANIEI

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Online names & meanings

  • Carle
  • Surname or Lastname

    English

    Carle

    English : variant of Carl.French : Norman and Picard form of Charles.Swiss German : variant spelling of Karle.

  • Urvashree
  • Girl/Female

    Indian, Sanskrit

    Urvashree

    Beautiful

  • Thawain
  • Boy/Male

    English

    Thawain

    Thaw.

  • Theodosius
  • Boy/Male

    British, English, French, German, Greek

    Theodosius

    Giver of God

  • Firasah
  • Boy/Male

    Arabic, Muslim

    Firasah

    Perspicacity; Acumen

  • Wichar
  • Girl/Female

    Indian, Punjabi, Sikh

    Wichar

    Reflection on God

  • Snehith | ஸ்நேஹித
  • Boy/Male

    Tamil

    Snehith | ஸ்நேஹித

    A friend, Be friendly

  • Rathidevi | ராதீதேவீ 
  • Girl/Female

    Tamil

    Rathidevi | ராதீதேவீ 

    Consort of cupid, Love, Joy

  • ARABELLE
  • Female

    French

    ARABELLE

    French form of Italian Arabella, ARABELLE means "answered prayer."

  • Ashleigh
  • Girl/Female

    English American

    Ashleigh

    Meadow of ash trees.

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PLURISUBHARMONIC FUNCTION

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PLURISUBHARMONIC FUNCTION

  • Functionless
  • a.

    Destitute of function, or of an appropriate organ. Darwin.

  • Vegetative
  • 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.

  • Vicar
  • n.

    One deputed or authorized to perform the functions of another; a substitute in office; a deputy.

  • Ventricle
  • n.

    Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.

  • Functional
  • a.

    Pertaining to, or connected with, a function or duty; official.

  • Function
  • 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.

  • Function
  • v. i.

    Alt. of Functionate

  • Functionalize
  • v. t.

    To assign to some function or office.

  • Vicarious
  • prep.

    Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.

  • Virial
  • 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.

  • Functionate
  • v. i.

    To execute or perform a function; to transact one's regular or appointed business.

  • Functionaries
  • pl.

    of Functionary

  • Vehmic
  • 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.

  • Functionary
  • n.

    One charged with the performance of a function or office; as, a public functionary; secular functionaries.

  • Vitalism
  • 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.

  • 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.

  • Vascular
  • a.

    Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.

  • Functionally
  • adv.

    In a functional manner; as regards normal or appropriate activity.

  • Functional
  • a.

    Pertaining to the function of an organ or part, or to the functions in general.

  • Vital
  • a.

    Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.