Class information for:
Level 1: WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18495 549 18.2 29%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
42 3       IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION//MICROWAVE AND OPTICAL TECHNOLOGY LETTERS//ENGINEERING, ELECTRICAL & ELECTRONIC 97664
717 2             IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION//ELECTROMAGNETIC SCATTERING//METHOD OF MOMENTS MOM 12825
18495 1                   WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS 549

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 WIENER HOPF TECHNIQUE authKW 500521 6% 27% 33
2 WIENER HOPF OPERATOR authKW 357532 3% 43% 15
3 FACTORIZATION OF MATRIX FUNCTIONS authKW 231743 1% 83% 5
4 ABSORBING HALF PLANE authKW 222475 1% 100% 4
5 WEDGE DIFFRACTION PROBLEM authKW 222475 1% 100% 4
6 UNIT MATEMAT LICACOES address 200223 1% 60% 6
7 PARAUNITARY MATRIX POLYNOMIALS authKW 166856 1% 100% 3
8 POLE REMOVAL TECHNIQUE authKW 166856 1% 100% 3
9 SOLVABILITY THEORY authKW 166856 1% 100% 3
10 TOEPLITZ PLUS HANKEL OPERATOR authKW 166856 1% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 5650 40% 0% 222
2 Mathematics 5424 43% 0% 237
3 Mechanics 1264 17% 0% 95
4 Acoustics 640 7% 0% 37
5 Physics, Multidisciplinary 111 8% 0% 45
6 Telecommunications 90 4% 0% 22
7 Multidisciplinary Sciences 86 2% 0% 13
8 Engineering, General 82 3% 0% 19
9 Mathematics, Interdisciplinary Applications 55 3% 0% 15
10 Audiology & Speech-Language Pathology 40 1% 0% 7

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 UNIT MATEMAT LICACOES 200223 1% 60% 6
2 UNIT MATH PLICAT 148314 1% 67% 4
3 SUPER TECN MATEMAT 127125 1% 57% 4
4 ERCIS ARTS TECHNOL 111238 0% 100% 2
5 ANAL PROCESSAMENTO SINAIS 111234 1% 50% 4
6 HYDROACOUST 106953 1% 38% 5
7 RD MATH PLICAT 81785 1% 29% 5
8 ANAL GEOMETRIA SISTEMAS 55619 0% 100% 1
9 ANAL GEOMETRIA SISTEMAS DINAM 55619 0% 100% 1
10 ANAL PROC SINAIS 55619 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 57345 9% 2% 48
2 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 12965 5% 1% 29
3 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 12350 3% 1% 16
4 WAVE MOTION 10196 3% 1% 19
5 MATHEMATISCHE NACHRICHTEN 7967 4% 1% 24
6 IMA JOURNAL OF APPLIED MATHEMATICS 7522 3% 1% 14
7 COMPLEX ANALYSIS AND OPERATOR THEORY 7356 2% 1% 9
8 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 6501 2% 1% 10
9 OPERATORS AND MATRICES 5748 1% 1% 7
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 3691 3% 0% 18

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 WIENER HOPF TECHNIQUE 500521 6% 27% 33 Search WIENER+HOPF+TECHNIQUE Search WIENER+HOPF+TECHNIQUE
2 WIENER HOPF OPERATOR 357532 3% 43% 15 Search WIENER+HOPF+OPERATOR Search WIENER+HOPF+OPERATOR
3 FACTORIZATION OF MATRIX FUNCTIONS 231743 1% 83% 5 Search FACTORIZATION+OF+MATRIX+FUNCTIONS Search FACTORIZATION+OF+MATRIX+FUNCTIONS
4 ABSORBING HALF PLANE 222475 1% 100% 4 Search ABSORBING+HALF+PLANE Search ABSORBING+HALF+PLANE
5 WEDGE DIFFRACTION PROBLEM 222475 1% 100% 4 Search WEDGE+DIFFRACTION+PROBLEM Search WEDGE+DIFFRACTION+PROBLEM
6 PARAUNITARY MATRIX POLYNOMIALS 166856 1% 100% 3 Search PARAUNITARY+MATRIX+POLYNOMIALS Search PARAUNITARY+MATRIX+POLYNOMIALS
7 POLE REMOVAL TECHNIQUE 166856 1% 100% 3 Search POLE+REMOVAL+TECHNIQUE Search POLE+REMOVAL+TECHNIQUE
8 SOLVABILITY THEORY 166856 1% 100% 3 Search SOLVABILITY+THEORY Search SOLVABILITY+THEORY
9 TOEPLITZ PLUS HANKEL OPERATOR 166856 1% 100% 3 Search TOEPLITZ+PLUS+HANKEL+OPERATOR Search TOEPLITZ+PLUS+HANKEL+OPERATOR
10 WIENER HOPF PLUS HANKEL OPERATOR 166856 1% 100% 3 Search WIENER+HOPF+PLUS+HANKEL+OPERATOR Search WIENER+HOPF+PLUS+HANKEL+OPERATOR

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MISHURIS, G , ROGOSIN, S , (2016) CONSTRUCTIVE METHODS FOR FACTORIZATION OF MATRIX-FUNCTIONS.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 81. ISSUE 2. P. 365 -391 38 73% 0
2 MEISTER, E , ROTTBRAND, K , (1997) ELASTODYNAMICAL SCATTERING BY N PARALLEL HALF-PLANES IN R-3 .2. EXPLICIT SOLUTIONS FOR N = 2 BY EXPLICIT SYMBOL FACTORIZATION.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 29. ISSUE 1. P. 70 -109 37 90% 1
3 MERZON, AE , MENDEZ, JED , (2011) DN-SCATTERING OF A PLANE WAVE BY WEDGES.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 34. ISSUE 15. P. 1843 -1872 17 100% 6
4 CAMARA, MC , MALHEIRO, MT , (2014) RIEMANN-HILBERT PROBLEMS, TOEPLITZ OPERATORS AND Q-CLASSES.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 80. ISSUE 2. P. 239 -264 17 85% 0
5 MISHURIS, G , ROGOSIN, S , (2014) AN ASYMPTOTIC METHOD OF FACTORIZATION OF A CLASS OF MATRIX FUNCTIONS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 470. ISSUE 2166. P. - 18 78% 2
6 EHRHARDT, T , NOLASCO, AP , SPECK, FO , (2011) BOUNDARY INTEGRAL METHODS FOR WEDGE DIFFRACTION PROBLEMS: THE ANGLE 2 PI/N, DIRICHLET AND NEUMANN CONDITIONS.OPERATORS AND MATRICES. VOL. 5. ISSUE 1. P. 1 -39 17 89% 2
7 EHRHARDT, T , SPECK, FO , (2002) TRANSFORMATION TECHNIQUES TOWARDS THE FACTORIZATION OF NON-RATIONAL 2 X 2 MATRIX FUNCTIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 353. ISSUE . P. 53-90 20 91% 17
8 CASTRO, LP , (2003) REGULARITY OF CONVOLUTION TYPE OPERATORS WITH PC SYMBOLS IN BESSEL POTENTIAL SPACES OVER TWO FINITE INTERVALS.MATHEMATISCHE NACHRICHTEN. VOL. 261. ISSUE . P. 23-36 18 95% 7
9 AYUB, M , TIWANA, MH , MANN, AB , (2010) ANALYSIS OF DIFFRACTION OF DOMINANT MODE IN AN ACOUSTIC IMPEDANCE LOADED TRIFURCATED DUCT.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES. VOL. 65. ISSUE 11. P. 995 -1008 14 100% 1
10 GORENFLO, N , KUNIK, M , (2012) A NEW AND SELF-CONTAINED PRESENTATION OF THE THEORY OF BOUNDARY OPERATORS FOR SLIT DIFFRACTION AND THEIR LOGARITHMIC APPROXIMATIONS.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 1. P. 74-102 15 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 20075 BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS
2 7124 PHYSICAL OPTICS//PHYSICAL OPTICS PO//PHYSICAL THEORY OF DIFFRACTION
3 26928 EMBEDDING FORMULAE//DIFFRACTION BY CONES//PARAMETER DERIVATIVES
4 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
5 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
6 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
7 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
8 3816 MUFFLER//JOURNAL OF SOUND AND VIBRATION//SPACE CONSTRAINTS
9 25530 CONVOLUTION OF FOURIER EXPANSIONS//CRACKED DOMAIN//ARBITRARY PARTITION OF BOUNDARY
10 8425 SOUND INSULATION//SOUND TRANSMISSION LOSS//APPLIED ACOUSTICS

Go to start page