• 대한수학회지
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• 제59권2호
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• pp.367-377
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• 2022

Let G be a non-discrete locally compact abelian group, and 𝜇 be a transformable and translation bounded Radon measure on G. In this paper, we construct a Segal algebra S_𝜇(G) in L¹(G) such that the generalized Poisson summation formula for 𝜇 holds for all f ∈ S_𝜇(G), for all x ∈ G. For the definitions of transformable and translation bounded Radon measures and the generalized Poisson summation formula, we refer to L. Argabright and J. Gil de Lamadrid's monograph in 1974.

• Korean Journal of Mathematics
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• 제9권2호
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• pp.105-114
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• 2001

In this paper we introduce the concepts of generalized bounded variation with respect to a strictly increasing function and Denjoy-Stieltjes integral of real-valued functions and then prove some properties of them.

• 대한수학회보
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• 제36권3호
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• pp.477-481
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• 1999

Every spectrally bonded Jordan derivation on a unital Banach algebra maps into its Jacobson radical.

• 충청수학회지
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• 제35권2호
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• pp.161-170
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• 2022

It is presented a Banach space of functions of bounded mean oscillation BMO type.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제5권
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• pp.523-523
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• 1997

Suppose that G is a group of permutations of a set ${\Omega}$. For a finite subset ${\gamma}$of${\Omega}$, the movement of ${\gamma}$ under the action of G is defined as move(${\gamma}$):=$max\limits_{g{\epsilon}G}|{\Gamma}^{g}{\backslash}{\Gamma}|$, and ${\gamma}$ will be said to have restricted movement if move(${\gamma}$)<|${\gamma}$|. Moreover if, for an infinite subset ${\gamma}$of${\Omega}$, the sets|{\Gamma}^{g}{\backslash}{\Gamma}| are finite and bounded as g runs over all elements of G, then we may define move(${\gamma}$)in the same way as for finite subsets. If move(${\gamma}$)${\leq}$m for all ${\gamma}$${\subseteq}$${\Omega}$, then G is said to have bounded movement and the movement of G move(G) is defined as the maximum of move(${\gamma}$) over all subsets ${\gamma}$ of ${\Omega}$. Having bounded movement is a very strong restriction on a group, but it is natural to ask just which permutation groups have bounded movement m. If move(G)=m then clearly we may assume that G has no fixed points is${\Omega}$, and with this assumption it was shown in [4, Theorem 1]that the number t of G=orbits is at most 2m-1, each G-orbit has length at most 3m, and moreover|${\Omega}$|${\leq}$3m+t-1${\leq}$5m-2. Moreover it has recently been shown by P. S. Kim, J. R. Cho and C. E. Praeger in [1] that essentially the only examples with as many as 2m-1 orbits are elementary abelian 2-groups, and by A. Gardiner, A. Mann and C. E. Praeger in [2,3]that essentially the only transitive examples in a set of maximal size, namely 3m, are groups of exponent 3. (The only exceptions to these general statements occur for small values of m and are known explicitly.) Motivated by these results, we would decide what role if any is played by primes other that 2 and 3 for describing the structure of groups of bounded movement.

• 한국조경학회지
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• 제34권5호
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• pp.84-99
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• 2006

The traditional temples located in national parks have various functions, such as religious practice, tourist destination, and conservation for cultural and natural resources. One functions have implicit monetary values in terms of public benefits. The purpose of this study was to estimate both use and non-use conservation values for two traditional temples, Sinheungsa and Haeinsa, using the contingent valuation method. In the study, both single-bounded and double-bounded dichotomous choice methods were used in an application of Turnbull distribution-free model. A total of 659 visitors were interviewed, 350 in Sinheungsa and 309 in Haeinsa. The mean WTP (willingness to pay) for Sinheungsa using single-bounded method was 4,040 Won for the use value, 6,157 Won for the cultural conservation value, and 5,624 Won for the natural conservation value. The mean WTP for Haeinsa using single-bounded method was 6,463 Won for the use value, 8,769 Won for the cultural conservation value, and 8,013 Won for the natural conservation value. The total economic value of each temple accounted for 50% (Sinheungsa) and 80% (Haeinsa) of the total economic value of the associated national park. It was also found that the single-bounded method was more conservative than the double-bounded method in terms of value estimation. The WTP was highest for the cultural conservation value and lowest for the use values in both temples, with natural conservation values falling in the middle, which showed that people perceived traditional temples as the cultural heritage. Based on these results, it was suggested that traditional temples should be designated as an 'multiple heritage area' so that conservation can be used as the main criteria for various use programs.

• Korean Journal of Mathematics
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• 제17권1호
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• pp.37-41
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• 2009

We would like to propose Dirichlet-Jordan theorem on the space of summable in measure(SIM). Surely, this is a kind of extension of bounded variation([1, 4]), and considered as an application of fuzzy set such that ${\alpha}$-cut is 0.

• 충청수학회지
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• 제23권1호
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• pp.119-126
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• 2010

In this paper, we find the formula for the analogue of Wiener measure over the subset of C[0, T] bounded by the sectionally differentiable functions, which is a generalization of Park and Skoug's results in [2].

• 대한수학회지
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• 제52권4호
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• pp.699-725
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• 2015

In this paper, we study the estimation for algebraic polynomials in the bounded and unbounded regions bounded by piecewise Dini smooth curve having interior and exterior zero angles.

• East Asian mathematical journal
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• 제4권
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• pp.1-13
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• 1988

We consider some properties of the completely bounded representations of C*-algebras. We discuss the relation between the k-similarity and the property $D_k$ and get the result every k-similar C*-algebra has property $D_k$. Moreover we determine the similarity problem for the algebra C$\bigoplus$C precisely and constructively.