aSpaceaSpaceaSpaceaSpaceaSpaceafterSpaceallSpacealsoSpaceAnSpaceandSpaceandSpaceandSpaceandSpaceandSpaceandSpaceandSpaceandSpaceandSpaceandSpaceanswerSpaceareSpaceaskassume

basisSpacebeSpacebeSpacebeSpacebeSpacebecauseSpacebecauseSpaceboundariesSpaceboundedSpaceby

wedgeanSpacecontradiction

determineSpaceDiederichSpacediffeomorphismSpaceDoesSpacedomains

EperiodSpaceevery

FinallycommaSpacefollowingSpacefollowingSpacefollowingSpaceForSpaceforSpaceforSpaceFornaessSpacefurtherSpaceFurthermorecomma

generalperiodSpacegetSpacegetSpacegivesSpacegives

UaveSpacehaveSpaceholdsperiodSpaceholomorphicperiod

IfSpaceifSpaceifSpaceInSpaceinSpaceIntegrationSpaceinterestSpaceintersectionSpaceInvarianceSpaceisSpaceisSpaceisSpaceit

IperiodKperiod

largecolonSpaceLetSpacelet

may

qprime(frac31N)>0tin[frac32N, N]0<b(t)<frac2pi,SpaceC2hyphenfunctionSpacegprime(frac32N)<0,Spacegprime(frac32N)geqq0,Spaceg(t)=a(t)cosb(t)semicolon

a(t)=fraccosb(t)g(t)periodSpacebprime=fracg;2+g2gprime2minusggdoubleprime>1gprime(t)=minusa(t)sinb(t)period

qSpaceISpaceNC2SpaceIperiodSpaceIperiodSpaceoverlineD1overlineD2Spacetin@Spacea(t)b(t)gprime<0Phi|D1D1,SpaceD2gdoubleprime<0,SpacetrightarrowNminustgdoubleprime+g<0minusfrac32Ncommaa(t)>0periodSpacegprime(t)<0a(t),Spaceb(t)I=[0,Spacefrac2pi]Phi:overlineD1rightarrowoverlineD2

b(frac2pi)>frac2pi+b(0)>frac2piSpacecommaSpaceb(t)=arccot(minusfracgsingleendquartation(t)g(t))

namelySpaceneighborhoodSpacenowSpacenowSpacenumbers

ofSpaceofSpaceofSpaceofSpaceonSpaceonSpaceonSpaceonSpaceoneSpaceonlySpaceopen

288Spaceleftpar23rightparperiodSpaceleftpar24rightparSpaceleftpar24rightparSpaceleftpar25rightparSpaceleftpar25rightparperiodSpacesection4periodSpacesquare

positiveSpacepreservesSpacePropersectionySpaceproveSpacepseudoconvex

questioncolon

realSpaceremark

ieemsSpacesets?SpacesimplifcationSpacesinceSpacesituationSpacesituationcommaSpacesmoothSpacesomeSpaceSteinSpaceSteinSpacestrictlySpacesuchurcornerupposed

takeSpacethatSpacethatSpacethatSpaceTheSpacetheSpacetheSpacetheSpacetheSpacetheSpacethenSpacetheoremcolonSpaceThereSpacethereforeSpaceThereforecommarhereforecommaSpacethereforecommaSpacethisSpacetoSpacetoSpacetoSpacetoSpacetoSpacetoSpacetransformationSpacetranslation

rnknown

wantSpacewantSpacewasSpaceWeSpaceWeSpaceweSpaceweSpaceweSpaceweSpaceweSpacewhatSpacewithSpacewithSpacewith