Quantum Field Theory in Terms of Fourier Hyperfunctions
Publications of the Research Institute for Mathematical Sciences, 1976 The Wightman axioms are extended to the quantum field theory in terms of Fourier hyperfunctions. The support concept of hyperfunctions is crucial for the formulation of locality and spectral condition. The complete equivalence is proved between modified Wightman axioms for relativistic theory and modified Osterwalder–Schrader axioms for Euclidean ...
Nagamachi, Shigeaki +1 more
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Kernel Theorem for Fourier Hyperfunctions [PDF]
, 2002 An appropriate general version of the kernel theorem of L. Schwartz is formulated for Fourier hyperfunctions and a direct functional analytic proof is presented.departmental bulletin ...
Nagamachi, Shigeaki +6 more
core
Hyers–Ulam–Rassias stability of Cauchy equation in the space of Schwartz distributions [PDF]
, 2004 We reformulate and prove the Hyers–Ulam–Rassias stability of Cauchy equation in the space of Schwartz tempered distributions and Fourier ...
Chung, Jaeyoung
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Theory of (Vector Valued) Fourier Hyperfunctions. : Their Realization as Boundary Values of (Vector Valued) Slowly Increasing Holomorphic Function, (V) [PDF]
, 1993 We realize partial mixed Fourier hyperfunctions and Frechet-space-valued partial mixed Fourier hyperfunctions as boundary values of (Frechet-space-valued) partially slowly increasing holomorphic functions.
1722 +5 more
core
Stability of an Euler–Lagrange–Rassias equation in the spaces of generalized functions [PDF]
, 2008 Making use of the fundamental solution of the heat equation we reformulate and prove the stability theorem of a special case of the Euler–Lagrange–Rassias functional equation in the spaces of tempered distributions and Fourier ...
Lee, Young-Su, Chung, Soon-Yeong
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Product of Hyperfunctions with Disjoint Support [PDF]
, 2008 We prove that if two hyperfunctions on the unit circle have disjoint support, then the convolution of their Fourier coefficients multiplied with a weight is zero when the weight goes to 1.
Eikrem, Kjersti Solberg
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Stability of Jensen equations in the space of generalized functions [PDF]
, 2004 Making use of heat kernel, we prove stabilities of the Jensen and Jensen–Pexider equations in a space of generalized functions like the spaces of tempered distributions and Fourier ...
Li, Linsong, Kim, Dohan, Chung, Jaeyoung
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Stability of a Jensen type equation in the space of generalized functions [PDF]
, 2006 We reformulate and solve the stability problem of a Jensen type functional equation3f(x+y+z3)+f(x)+f(y)+f(z)−2f(x+y2)−2f(y+z2)−2f(z+x2)=0, in the spaces of some generalized functions such as tempered distributions and Fourier ...
Chung, Yun-Sung +2 more
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Stability of a quadratic Jensen type functional equation in the spaces of generalized functions [PDF]
, 2006 Making use of the fundamental solution of the heat equation we find the solution and prove the stability theorem of the quadratic Jensen type functional equation9f(x+y+z3)+f(x)+f(y)+f(z)=4[f(x+y2)+f(y+z2)+f(z+x2)] in the spaces of Schwartz tempered ...
Lee, Young-Su, Chung, Soon-Yeong
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, 2008 Oppgaven handler om fouriertransformasjon av generaliserte funksjoner, med spesiell vekt på fouriertransformasjon av hyperfunksjoner. Transformasjonen på hyperfunksjoner er deretter sammenlignet med Carlemans fouriertransform, som er en av de tidlige ...
Maria Kristine, Skartsæterhagen
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