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Families of Symmetric Operators with Trivial Domains of Their Squares
In an infinite-dimensional Hilbert space we define and study special unbounded maximal dissipative operators and use them for constructions of...
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Unambiguous and Co-nondeterministic Computations of Finite Automata and Pushdown Automata Families and the Effects of Multiple Counters
Nonuniform families of polynomial-size finite automata and pushdown automata respectively have strong connections to nonuniform-NL and...
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Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations
One-parameter semigroups of holomorphic functions appear naturally in various applications of Complex Analysis, and in particular, in the theory of...
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Cohomology-developed matrices: constructing families of weighing matrices and automorphism actions
The aim of this work is to construct families of weighing matrices via their automorphism group action. The matrices can be reconstructed from the...
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Hom-corings, Hom-coalgebra Galois Extensions and Partial Coactions of Monoidal Hom-Hopf Algebras
In this paper, we give the notion of (lax or weak) Hom-corings, which leads to the introduction of partial coaction of a Hom-Hopf algebra on a...
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Boundary Extensions of Map**s Satisfying the Poletsky Inverse Inequality in Terms of Prime Ends
For map**s with branching points satisfying the Poletsky inverse inequality, we obtain some results on their continuous boundary extensions in...
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\(\operatorname {H}^p - \operatorname {H}^q\) Bounded Families
In this chapter we discuss general principles for $$\operatorname {H}^p...
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A formal model of Coleman families and applications to Iwasawa invariants
For a given Coleman family of modular forms, we construct a formal model and prove the existence of a family of Galois representations associated to...
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Generation of Multivariate Quadratic Quasigroups by Proper Families of Boolean Functions
This paper is devoted to the generation of multivariate quadratic quasigroups with the use of proper families of Boolean functions.
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Isotriviality of smooth families of varieties of general type
In this paper, we proved that a log smooth family of log general type klt pairs with a special (in the sense of Campana) quasi-projective base is...
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Power-Saving Error Terms for the Number of \(D_4\) -Quartic Extensions over a Number Field Ordered by Discriminant
We study the asymptotic count of dihedral quartic extensions over a fixed number field with bounded norm of the relative discriminant. The main term...
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Hybrid Extensions of the Minimal Logic
We consider some extensions of Johansson’s minimal logic J. Hybrid logics extend the intersection of the intuitionistic logic Int and the negative...
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On quadratic Ostrowski extensions of imaginary quadratic fields
In this paper we discuss an analogue of Hilbert’s theorems 105 and 106, i.e. a reinterpretation of Gauss’ “genus theory”, for imaginary quadratic...
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New families of fractional Sobolev spaces
This paper presents three new families of fractional Sobolev spaces and their accompanying theory in one dimension. The new construction and theory...
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Nonlinear operator extensions of Korovkin’s theorems
In this paper we extend Korovkin’s theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function...
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Novel results for separate families of fuzzy-dominated map**s satisfying advanced locally contractions in b-multiplicative metric spaces with applications
The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated map**s. These map**s must...
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Backward Extensions of Weighted Shifts on Directed Trees
The weighted shifts are long known and form an important class of operators. One of generalisations of this class are weighted shifts on directed...
