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  • 1.
    Atanasiu, Dragu
    University of Borås, School of Engineering.
    Spectral Measures on Compacts of Characters of a Semigroup2010Conference paper (Refereed)
  • 2.
    Atanasiu, Dragu
    University of Borås, School of Engineering.
    The Disc Algebra and a Moment Problem2007In: Function Spaces: Fifth Conference on Function Spaces, May 16-20, 2006, Southern Illinois University, Edwardsville, Illinois, American Mathematical Society , 2007, p. 53-56Chapter in book (Other academic)
  • 3.
    Atanasiu, Dragu
    et al.
    University of Borås, Faculty of Textiles, Engineering and Business.
    Bengtsson, Anders
    University of Borås, Faculty of Textiles, Engineering and Business.
    Modern differential- och integralkalkyl2015 (ed. 1)Book (Refereed)
  • 4.
    Atanasiu, Dragu
    et al.
    University of Borås, Faculty of Textiles, Engineering and Business.
    Mikusinski, Piotr
    Department of Mathematics,University of Central Florida, Orlando, FL, USA.
    An elementary operational calculus2015In: Mathematical Gazette, ISSN 0025-5572, Vol. 99, no 544Article in journal (Refereed)
  • 5.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Mikusinski, Piotr
    Fourier transform of Radon measures on a locally compact group2010In: Integral transforms and special functions, ISSN 1065-2469, E-ISSN 1476-8291, Vol. 21, no 11, p. 815-821Article in journal (Refereed)
    Abstract [en]

    A space of generalized functions is constructed that allows us to generalize Bochner's theorem so that all Radon measures on a locally compact group are in a one-to-one correspondence with elements of that space of generalized functions. This defines a Fourier transform for all Radon measures on a locally compact group.

  • 6.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Mikusinski, Piotr
    On the fourier transform, Boehmians, and distributions2007In: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 108, no 2, p. 263-276Article in journal (Refereed)
    Abstract [en]

    We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.

  • 7.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Mikusinski, Piotr
    The Fourier transform of Lévy measures on a semigroup2008In: Integral transforms and special functions, ISSN 1065-2469, E-ISSN 1476-8291, Vol. 19, no 8, p. 537-543Article in journal (Refereed)
  • 8.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Mikusinski, Piotr
    Nemzer, Dennis
    An algebraic approach to tempered distributions2011In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 384, no 2, p. 307-319Article in journal (Refereed)
    Abstract [en]

    A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered distributions on RN. The Fourier transform is defined as a map from the space of pseudoquotients to the space of tempered distributions and as a transformation on pseudoquotients.

  • 9.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Mikusinski, Piotr
    Siple, Angela
    Pseudoquotients on commutative Banach algebras2014In: Banach Journal of Mathematical Analysis, ISSN 1735-8787, Vol. 8, no 2, p. 60-66Article in journal (Refereed)
    Abstract [en]

    We consider pseudoquotient extensions of positive linear functionals on a commutative Banach algebra A and give conditions under which the constructed space of pseudoquotients can be identified with all Radon measures on the structure space A.

  • 10.
    Atanasiu, Dragu
    et al.
    University of Borås, School of Engineering.
    Nemzer, Dennis
    Extending the Laplace Transform2008In: Mathematics Student, ISSN 0025-5742, Vol. 77, p. 203-212Article in journal (Refereed)
1 - 10 of 10
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