فرشید عبدالهی

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ریاضی
درباره

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موضوع های تحقیق
  • جبر خطی و نظریه عملگرها

    آنالیز تابعی

    جبرخطی عددی و کاربردهای آن

    نظریه قابها و موجک

     

درس ها

  • Fall 2018:
    Advanced Numerical Analysis (MSc Course),
    Iterative Methods in Numerical Linear Algebra (PhD Course).

    Winter 2018:
    Numerical Linear Algebra and Data Mining (PhD Course).

    Fall 2017:
    Advanced Numerical Analysis (MSc Course),
    Elementary Matrix and Linear algebra.

    Winter 2017:
    Real Analysis  (MSc Course),
    Numerical Linear Algebra and Data Mining (PhD Course),
    Mathematical Software.

    Fall 2016:
    Advanced Numerical Analysis (MSc Course).

    Winter 2016:
    Numerical Linear Algebra and Data Mining (PhD Course),
    The mathematical foundations of compressed sensing (PhD Course).

    Fall 2015:
    Advanced Numerical Analysis (MSc Course),
    Iterative Methods in Numerical Linear Algebra (PhD Course).

    Winter 2015:
    Foundation of Geometry.

    Fall 2014:
    Advanced Numerical Analysis (MSc Course),
    Elementary Matrix and Linear algebra,
    Topics in Mathematics and Applications.

    Winter 2014:
    Iterative Methods in Numerical Linear Algebra (PhD Course),
    Topics in Numerical Analysis, Numerical Linear Algebra.

    Fall 2013:
    Advanced Numerical Analysis (MSc Course),
    Numerical Linear Algebra and Data Mining (PhD Course).

    Winter 2013:
    Numerical Linear Algebra.

    Fall 2012:
    Advanced Numerical Analysis (MSc Course),
    Advanced Engineering Mathematics (MSc Course),
    Mathematical Software.

    Winter 2012:
    Functional Analysis (MSc Course),
    Theory of Frames with Applications (PhD Course),

    Fall 2011:
    Advanced Numerical Analysis  (MSc Course),
    Approximation Theory (MSc Course),

    Winter 2011:
    Linear Algebra

    Fall 2010:
    Advanced Numerical Analysis  (MSc Course),
    Numerical Linear Algebra (MSc Course),

    Winter 2010:
    Advanced Numerical Analysis  (MSc Course),
    Numerical Analysis II, Approximation Theory (MSc Course),

    Fall 2009:  
    Applied Functional Analysis (MSc Course),
    Topics in Mathematical Analysis (PhD Course),
    Advanced Numerical Analysis  (MSc Course),
    Mathematical Analysis II

    Winter 2009:
    Wavelet Theory (PhD Course),
    Advanced Numerical Analysis  (MSc Course),
    Numerical Linear Algebra (MSc Course)

    Fall 2008:
    Operator Theory (PhD Course),
    Advanced Numerical Analysis  (MSc Course)

    Winter 2008:
    Mathematical Analysis III,  
    Numerical Analysis I,
    Numerical computation methods

    Fall 2007:
    Wavelet Theory (PhD Course),
    Advanced Numerical Analysis  (MSc Course)

    Winter 2007:
    Sabbatical Leave, Auckland university, Auckland

    Fall 2006:
    Sabbatical Leave, Auckland university, Auckland

    Winter 2006:
    Mathematical Analysis III,
    History of Mathematics,

    Fall 2005:
    Real Analysis  (MSc Course)

    Winter 2005:
    Advanced Numerical Analysis  (MSc Course),
    Mathematical Analysis III,
    Mathematics softwares with application in Mathematics education

    Fall 2004 :
    Banach Algebras (PhD Course),
    Mathematical Analysis III

    Winter 2004:
    Advanced Numerical Analysis  (MSc Course),
    Graph Theory

    Fall 2003:
    Discret Mathematics,
    Real Analysis  (MSc Course),
    Graph Theory

    Winter 2003:
    Mathematical Analysis III ,
    Numerical Analysis II

    Fall 2002:
    Real Analysis  (MSc Course),
    Advanced Numerical Analysis  (MSc Course),
    Numerical Analysis II,
    Discrete Structure (Computer Students)

    Winter 2002:
    Mathematical Analysis III,
    Numerical Analysis II,
    Calculus II

    Fall 2001:
    Mathematical Analysis III,
    Mathematical Analysis I,
    Numerical Analysis II,
    Discrete Mathematics

    Winter 2001:
    Functional Analysis (MSc Course),
    Mathematical Analysis III,
    Mathematical Analysis II,
    Discrete Mathematics

    Fall 2000:
    Mathematical Analysis III,
    Mathematical Analysis II,
    Numerical Analysis I,
    Discrete Mathematics

    Winter 2000:
    Complex functions,
    Numerical Analysis I,
    Mathematical Analysis II,
    Discrete Mathematics

    Fall 1999:
    Mathematical Analysis I,
    Elementary Mathematical Analysis,
    Calculus for biology,
    Mathematics for Economic

    Winter 1999:
    Numerical Analysis II,
    Mathematical Analysis I,
    Computer programming,
    Advanced computer programming

    Fall 1998:
    Calculs II, Calculus I,
    Mathematical Analysis I,
    Calculus for biology,
    Mathematics for Economic

    Winter 1998:
    Calculus II,
    Calculus II (for Agriculture),

    Fall 1997:
    Calculus I,
    Differential Equation 

انتشارات
    1. A. Abdollahi and E. Rahimi, Stability of g-frame expansions Iranian Journal of Mathematical Sciences and Informatics, (2016) 11, 57-67.
    2. A. Abdollahi and M. T. Heydari, The numerical range of finite order elliptic automorphism composition operators, Linear Algebra and its Applications, (2015) 483, 128-138.
    3. A. Abdollahi, S. Mehrangiz and T. Rooientan, Self-commutators of composition operators with monomial symbols on‎ ‎the Bergman space, Bulletin of the Iranian Mathematical Society (2015) 47, 65-76.
    4. A. Abdollahi, S. Mehrangiz and T. Rooientan, Adjoint of some composition operators on the Dirichlet and Bergman spaces,‎ Bulletin of the Belgian Mathematical Society -- Simon Stevin, (2015) 22, 59-69.
    5. A. Abdollahi and M. T. Heydari, numerical range and SOT-convergency Communications of the Korean Mathematical Society, (2015) 30, 167-176.
    6. A. Abdollahi and M. Monfared pour, Tetris Tight Frames Construction via Hadamard Matrices Abstract and Applied Analysis, (2014) 2014, 1-8.
    7. A. Abdollahi, On the Numerical Ranges of a Tridiagonal Operators, International Journal of Mathematical Analysis, (2014) 8, 1785-1789
    8. A. Abdollahi and M. Monfared pour, A recursive construction of a class of finite normalized tight frames, Wavelets and Linear Algebra, (2014) 1, 1-7
    9. A. Abdollahi and E. Rahimi, G-Frame Representation and Invertibility of G-Bessel Multipliers, J. Math. Research with Applications, (2013) Vol. 32, 392-402
    10. A. Abdollahi and E. Rahimi, Generalized Frames on Super Hilbert spaces, Bull. Malays. Math. Sci. Soc., (2012) Vol. 35, 807–818
    11. A. Abdollahi and S. Mehrangiz, Self-commutators of composition operators with monomial symbols on the Dirichlet space, Abstract and Applied Analysis, Vol. 2011,  Article ID 618968, 9 pages, Doi: 10.1155/2011/618968
    12. A. Abdollahi and M. T. Heydari, Spatial Numerical Range of Operators on Weighted Hardy Spaces, International Journal of Mathematics and Mathematical Sciences, vol. 2011, Article ID 812680, 8 pages, 2011. Doi:10.1155/2011/812680
    13. A. Abdollahi and E. Rahimi, Some results on g-frames in Hilbert spaces, Turkish Journal of Mathematics, (2011) Vol. 35, 695 – 704
    14. A. Abdollahi and E. Rahimi, Multiresolution analysis on the Hardy space of analytic functions, Int. Journal of Math. Analysis, (2010) Vol. 21, 1019-1025.
    15. A. Abdollahi, J. Cheshmavar and M. Taghavi, Wavelets generated by the Rudin-Shapiro polynomials, Central European J. Math., (2011) Vol 9 (2), 441-448.
    16. A. Abdollahi, On self-inverse operators, Rendiconti del Circolo Matematico di Palermo, (2009) Vol 58, 257-264.
    17. A. Abdollahi, M.T. Heydari and M. Moosavi, On Numerical Ranges of Nilpotent Elements of C*-Algebra, J. of Math. and Stat., (2009) Vol 5(4), 348-351.
    18. A. Abdollahi and M. T. Heydari, Roots of C*-algebra elements under numerical range condition, Rendiconti del Circolo Matematico di Palermo, (2009) Vol 58, 65-68.
    19. A. Abdollahi, Self-commutators of automorphic composition operators on the Dirichlet space, Proc. Amer. Math. Soc., Vol 136, No. 9 (2008), 3185-3193.
    20. A. Abdollahi, A note on the cyclic vectors of the Banach spaces of  analytic functions, Inter. J. of  Pure and Appl. Math., No.2 (2006), 163-166.
    21. A. Abdollahi, The polynomial numerical hull of a matrix and algorithms for computing the numerical range, No. (2006).
    22. A.  Abdollahi, The numerical range of a composition operator with conformal automorphism symbol, Linear Algebra and its Applications, No. 408 (2005), 177-188.
    23. A. Abdollahi and M. Taghavi, Dyadic representation of the Rudin-Shapiro coefficients with applications, J. Appl. Math. & Computing, No. 18 (2005).
    24. A. Abdollahi and K. Seddighi, Finite codimensional invariant subspaces of Banach spaces of analytic functions,  Rocky Mountain J. Math. (1999), Vol 29, No 2, 1999, 369-381.
    25. A. Abdollahi, The maximal ideal space of analytic Lipschitz algebras, Rendiconti del Circolo Matematico di Palermo, (1998) Vol 47, 347-352

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