Hecke operators and the Control Theorem
Partial Hecke-type operators and their applications
... partial Hecke-type operators by means of Bernoulli polynomials and Euler polynomials, but also functional equations and differential equations related to partial Hecke-type operators and ...
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Hecke operators type and generalized Apostol-Bernoulli polynomials
... The Hecke operators have many applications in various spaces like the space of elliptic modular forms, the space of polynomials and ...of Hecke points on a family of homogeneous varieties, and ...
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Hecke operators in KK-theory and the K-homology of Bianchi groups
... arXiv:1610.06808v1 [math.KT] 21 Oct 2016 THE K-HOMOLOGY OF BIANCHI GROUPS BRAM MESLAND AND MEHMET HALUK ¸SENGÜN Abstract. Let Γ be a torsion-free arithmetic group acting on its associated global symmetric space X . ...
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Lectures on Modular Forms and Hecke Operators. November 13, 2011
... 1. f (x) has no repeated roots modulo `, 2. ` does not divide any denominator involved in our representation of e, and 3. the image of e 1 in F ` [x]/(f (x)) is invertible. For each such prime, we compute the image b p ...
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Characterization Theorem of Generalized Operators
... Mahmmoud Salih * , Sulieman Jomah School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China Abstract In this paper, by using the W-transform of an operator on white noise func- tionals, we ...
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The Fuglede Putnam theorem for quasihyponormal operators
... Lemma 7 [7, Corollary 7]. Let T ∈ Ꮾ(Ᏼ) be a p-hyponormal operator and let S ∗ ∈ Ꮾ() be a p-hyponormal operator. If TX = XS, where X : → Ᏼ is an injective bounded linear operator with dense range then T is a normal ...
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Polaroid operators satisfying Weyl’s theorem
... space operators satisfying Theorem ...space operators are in CHN. (H(p) ∩ CHN /= ∅) An important class of operators in CHN, but not in H(p), is that of paranormal operators ...(i.e., ...
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The Spectral Theorem for Self-Adjoint Operators
... Spectral Theorem addresses this problem by extending the definition of f (A) from polynomials to a broader class of ...Spectral Theorem is a fundamental result in operator theory and more generally C ∗ ...
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Weyl’s theorem for analytically hyponormal operators
... Submitted by R.A. Brualdi Abstract A variant of the Weyl spectrum is discussed. We give the necessary and sufficient condition for T which the Weyl’s theorem holds. Using the new spectrum set we define in this ...
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A New Extension Theorem for Concave Operators
... which a linear map or an affine map is dominated by a K-set-valued map. Peng et al. 21 also proved a Hahn-Banach theorem in which an affine-like set-valued map is dominated by a K- set-valued map. The various ...
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Uniqueness theorem on meromorphic functions and their difference operators
... Abstract In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with ...
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Lp inverse theorem for modified beta operators
... converse theorem for the linear combinations of modified beta op- erators whose weight function is the Baskakov ...inverse theorem, we use the technique of linear approximating method, namely, Steklov ...
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Hereditarily polaroid operators, SVEP and Weyl's theorem
... HP operators, con- sider some elementary properties of HP operators and prove that HP operators have ...HP operators to proving Weyl’s and generalized Weyl’s theorem for (perturbations ...
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A Szegö type theorem for truncated Toeplitz operators.
... On the other hand, certain generalizations of Toeplitz matrices have attracted a great deal of attention in the last decade, namely compressions of multiplication operators to subspaces of the Hardy space which ...
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Generalized weyl's theorem for algebraically quasi paranormal operators
... ≥ d. This enables us to define the index of semi-B-Fredholm T as the index of semi- Fredholm T d . Let BF(H) be the class of all B-Fredholm operators. In [2], they studied this class of operators and they ...
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CiteSeerX — THE BICOMMUTANT THEOREM AND p-MULTIPLIER OPERATORS FOR THE CIRCLE
... normal operators in a Hilbert space are the Fuglede commutativity theorem and von Neumann’s bicommu- tant ...multiplier operators acting in L p -spaces of the circle group, for 1 < p < ...
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The Theory of Reich's Fixed Point Theorem for Multivalued Operators
... point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed point ...
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We obtain the moments of the operators and then prove the basic convergence theorem
... ALOK KUMAR Communicated by J.M. Aldaz This paper is dedicated to Professor Dr. Vishnu Narayan Mishra Abstract. In the present paper, we introduce a Stancu type generalization of generalized Srivastava-Gupta ...
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FRACTIONAL NOETHER'S THEOREM WITH CLASSICAL AND GENERALIZED FRACTIONAL DERIVATIVE OPERATORS
... derivative operators, and derive a Noether type symme- try theorem to fractional problems of the calculus of variations with classical and generalized fractional derivative ...This theorem provides ...
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A theorem on localized self adjointness of Shrödinger operators with LLOC1 potentials
... If T is a self-adjoint semibounded opera- tor, the domain of the closed form associated with T will be denoted by Q(T) and.. the form by <u,v>--> (Tu/v) for u,v Q(T)[r] ...
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