Professor

VELI SAHMUROV

Contact    Education    Courses    Research 

 Projects   List of Papers   List of Conference Proceedings

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Contact

Tel:  +90  212 4737070 (Ext. 17907)

Fax: +90 212 473 7064

E-mail:  sahmurov@istanbul.edu.tr   ,      sahmurovveli@yahoo.com

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Education  

Ph.DR .-1979; Science Dr- 1987 on V. A. Steklov Institute of Mathematics, Moscow.

 

Lessons and Courses  at Istanbul University

  1. Differential  Equations
  2. Linear Algebra
  3. Calculus 1, 2, 3
  4. Harmonic Analysis
  5. Vector analysis
  6. Generalized functions

 

 

 

Research Topics

  • Theory operators in Banach spaces 
  • Embedding theorems in Banach-valued function spaces
  • Differential-operator equations
  • Boundary value problems
  • Abstract harmonic analysis
  • Spectral theory of differential operators
  • Wavelet theory
  • Time –Frequancy Analysis.

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Projects

1.

Multi wavelets transformations and applications

BYP-55/23012003

2

Boundary value problems for regular degenerate differential Operator equations

BYP-537/24112004

3

Embedding theorems in Banach-valued function spaces

 UDP-227/18022004

4

Regular and singular degenerate  Boundary value problems in Banach- valued spaces.

 UDP-543/17062005

5

Embedding operators and Maximal regular differential operators.

BYP-7941710022005

6

Separable anisotropic differential operators with parameters and applications

UDP-748/11052006

7

Maximal B-regular boundary value problems with parameters

BYP-39/30102006

8.

Separable anisotropic differential operators and applications

BYP-1133/2.05.2007

9

Embedding and maximal regular differential operators in Sobolev-Lions spaces

BYP-1134/2.05.2007

10

Nonlinear abstract boundary value problems in vector-valued function spaces and applications

BYP-1135/2.05.2007

 

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List of Books

1.

Linear Algebra, 1999, Istanbul,  Papatya

2

Applications of Linear Algebra, 2000, Istanbul, Papatya

3.

Linear Algebra and Applications, in press USA

 

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List of Papers  

1

 (SCI)  Yakubov S, Y., Shakhmurov V. B., Theorems on imbedding in anisotropic spaces of vector-valued functions, Mathematical Notes., 22, ( 1-2 )1977, 657-659

2

Yakubov S. Y., Shakhmurov V. B., The embedding and trace theorems in the anisotropic space of vector- functions, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (11), 1977, 15-18

3

(SCI)  Shakhmurov V. B., Compactness of embedding in anisotropic  vector function spaces, and applications DOKLADY AKADEMII NAUK SSSR, 241, ( 6 ),1285-1287, 1978

4

Shakhmurov V. B., Coercive solvability of boundary value problems for partial differential-operator equations of some class DOKLADY AKADEMII NAUK AZERBAICAN SSR, (6), 3-7, 1978.

5

Shakhmurov V. B., Coercive solvability of boundary value problems for elliptic differential-operator equations, (1905-79), BINITI, 1979

6

Shakhmurov V. B., Coercive solvability of boundary value problems for differential-operator equations on R, Manuscript (1684-90 ), BINITI, 1980

7

Shakhmurov V. B., The Fredholm properties of general boundary value problems for differential-operator equations in partial derivatives IZVESTIYA AKADEMII NAUK AZERBAICAN SSR, Mat. (2) 1981,  32-36

8

Shakhmurov V. B., The completeness of the system of eigen and adjoint vectors of nonlocal boundary value problems for quasi elliptic differential-operator equations in partial derivatives, Proceeding of Theory operators in function spaces, Baku, 202-209, 1982

9

Shakhmurov V. B., Theorems about an isomorphism general boundary value problems for differential-operator equations in Banach paces,  ( 3799-27 ), VINITI, 1982

10

(SCI) Maksudov F. G., Shakhmurov V. B., On the completeness of the system of the eigen and attached vectors of the non local boundary -value problems for the quasi-elliptic partial -differential-operator equations, DOKLADY AKADEMII NAUK SSSR, 268 (1 ), 33-35, 1983

11

(SCI) Maksudov F. G., Shakhmurov V. B., The estimations of resolvent for some class of quasi- elliptic partial differential-operator equations, DOKLADY AKADEMII NAUK SSSR, 268 (4 ), 799-802, 1983

12

Shakhmurov V. B., The completeness of the systems of eigen and adjoint  vectors of boundary value problems for elliptic differential operator equations in partial derivatives, IZVESTIYA AKADEMII NAUK AZERBAICAN SSR, (1), 21-28, 1983

13

Shakhmurov V. B., Fredholm properties of general boundary value problems or elliptic equations with nonselfedjoint operator coefficients, DOKLADY AKADEMII NAUK AZERBAICAN SSR,  (7), 1983

14

Shakhmurov V. B., Fredholm properties of general boundary value problems for quasi elliptic equations with operator coefficients depending on variables, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (8), 7-10, 1983

15

Shakhmurov V. B., Theorems of on nuclearity of embedding operators in abstract anisotropic spaces, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (11),1984

16

Shakhmurov V. B., The coercive solvability of boundary value problems for degenerating differential-operator equations, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (12),1984

17

(SCI) Shakhmurov V. B., The embedding -theorems in abstract anisotropic spaces and their applications, DOKLADY AKADEMII NAUK SSSR, 281, ( 5 ), 1068-1072, 1985

18

(SCI) Shakhmurov V. B., Coercive boundary- value problems for degenerate abstract equations DOKLADY AKADEMII NAUK SSSR, 1985, 280, ( 6 ), 1316-1320

19

Shakhmurov V. B., K. Kerimov,  Coercive solvability of boundary value problems for differential-operator equations on R+, Manuscript (1685-90 ), BINITI, 1985

20

Shakhmurov V. B., Coercive boundary problems for degenerating equations in the half space, IZVESTIYA AKADEMII NAUK AZERBAICAN SSR (6), 8-11, 1985

21

(SCI) Shakhmurov V. B., Coercive boundary value problems for strongly degenerating differential-operator equations, DOKLADY AKADEMII NAUK SSSR, 290 ( 3 ), 37-40, 1986

22

(SCI) Shakhmurov V. B., Theorems of embedding compactness of in weighted anisotropic spaces and their applications, DOKLADY AKADEMII NAUK SSSR, 291, ( 6 ), 1986,1305-1309

23

(SCI) Shakhmurov V. B., The embedding theorems in abstract function spaces and their applications, Mathematics of the USSR-SBORNIK, 134(1-2), 261-276, 1987

24

Shakhmurov V. B., Coercive boundary value problems for degenerating equations in the half space, DOKLADY AKADEMII NAUK AZERBAICAN SSR, ( 3 ), 1987

25

Shakhmurov V. B., The embedding theorems for class of vector –functions, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (4), 1987

26

Shakhmurov V. B., Embedding theorems for class vector-valued functions, DOKLADY AKADEMII NAUK AZERBAICAN SSR, (3), 1987, 6-9

27

(SCI) Shakhmurov V. B., Embedding theorems and their applications to degenerate equations, Differential  Equations, 24, ( 4) 1988, ), 475-482

28

(SCI) Lizorkin P. I., Shakhmurov V. B.,  Embedding theorem for vector-valued functions. 1, IZVESTİYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATİKA (1), 1989, 70-79

29

(SCI)  Shakhmurov V. B, Coercive boundary value problems for degenerate anisotropic equations, IZVESTİYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA ( 8 ), 1989, 69-78

30

(SCI) Lizorkin P. I., Shakhmurov V. B.,  Embedding theorem for vector-valued functions. 1, IZVESTİYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA (2), 1989,  47-54

31

(SCI) Shakhmurov V. B., Babaev A. A., Coercive problems for equations with parameters, DOKLADY AKADEMII NAUK SSSR, 315 (1 ), 1990, 799-802

32

Shakhmurov V. B., Jebrailov M. S., About compactness of an embedding B-spaces, DOKLADY AKADEMII NAUK AZERBAICAN  SSR, (3 ), 1990

33

Shakhmurov V. B., Boundedness of embedding operators in Sobolev weighted abstract functions spaces and their applications to differential equations,  Proceed. University of P. Lmumba, Moscow, 1992

34

Shakhmurov V. B., Coercive problems for quasi elliptic partial differential- operator equations, Manuscript no ( 2579-93 ), VINITI, 1993

35

Shakhmurov V. B., The embedding theorems in weight abstract anisotropic spaces  theory linear and non linear operator equations,  Proceed. Inst. Math. AKAD. NAUK. Azerbaican SSR, 1994

36

Shakhmurov V. B., Embedding theorems in abstract B- spaces and their applications, Proceeding of Azerbaijan Math. Society, 1994,103-106

37

Shakhmurov V. B., H. Akcha , G. Arslan, Differential-operator equations with bounded delay, Non linear Times and Digest ( 2 ), 1995, 179-190

38

Karakash H. I., Shakhmurov V. B., Yakubov S. Y., Degenerate elliptic boundary value problems, Applicable Analysis, ( 60), 1995, 155-174

39

Shakhmurov V. B., Embedding theorems in Banach valued Liuvill-Sobolev spaces and their applications, Journal of Electrical and Electronics,  ( 2 ), 2002, 575-591

40

Shakhmurov V. B.,  Demir H., A  rectangular time-frequency lattice of Gabor Expansion, Journal Of Electrical and Electronics (2),2002, 541-545

41

Shakhmurov V. B., A. Zayed, Fractional Wigner and Ambiguity functions, Fractional calculus and applied analysis, 6(4), 2003, 473-490

42

Shakhmurov V. B., Fractional Weyl-Heisenberg frames and applications, Sampling theory in signal and image Processing, 3 ( 3), 2004, 227-257

43

(SCI) Shakhmurov V. B., Embedding theorems and maximal regular differential operator equations in Banach-valued function spaces, Journal of Inequalities and Applications, ( 2 ), 2004, 605-620

44

Shakhmurov V. B., Boundary value problems for differential-operator equations with parameter, Archive of inequalities and applications, (1)2004, 159-162

45

Shakhmurov V. B., Regular and singular degenerate boundary value problems in Banach-valued function spaces, Proceeding of the conference Differential & Difference equations and Applications, Hindavi Publishing Corporation, USA, 2006, 1-10

46

(SCI) Shakhmurov V. B., Coercive boundary value problems for regular degenerate differential-operator equations, Journal of Math. Anal.  Appl., 292, 2004 (2), 605-620

47

Shakhmurov V. B., Coercive boundary value problems for regular degenerate equations, Proceedings of Dynamical Systems and applications  ( 4 ), 2004, 452-458

48

Shahmurova A. M., Shakhmurov V. B., Fractional Time-Varying Energy Distributions of Biological signals, Applicable Analysis, ( 85) 2005,  539-553

49

(SCI)  Agarwal R., Bohner M.,  Shakhmurov V. B.,  Maximal regular boundary value problems in Banach-valued weighted spaces, Boundary value problems, (1)2005, 9-42

50

Shakhmurov V. B.,  Maximal regular boundary value problems for differential operator equations in Banach-valued function spaces, International journal of Mathematics and Mathematical Sciences, v. 2006, (2006), 1-26

51

(SCI) Shakhmurov V. B., Embedding theorems in Banach-valued B- spaces and maximal B-regular differential operator equations, Journal of Inequalities and Applications, volume 2006, 1-22

52

(SCI)Shakhmurov V. B., Separable anisotropic differential operators and applications, J. Math. Anal. Appl.  2006, 327(2), 1182-1201

53

Agarwal R., Bohner M., Shakhmurov V. B, Linear and nonlinear nonlocal boundary value problems for differential-operator equations, Applicable analysis 2006, 85 (6-7), 701-716

54

(SCI) Shakhmurov V. B., Embedding and maximal regular differential operators in Sobolev-Lions spaces, Acta Mathematica Sinica, 22(5) 2006, 1493-1508

55

(SCI) Shakhmurov V. B., Nonlinear abstract boundary value problems in vector-valued function spaces and applications, Nonlinear Analysis Series A: Theory, Method &  Applications,  v. 67(3) 2006, 745-762.

56

(SCI) Shakhmurov V. B., Maximal B-regular boundary value problems with parameters, J. Math. Anal. Appl.  320, (2006),1-19

 

57

(SCI) ) Shakhmurov V. B., Degenerate differential operators with parameters, Abstract and  Applied Analysis, 2007 ( Accepted )

58

(SCI) ) Shakhmurov V. B, Embedding theorems in B-spaces and applications,

 Chinese Annals of Mathematics, Ser.B. 2007 ( Accepted )

59

(SCI)  Agarwal R., O’ Regan, D., Shakhmurov V. B., Separable anisotropic differential operators in weighted abstract spaces and applications, J. Math. Anal. Appl.  2007,  ( Accepted )

 

List of Conferance Proceedings

1

Isomorphism theorems for boundary value problems in Lp Mater.1. Resp. Science Conf. Azerb. Baku,1978

2

Normal solvability of general boundary value problems Mater.Inter.Confer."Theor.Operator.in Function spaces, Minski,1978

3

About one nonelliptic boundary value problems Mater. Resp. Konf. Inst. Math. Azerb. Baku1981, p.395-397

4

Embedding theorems in abstract spaces and applications, Proceed. Forth. Math. Conference, 1983, p. 261-264

5

Embedding theorems  in Banach-valued function spaces and applications, International conference Function spaces, Differential operators, Nonlinear analysis, Slovak, 24.06-29.06.1988, Czechoslovak Republie, Prague

6

Embedding theorems in Banach-valued Liuoville- Sobolev Spaces and their applications International conference Function spaces, Differential operator devoted 90 yearth of S M .Nikolski  1995, Moscow

7

Embedding theorems in abstract B- spaces and their applications, Proceed. Resp. Math. Conference, 1993

8

Theorems on compactness of embedding operators in abstract anisotropic spaces, 1994

9

Coercive boundary value problems for strongly degenerate differential-operator equations in Banach-valued function spaces, Proceed. Resp. Math. Conference, 1997

10

Embedding theorems and applications International conference of  function spaces, Differential operators, devoted 75 yearth birthday of L.D. Kuderyavtsev, 1998, Moscow

11

A fractional discrete  lattice of Gabor expansion  IEE Signal processing and applications, SIU-2000 SF-611-616

12

A fractional discrete Gabor transformations !EEE, the 26-th Konf.an Acoustic ICASSP-2001, Salt.Lake.City, Utah. 2001

13

Embedding theorems in Banach-valued function spaces and their applications to coercive boundary value problems InternationalConference Function spaces, Differential operators, Nonlinear analysis Devoted 65 yearth birthday of H.Triebel, Germany, Göttingen, 2001

14

Coercive boundary value problems for regular degenerate equations 4-th International Conference Dynamical systems and applications, Atlanta, Georgia, 2003,USA, 21-24

15

Embedding operators and maximal regularity for differential-Operator equations in Banach-valued function spaces Iternational Workshop on Sampling Theory and Applications, Stroble, Salzburg, Austria, 26.5.2003-3.06.2003

16

Maximal regular boundary value problems in Banach-valued Weighed spaces International workshop on differential equations and Its applications, 15-17 09.2004, Istanbul

17

Embedding operators  in Banach-valued function spaces and applications International conference Function spaces, Differential operators, Nonlinear analysis, Svartka, 27.05-2.06.2004, Czech Republie, Prague

18

Embedding operators in Banach-valued Besov spaces and optimal B-regular boundary value problems, International Conference SampTa05 ( Sampling theory and applications), 10-15. 07. 2005, Samsun, Turkey

19

Regular and Singular degenerate boundary value problems, International conference Differential and Difference Equations, 1-5. 08. 2005, Florida, Melbourne,  USA

20

Separable degenerate differential operators with parameters, International conference Operator theory, Analysis and Mathematical Physics ( OTAMP-2006), 15-22 06 2006, Lund, Sweden

21

Embedding theorems in weighted vector-valued spaces and applications, International conference Function spaces, Differential operators, Nonlinear analysis, Baky, 1988

 

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