Hiroyuki Chihara
College of Education
University of the Ryukyus
Nishihara, Okinawa 9030213, Japan
Hiroyuki Chihara is a Japanese mathematician who had been working on partial differential equations and geometric analysis, in particular the analysis of dispersive partial differential differential equations on the Euclidean space and dispersive flows from Riemannian manifolds to almost Hermitian manifolds. He thought it was interesting to see the invisible inside by measuring the outside, so he started research on microlocal analysis of integral geometry in 2020. Roughly speaking, this is an area of mathematics research related to the mathematical principles of CT scanners. He is also interested in medical imaging, security inspection, seismology, ocean science, nonlineofsight imaging, data science, computational science and other applied mathematics related to his current research field. He usually prefers computers with Debian based operating system such as Ubuntu, and likes software such as MATLAB, Julia Programming Language, Mathematica and Maxima. He is currently a general member of AMS and SIAM.
References
Computer Software
Links

Recent Talks

30 November  2 December 2022,
Microlocal analysis of dplane transform on the Euclidean space,
Spectral and Scattering Theory and Related Topics,
RIMS,
Kyoto U, Kyoto, Japan,
slides.

20:2020:35, 24 March 2022,
Microlocal analysis of dplane transform on the Euclidean space,
CP8: Image Modeling and Analysis,
Happening Virtually: SIAM Conference on Imaging Science (IS22),
program,
Technische Universität Berlin,
Berlin, Germany.

9 June 2021, 15:00,
Microlocal analysis of dplane transform on the Euclidean space,
Analysis on Metric Spaces Seminar,
OIST.

Papers and Preprints

Microlocal analysis of dplane transform on the Euclidean space,
SIAM J. Math. Anal., 54(6) (2022), pp.62546287,
doi.

Bargmann transform on the space of hyperplanes,
J. Fourier Anal. Appl., 28 (2022), article No.72, 21 pages,
doi.

Inversion of higher dimensional Radon transforms of seismictype,
Vietnam Journal of Mathematics,
49 (2021), pp.11851198,
doi.

Inversion of seismictype Radon transforms on the plane,
Integral Transforms Spec. Funct., 31 (2020), pp.9981009,
doi.

Bargmanntype transforms and modified harmonic oscillators,
Bull. Malays. Math. Sci. Soc., 43 (2020), pp.17191740,
doi.

Holomorphic Hermite functions in SegalBargmann spaces,
Complex Anal. Oper. Theory, 13 (2019), pp.351374,
doi.

Joint work with Takashi Furuya and Takumi Koshikawa,
Hermite expansions of some tempered distributions,
J. PseudoDiffer. Oper. Appl., 9 (2018), pp.105124,
doi.

Holomorphic Hermite functions and ellipses,
Integral Transforms Spec. Funct. 28 (2017), pp.605615,
doi.

Fourthorder dispersive systems on the onedimensional torus,
J. PseudoDiffer. Oper. Appl., 6 (2015), pp.237263,
doi.

Joint work with Eiji Onodera,
A fourthorder dispersive flow into Kähler manifolds,
Z. Anal. Anwend., 34 (2015), pp.221249,
doi.

Schrödinger flow into almost Hermitian manifolds,
Bull. Lond. Math. Soc.,
45 (2013), pp.3751,
doi.

Joint work with Eiji Onodera,
A third order dispersive flow for closed curves into almost Hermitian manifolds,
J. Funct. Anal., 257 (2009), pp.388404,
doi.

Bounded BerezinToeplitz operators on the SegalBargmann space,
Integral Equations Operator Theory, 63 (2009), pp.321335,
doi.

Gain of analyticity for semilinear Schrödinger equations,
J. Differential Equations, 246 (2009), pp.681723,
doi.

Resolvent estimates related with a class of dispersive equations,
J. Fourier Anal. Appl., 14 (2008), pp.301325,
doi.

The initial value problem for a third order dispersive equation on the two dimensional torus,
Proc. Amer. Math. Soc., 133 (2005), pp.20832090,
doi.

The initial value problem for Schrödinger equations on the torus,
Int. Math. Res. Not., 2002:15 (2002), pp.789820,
doi.

Smoothing effects of dispersive pseudodifferential equations,
Comm. Partial Differential Equations, 27 (2002), pp.19532005,
doi.

Gain of regularity for semilinear Schrödinger equations,
Math. Ann., 315 (1999), pp.529567,
doi.

The initial value problem for the elliptichyperbolic DaveyStewartson equation,
J. Math. Kyoto Univ., 39 (1999), pp.4166,
doi.

The initial value problem for cubic semilinear Schrödinger equations,
Publ. Res. Inst. Math. Sci., 32 (1996), pp.445471,
doi.

Global existence of small solutions to semilinear Schrödinger equations,
Comm. Partial Differential Equations, 21 (1996), pp.6378,
doi.

Global existence of small solutions to semilinear Schrödinger equations with gauge invariance,
Publ. Res. Inst. Math. Sci., 31 (1995), pp.731753,
doi.

Local existence for semilinear Schrödinger equations,
Math. Japon., 42 (1995), pp.3552,
url.

Local existence for the semilinear Schrödinger equations in one space dimension,
J. Math. Kyoto Univ., 34 (1994), pp.353367,
doi.

Refereed Conference Papers

Smoothing effects of dispersive pseudodifferential equations,
Report, Mathematisches Forschungsinstitut Oberwolfach,
20 (2002), pp.23.

The initial value problem for semilinear Schrödinger equations,
GAKUTO Internat. Ser. Math. Sci. Appl., 10 (1997), pp.1924.

Names of TeX files of recent papers

used:
laksa (2017),
haze (2018),
otah (2019),
meepok (2019),
gapao rice (2020),
wanton mee (2021).

unused:
poh,
satay,
nasi lemak,
lapis sagu,
kuih/kue talam,
hokkien mee,
mee goreng,
nasi goreng,
kao mun gai,
char kway teow,
hainanese chicken rice, ...
 Upcoming Events

Webinars and Activity Groups

HKUST Inverse Problems, Imaging and Partial Differential Equations,

Seminar on Microlocal Analysis and Applications,
Yau Mathematical Science Center,
Tsinghua University.

Joint Fudan  RICAM Seminar on Inverse Problems,
RICAM.

UC Irvine, Inverse Problems Seminar,
YouTube Channel

One World IMAGINE Seminar,
YouTube Playlist

One World Mathematics of INformation, Data, and Signals (1WMINDS) Seminar
YouTube Playlist

Conferences: Finnish Inverse Problems Society

Inverse Problems: Modeling and Simulation

SIAM Imaging Science

SIAM Data Science
 Past Events managed in this site

English pronunciation of linux

Update of Julia Programming Language for linux

Set paths
sudo rm rf /usr/local/bin/julia
sudo ln s /usr/local/share/julia1.8.6/bin/julia /usr/local/bin/julia

Jupyter notebook
add IJulia
build IJulia

Remove old versions in Jupyter notebook
jupyter kernelspec list
jupyter kernelspec uninstall KERNEL_NAME

Update of MATLAB for linux

Set paths
sudo rm rf /usr/local/bin/matlab
sudo ln s /home/hc/R2023b/bin/matlab /usr/local/bin/matlab

Edit applications in KDE
matlab desktop