SCIENTIFIC ABSTRACT VITANOV, A.B. - VITASHKINA, S.A.
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CIA-RDP86-00513R001860110018-5
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S
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100
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Publication Date:
December 31, 1967
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SCIENTIFIC ABSTRACT
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Negative Phaso-Sequence Yilters With Independent Arms 105-58-6-7/33
SUBMITTEDt April 3o, 1957
1. Electric filters--Performance 2. Eleitric filters--Mathe-
matical analysis 3. Electric filters--Equipment
Card 4/4
VITANOV, A.B., lnzh.
---- . ..... --, -
Theoz7 and applIcation of tLree-phase ays,,aya componfmtso
Elektrichestva no.6:77-84, J,064 (KIRA ]:-,'Z7)
1. lastitut anargetiki, SofJyap Bolg&Tiyu,
VITANOV, A.B., inzh.
New device for locating damaged phases. Elak. sta. 33 no.5:61-66
My 162, (MIRA 15:7)
1. Institut onergetiki Bolgarskoy Akademii nauk.
(Electric power distribution)
(Electric measurements)
n.".-Ili3tiott .13 AbCVC~l
I vsRue, Ar~,:',.Nvitn _Nt:rvns4t F~YmLC~K, 'Irl 5. Jull 0.,
thstract rE..-.gitsh wsxiiry trilAtfied3t tVp curecnt
to th-9 utu,-.j'. UL drug-,, ~:cvxrmntr, twbouv. rf-it
&git4ittill,
which tuth..)r fci.%-W ersy.4~nl:ttklly -am., a-l rea~.'rvlf-,e
clinic,411y, chl(,rVron#pt&djt7ns (CI oi vtltriFL- llliZl,
dichicrpr", ~izzirie, tht trioxr-Wrie --rd tLe f;o'v_'vc
d;-isopropylp_%trapc!r.c iind j I"L-.j athor CAten analogs ot ~rllgs. weil
ltncwr In th,? Wryt, Ont ijuvigariv-,, 6 33 C-_tch lin-~ !0 W,~.stern
refer.-ftees.
UTANOVI, Al.
Theory and applicatIon of the components of a three-j~hasa s.7stex.
Izv Lab avtomat telemekh 1:37-71 164.
__Y4:~~NOV, D., Inzh.
1-1
lnre3hold characterig-1,::3 c;," pir"I'l-le a.-;d netacrkH
o. Te~nika !~uI4 13 no.9:6-9 1U.
with 180*operatinp rrmq
1. 'Anstituto of Electric Power Enginearing.
VITANDY, A.B., inzh. (Bolgariya, Sofiya).
I
- Negative phase-sequence filters with Independent arms. Elektrichestvo
no.6:29-32 Je 158. WRA 11:6)
(Electric filters)
.A .
MICHEVO V., dots. kand. na, tekh. naWd.; VITA.NOVj D., inzh.
Quality of the BulgarA&*nU'v-carbon steals for the manufacture
of wire and binding materials. Min delo, 18 no.3s22-25 163.
U.-ISR/Cultivabie plant's - i;
V,
Ref Zhur - Biol., Nc) 3, 1958, 10741
Author Kryu!-.ov, A.T., Vitanov, D.P.
Inst rai:cn-;!:,-)-Dneprot)etrovsk Testing A-melioration Station
Title Corn Under Conditiors of Irrigations
Orig Pub : Ku1kuru7,_,, 1956, lio 6, 20-22
Abst.-act : lbe Kanensko-Dnenro.petrovsk Testl~ng Amelioration Station
has zleter:-.iined (1050-1955) that in years of average dry-
ness corn yields are more tb-,,.ri ~Ioul)Le by irriLmtion.
The b,:!-,t predecessor-, of Irrig-ited corn are grains, potaLu,
and z.-Ion-veSetable crops. iVr1ration
is best done 71n October -Noveu~be r (norvi-tl rate -- 900-10,Y)
r.,3/1~ect-are); in the seconO part of "'h,i summer at least
toNT vef;etation Irrigations chouid 1-c jivcn (at 600-700 rri
hect~ire): tlie first during the pht;,,-e when panicle3 are
Card 1/2
USSR/ Cultivabie Pianto, Grains.
Pbs Jour Ref Zhur Biol., 110 3, 1958, 10741
being discarded, and the second -- when the ears are fil-
ling out with g:7ain. Up to 14G0 centners of green mass Der
hectare were harvested from a corn field which followed a
harvest of early vegetables and winter vheat.
Card 2/2
RUBIN~ V.Fj*_ VITANOV, D.ii-.- -
[Cabbage]Kapuata. Yqiv, Derzh.vyd-vo sillsikohospodarslkoi
lit,r.v MEE, 1961. 91 p. (MA 15:10)
(Cabbage)
VITAWV9 G.
Obtai6ent, of rolled metals with minus tolerances. Min delo
18 no.3:25-26 163.
1. Ilauchnoizeledovatelaki institut, po cherna metalurgiia.
VITANCYV, Koicho, inzh.
Sound range in radio broadcasting. Tekbnika Bulg 10 no.1:2,4-26 161.
"~ . Ql~~(
.1
"Filters for Eliminatim of Interferences."
p h5 (Hadic. I Televiziia, Vol - 7~ No. 6, 1958, Sof-iia, bulgaria)
Monthly Index of East European Accessims (EEAI) LC, Vol. 7, No. 11,
Nov. 1958
VITA11OV., K.
Limits of maximal amplitude in amplifiers. P-57.
(RADIO I TELEVIZIIA, Vol. 6'P, no. 3, 1957,, Sofia, Bulgaria.)
SO: Monthly List of East European Accessions (EKAL) LC, Vol. 6. no. 12, December 1957 Unol.
VITANOV, K.
Calculating the filter choking coil in current-rectifled group. p. 56.
(RADio i Tmrwizia, vol. 6, no. 4. 1957. Sofia, Bulgaria*)
SO: Monthly List of East European Accessions (ZEkL) LC, Vol. 6, no. 12, December 1957 Uncl.
VITANOV, K.
Arrangement of loud-"akers in modem radio aets. P- 38-
(RADIO I TELEVIZIIA, Vol. 6, no- 5. 1957, Sofia, Bulgaria.)
SO: Monthly Ust of East European Accessions (EEAL) LC, Vol. 6, no. 12, December 1957 Uncl.
VITANOV, K.
Tune regulator in modern radio reveivers. p. 4.
(RADIO I TELEEVIZIIA. Vol. 6. no. 6, 1957, Sofia, Bulgaria-)
SO: Monthly List of East European Accessions (ETAL) LC, Vol. 6, no. 12.December 1957 Uncl.
VITANOVO K.
Current Regulator Groups. RADIO (Ra,~io) #11:37tNov 54
VITANOV, K.
Calculaticn of the Smoothing Filter Choke. RADIO (Radio) #11:431Nov 54
VITANOV,K.
Characte istics of European Detecting and R.,dio Tubes with a Heatin Rilament
of 6.3 AC Volt. RADIO (Radio) #11.47tNo,. 54
VITANOV, K.
The Second Congress of the DOSO Organization. In Radio Engineering,
No. 2:1 Feb 55
VITANOV, K.
Radio Comunication in the First Years Since the Founding of the
Soviet AnW (In the War of Intervention). In Radio Engineering, No. 2:3
Feb 55
VITANOV, K.
Feb 55 A Patriot and Fighter for Freedom. In Radio Engineering, No. 2:5
V Ivalov, K.
Measuring the Phase Shift Between Potentials. Radio Engineerin,-,, d3:42,-Mar.55
VITANOV, K.
Cathode Amplifiers. Radio 4ngi:neering, #4:19:Apr.55
VITANOV, K.
Magnetic and Electroacoustic Shielding (Screening of Sound Transformers. Radio
Engineering, #6:15:June 55
VITANOV, K.
VIT,U;Ovl K. Nonlinear curves with low-frequency amplifiers. p. 34o Vol. 5s
no. Ut 1956 ELEKTROENERGIIA. Sofiiaj bulgaria
SOURCE: East European Accessions List (M?,.L) Vol 6, No. 4--April 1957
VIT,00V) F.
Mag-retic and electroasco"Otic Prc-!~""j-on of sound trans oomlerl; - Pe 15*
Vol. 4, no. 6, 1955
RADIO
Sofiyag Bulgaria
Nstern European ii-ccession "ol. 5 Vo. L April 1956
'50: w I
VITAN V, K.
No
Calculation of acousticr, in a radio transmitting studio. p. 81.
Vol. 4, no. 7/8, 1955
RADIO
Sofiya, Bulgaria
:~o: Eastern European Accession Vol. 5 No. Is April 1.956
KTO'lov, Y.
Antennas for the radio wire systel. Pe V.
Vol. 4, no. 9, 1955
PION
7o"iya) Bulgaria
Lj I -
- an Accession Vol. 5 No. 4 April 1956
So: Eastern LurOPe
a
VITAITOY, K.
Vitanov, K. Cathode-ray tubes. p. 19. MAMI0. Sofiya. Vol. I!, no. 1', 1955.
SO: Monthlv List of Fast 'European Accessions, (MAL), LG, Vol. 4. No. 11,
Nov. 1955, Uncl.
VITANCV, L. I
The manufacture of agricultural machinery in Bulgaria. Tr. from the Bulgarian.
P. 2h6. (Zemedelske Stroje.) (Praha, Czechoslavakia) Vol. 2, No. 11, Nov. 1957
SO; Monthly Index of East European Accession (EEAI) LC. Vol 7 No. 5, May 1958
VI-IAI"(?'/, N.
Advantageuos coordination of irrif7ation with, water-powcr prod,:cticn in -:-:li-aria.
'i Vr - -c. 21 1~1:r. 5cfiia B-- '"
- I -
p. )4(, Khidrc,'llekh.,.i?a I Yelicralsil 1. --,, 1. 1,
Nionthh, Index of East Euronean Accessicns (FZAI) LC., Vol. 71 No. 1C~
Oct. 5b
VITAIPV' M
Coordinated uve of water for electric-power installations and irrigation. p. 1).
TMNIKA, Sofiya, Vol. 41 no. 6, Aug./Sept. 1)55.
5): Monthly List of East European Accessions, (SEAL), LC, Vol. 5, No. 6 June 1956,
Uncl.
VITANOV, ?Ukhail, d-r.
Economic effect of the pumping stations at the "Begleka, and
"Tochkov chark" dame during 1959 and 1960. Elektroenergiia 12 no.9:
8-11 161.
(Pumping stations) (Electric power)
M
-- - -
= =I.. ntr,
. tq'mre riachines for agricultureff (p. 205 11,01, ATMO-17 --
(ItinisterAvo na ze-mcdelieto) Sofiya Vol 8 11"o 1.2 1953
86: tast tur-onean !Lccessi-ns !---.-t Z *7- 7 At,.:7 -',C:;4
- I-
VITANOV, I-likhail, d-r
Some improtant economic proble=s in the exploitation of
large dams in Bulgaria. Elektroenergiia 14 no. 12: 3-6
D 163.
EULG,o.R-U'. Dlseasclls Of Gultiv,%tcd Pl~lrlts- F:
Lbs Joux : Ref Zhur - Biol., No 9, 1958, No 39704
.'.uthor : Vit-nov M M
Inst : -i~ ~;,ov V 1e 3xperimf2z-,t,-.l Station (Bulgaria)
Title : Now Possibilities for Controling Red Leaf Spot on Pl,=
Trees.
Orig Pub :Byul. rastit. zashchita, 1,057, 6, iio 1, 37-41.
Lbstract :71-te spr,-7ing of the soil und-:!r t1he trees with 1% :'sclinon;
in the fall, aftk~r the shudding of lcaves, or in the
spring, before th,-, oporcing of the buds, guarantees an al-
most total dosluruction of the stromata fungus. It pro-
vents the foniation of porithecia with ascosporcs, which
cause this sprinC infection. Selinon in concentrations
of 1.5, 1.0 and 0.51j; is considerably much more effective
than 1,~ Border~ux mixture, 1411 copp,~r sulfate, 1r' ferrous
Card 1/2
VITANOV. Marko
Possibilities of cultivating the rust-resistant plim varieties.
Selskostop nauka 2 no.lt5l-58 163.
VITANOV, M.P., d-r
Variable irrigation standard in the study of the expenses spent
on the equipment of water econccW. Tekhnika Dulg 3 no.1:12-17
A $54.
41
VITANOV, M.P., d-r
Economic security of irrigation undertakings. Tekhxika Bulg 3
no.3s25-29 Mr 154.
VIUNOV, S.; TODOFTV, I.
---------
"Further development of the domestic industry."
p. 5 (Leka Promishlenost, Vol. b, no. 7, 1957, Sofiia, Bul,7aria)
Monthly Index of East European Accessions (CEAT) LC, Vol. 7, No. 6, June 1958
TRIFONOV, As.; VITPOV, T.-.
Investigating the complexes of Fe(III) with lactic acid in water
solutions. Izv Inat khim BJUI 7:309-319 f60.
(EM 10:9)
1. Khimicheski institut pri BAN.
(Lactic acid) (Iron) (Water) (Solutions)
BUDEWSKI, E. (Ebidevski, E.1; VITA-1XV, T.; BWTANOV. 7.
Mechanical equipment for producing rectPrigitlar grilvar-cst"atic izp,i2ses.
Doklady BAN 17 no.8:725-728 164.
1. Institute of Physical Chemistry of the Bulgarian Academy of
Sciences, Sofia. Vorgeleat von St. Christov [Khrl'stov, St.], korr.
Mitglied der Akademie.
VITANOV, V.A. (Sofiya)
influence of wars on demographic prccesses in Bulgaria.
Sov. zdrav. 21 no.3:75-79 162. (MIRA 15:3)
(WAR)
(BUILARIA-DOOGRAITY)
VITANOVA, K.
"New broadcasts for cur y-,,,:ng listeners." p 1. (RADIO P-1.0LED, Vol. 8 Ifg, Fe". 1:153,
-Bulgaria)
SO: Monthly List of East European Accessions, Vol. 2 #8, Library of Congress,
August, 1954, Uncl.
S/137/6eooo/003/045/191
A0061AI01
AWHORS: Aradi, A., Vitanyi, P.
TI TLE : Problems of vanadium metallurgy
PERIODICAL: Roferativnyy zhurnal, Metallurgiya, no. 3, 1962, 22, abstract 301,12
("Kohhsz lapok", 1961, v. 94, no. 7, 308 - 314, Hungarian; Russian,
Maglish and German summaries)
TEXT: In Hungary V is obtained by processing wastes In alumina production.
On the basis of the ra7a material amount, V production could be raised by a factor
of 1.5. Experiments were made with refining VC14 of 02- It was established that
VOC13 and VC14, unlike VC13, are well dissolved in CC14. This made it possible
to separate VC1 from VC14 and VOCI,. VC14 should be preliminarily reduced to
VC1 according io reaction 2VC14 + tff = 2VG13 + -_5'Cl + " The VC.1 obtained waz
ref?ned by vacuum distillation from 1, VC14 aftd. VOCI 3- However, re?ining from I
was not complete. The given technology makes it possible to refine the raw material
and to obtain pure V205-
2
B. Mat I yush
[Abstracter's note: Complete -translation]
Card 1/1
S/137/6Z/000/001/028/237
A060/A101
AUTHORS: Aradi-Antal, VitAnyi P&lnb
TIME: Chlorination of vanadium-
PERIODICAL: Referativnyy zhurnal, Metallurgiya, no. 1, 1962, 20, abstract 10153
("Amiparl kutat6.int.,k3z1.", ig6o, 4, 371-380, 403, 417, 4270.'
Hungarian; Russian, German, English summary)
TM: Investigations were carried out, directed towards obtaining VC14
from V20 by chlorination -reduction. It was established that the degree 'of
v
oxychlorlde admixture in the VC14 obtained depends upon~the'temperatui6'and:
carbon.concentration.
0. Svodtseva t
[Abstracter's notet Complete translation]
Card 1/1
a 4 a
IN
j ;I " : ~j
IN
LEPES, Tibor, Major dr.; zLzau2l~ ogo
Resistence of Anopheles maciilipennis to DDT in Macedonia. Voi.
san. pregI., Beogr. 13 no.5-6:243-249 May-June 56.
1. Katedra za.bigijenu I, apidemiologiju, VRA. Institut za
mikrobiologiju i parazitologiju. Parazitolooko odeljenjo.
(1,40SWITOES, off. of drugs on
DDT on Anopheles maculipennis (Ser))
ODT, off.
on Anopheles maculipennis (Ser))
w 0 v Inv 6 W a r
0 m? 0 T
00 A
00 a peact"ff AW P64#10F.05
see
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yak. ow.,
297-40J.-Omd1he AM AcO rW
nL_p.
IL coo
*go NLP. I
dm w OH is In th# p
pa"m Ciff. An. (r) 600
.016*0
AIN.SLA NCIALLLOCKAL UTINATUIR CLASWKATOW
so
U 9 AV 0 Uji a to a 19
0 0 0 9 9 0 0 0 0 9
0 liq
*Tod :000*000006:::Go
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0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 - -0900000000009:611
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2 0 V- 0C2, "' 0~ 2 i'~ C 7
101
AUTHORS: Aradi, Antal' Major, Gabriella** Vita'nyi, Irina
TITLE: Removal of %-anadium oxychloride from vanadium chlorides of
lower valency
PERIODICAL: Referativnyy zhurnal. Khimiya, no. 2, 1962, 364, abstract
2K103 ([F~mipari Kutato' Inte'zet]. Hungarian patent 147788,
30, 11. 60)
TEXT: In order to produce pure VC1 3 (used ir. the production of metail-'c
vanadium), the initial product is treated several times with an organic
nonpolar solvent (CC1 41 CS2 or gasoline), and the solution of oxychlorides
and chlorides of vanadium with higher valencies separated from the
undissolved VC1 3' The organic phase is then shaken up with water, convert-
ing the vanadium compounds into an aqueous solution. The regenerated solvent,
is returned for further use, and the compounds of vanadium are precipitated
from the aqueous phase and reprocessed into VC13. [Abstracter's note:
Complete translation.]
Card 1/1
GERSUENS011j, S.,, M!jI.Lfu VITAS, K.I.~ DORROVOISKAYA, G.N.
and a SKURATOVSKAYA, L N. 7-
"Formation of a DINAOcontaining Virus by Host !ULA.11
report submitted for the 5th Intl. Congress of Biocheirdstry.,
Moscow., 10-16 August 1961.
Dept. of Genetics) Inst. of Zoology, Acad. Sci. Ukr SSR
V-A.TA-'-, K.I.,
~,q . 'A"'YUR, (' ain results of the aclontific rosearch
.11 F. I-AN ,0 Ill
work during 1937 of the Fan-Soviot Scnintif.tc hose,,rc-ii
Institute for the Sui-rar Industr,"(VNIS) 483 pp. 3c f*l;-,.,
0 r
31 diaga., 14 6raphs., 1939. (pp 257-2i3o)(260-262)
VITAS1 is 1*0
PLFffect of Various Methods of Pre-4owing Treatment of Beet Seed on Infection
with Korneed ( A P~cpplex Disease).* in Principas Conclusions of the Scientif
--------- - ---- - - - -
, 1939, pp. 255-257. 65.9 V96
So: Sirs, - Si-90-53, 15 Dec. 1953
VITASt X, 11
K. I. Vitas, "Study of the Furgus Botr-:tis cinerea Pers. and Other Fungi for
Use during Microbiological Anal:.,3ts of the Infection of Pact Roots L-1 Stcra-r,e Prt,u
in PriiciTal gonclusiono of the 3c ion" if ic-Re:3~-,-arch Work of U ~ All. Union lvion.ific
Research Institute for the Supar Industry for 193P, Rate Technological-
Economica'. Publishing TiOU3e of Food industry, Moscow, 1.91,0, pp. 166-167.
65.9 V96
SO: Sira Si,90-53, 15 Dec 1953
VITASP K. L
See: SJUJUNS?AIA, N. I., GUMOLIAEO, V. 1,, and GRINBERG, D. N.
VITAS, K. I. "Study of Rhizoctonia on Sugar Beets," in Principal
Conclusions of the Scientific-Research Work of the All Union
Scientific-Research Institute for the Sugar Industry for
1937, State Technological-Economical Publishing House of
Food Industry, Mloscow, 1939, pp. 260-262. 65.9 V96
So: Sira. - Si - 90- 53, 15 December 1953
GERSHEIZONg S.M.j KOK9 I.P.; VTITASI KI,; DOBROVOLISKAYAt G.N.
(Dobravolisika, H.M.3; SKURLTOVSKAYAp I.N. (Skuratovolkay I.H.3
Formation of a virus containing deoxyribonucleic acid by a
ribonucleic acid host. Dop. AN URSR no. 12:1638-1641 160.
(MIRA 14:1)
1. Institut zoologii AN USSR. Predstavleno akademikom AN USSR
V.G. Kaol-yanenko.
(Si2kwormB) (Nucleic acids) (Viruses)
'k
VITAS, 1. 1., DOBROVOISKAYA, G. N., SKURATOVSKAYA, I. N., GM?SMZCt4, S.M.,
KOK, 1. P-.-,- (USSR)
"DNA Containing Virus Formation with the Acid of Host RNA."
Report presented at the 5th Int'l. Biochemistry Congress, MOSCOW, 10-16 Aug 1961.
2A59
P/03 61/013/004/002/00=
40 0 D250YD302
AUTHORS: Babus'ka, Ivo, and VitAsek, Emil (Prague)
TITLE: The Wiener-Hopf technique in the theory of difference
equations (II)
PERIODICAL: Archiwum mechaniki stosowanej, v, 13, no. 4, 1961,
457-468
TEXT: The authors extend the discussion of their previous work
(Ref. 1: Wiener-Hopf technique in the theory of difference equa-
tions (I), Arch. Mech. stos. 1, 13 (1961) 3-21) to two dimensions.
The problem is defined as follows: T,12 denotes the set of all mesh
points in the two-dimensional Euclidean space, and R2 the set of
all appropriately bounded complex functions defined on M2* Let
Dr-M2. R(D) will indicate a subspace of the space R of functions
2 2
f, for which
Card 1/8
2)h59
P/O 3 6 1 /01 3100411-~)02100:1
The Wiener-Hopf technique ... D250YI)302
f(r) = 0 for all rC- M 2- 1) (~.2)
Let f 6 R The function f(D )E R(D) ia made to correopond the func-
2 " 2
tion f, according to the rule
f(D) (r) = f(r) for all rcD (2-3)
Let R2 be the set of all functions a GR2, for which the following
holds: For every integer p~~O there exists a constant C ;>
that p ,0, such
ja(r, r2)1 p (2.4)
Card 2/8 (1+jr1I9)(1+Ir2)p)
29h' )9
P/03 61/013/004/002/005
The Wiener-Hopf technique ... D250YI)302
for all re M 2* Further let a(-R 2' Then a mapping A defined by the
rule
00 00
(Af)(ri r2 ) = 2 Z a(r 1- 81, r2-8 2)f(sl,s2 (2.5)
s1=-00 S 2=_ 00
is the convolution mapping of the space R 2 into R 2* Let A(D) de-
signate the mapping of the space R(D) into the space R (D) , defined
(D) (D) 2 2
by the rule A f (Af) 9
A(D)f = (Af) (D)
(2.6)
Card 3/8
2) 59
P/033 61/013/004/002/005~
The Wiener-Hopf technique ... D250 D302
rD
The problem of finding a function g 6-R (D) such that A(D)g = f~
2
AOD)g = f
(2.7.)
is called the Wiener-Hopf A-problem on the set D. Then the solu-
tion is given by the following theorem: Let D be an arbitrary set
of mesh points, W(D) its WH-kernel, and vl(m 2- D) the WH-kernel of
its complement. Purther let a K1, K 2 decomposition be possible for
A, such that K 1C W(D), K2r_W(DI2_'D). Then the Wiener-Hopf A-problem
on the set D has one and only one solution for each right. hand
side f FR(D). This solution is given by the formula
2
g (C;
Card 4/8
29459
P/03 61/013/004/002/005
The Wiener-Hopf technique ... D250YD302
where
Jc = e-y([_,: - 1 (K,
'Yd = e-T(L.~ - 1 (jnyag (K2-K,
The WH-kernel of the set D is denoted by W(D) and defined as fel-
lows: Let r be an arbitrary fixed mesh point r 6D. Further let
P (If) be a ray originating in this point and forming an an,71e'p
r C_~
with the positive direction of t'he axis X1, and let V. be the se!
of such p,(If), for which (pr(T)f)I.!2)CD. Let a ray g originat-
ing in the origin and formin6 the same angle with the positive di-
rection of the axis X1, correspond to each ray pr(T). ~2hus a. cer-
tain set is made - callit V(O) - of rays originating in the origin,
Card 5/8
29459
P/033/61/013/004/002/00:5
The Wiener-Hopf technique ... D250/D302
corresponding to every point rED. Then
W(D) V(O))nM
r 2 (4.19)
rFD
K1, K 2 decomposition for the operator A is said to be possible ilf
sets and functions described as follows exist: Let o-6R,, and 1e-.
cL have the index zero. FuZ y that *.he
_~her let cLhave the propert .1
sets K,, K 2OR2 exist, such thatJ -1 (In-ScL) 6, KI Lj K2- Then ther,~
exist such functions c and d, ce R2, d6_R 21 c, d have the index
zero, c F-R (K1) d E: R(K2) that
2 2
Card 6/8
CL - ~Lc
29)452
P/033/61/013/004/002/005
The Wiener-Hopf technique D250/D302
The Fourier transform is defined by:
0:f 2 f(s)e 1 1 2 2) (4-8)
SEM2
Say that GL6R 2has the index zero if 7 cL / 0 for all X 6 E2;
xl=2fr = x2=2-W
LArg (YoL) ( x1 Ix2)1 x1=0 0, LArg(~~c~)(xi,x A x1 =0 = 0(4.10)
Also assume that the set K( M2 belongs to the class7f(2, if 't
Card 7/8
29459
P/03--/61/013/004/002/005
The Wiener-Hopf technique ... D250/D302
is formed by all the mesh point3 lying on all rays p(T), issutni,
from the origin and forming an angle (f with the positive directi-or,
0
of the axis X1, such that a_(cf(13 or or_
Green's function of the difference equation of heat conduction in
n variables, There are 6 references: 5 Soviet-bloc and 1 non-Sov-
iet-bloc.
ASSOCIATION: Matematical Institutep Czechoslovak Academy of Scien-
ces
SUBMITTED: November 25, 1959
Card 3/3
Zoo
AUTHORS:
TITLE:
23518
P/033/61/OL3/001/001/009
11 ()-S, P) 21, D242/D301
Babugka, Ivo and Vithaek, Emil (Prague)
The Wiener-Hopf technique in the theory of difference
equations
PERIODICAL: Archiwum mechaniki stosowanej, v. 13, no. 1, 19611
3-21
79XTo. In this paper, the results of I. Babuska's work (Ref. 1:
The Fourier Transform in the Theory of.Difference Equations and its
Applications, Arch. Mech. Stos., 11 (1959) 349-381) is extended.to
the solution.-of..the.Wiener-Hopf problem in the one-dimensional ca.",;
The problem is defined.as follows: M denotes the set of all integer
R denotes the linear space of all bounded complex functions defined
on M; R+ denotes the subspace such that f(n) a 0 for n < 0; f+(n) X
0 and f__(n) u f(n) if n < 0; Wn) - f(n) and f__(n) - 0 if n >, 0;
Given a function.a E R such that to every integer p ;p 0 there exists
a constant CP with I a(n) ( I nj P + 01 ~